ESS-03 / The social contract / Published research
When the economy loses legitimacy
The lower end is steeper: 1.99 democratic-satisfaction points for an economic-score step from 2 to 5, versus 1.56 for 5 to 8. The bend remains after accounting for countries.
A bend in a model is not a proven tipping point. These are perceptions of how democracy works, not a measure of allegiance to democracy.
Inspect the assumptionThe observation
Lower economic satisfaction is associated with lower democratic satisfaction. The steps are not all equivalent.
The test
Hold the survey wave in view. Compare a single slope with a fixed flexible curve, then inspect the same respondents under further adjustment.
The boundary
The model does not identify what would happen if policy changed the economy, or where a sharp democratic tipping point lies.
An unfavorable view of the economy and disappointment with democratic performance can appear in the same interview. How closely do those judgments line up, and does the relationship look the same among people who are deeply dissatisfied and those who are relatively content?
In the pinned Round 11 European Social Survey, equal differences in economic satisfaction correspond to unequal differences in satisfaction with democracy. The fitted democratic-satisfaction difference is 1.99 points between economic ratings of 2 and 5, compared with 1.56 between 5 and 8. That is a bend in the association, not an identified point at which democracy loses legitimacy.
The comparison uses 47,836 paired responses across 30 countries in ESS Round 11, edition 4.2, conventionally labeled 2023/24. The whole source release spans March 11, 2023, to December 1, 2024. These are survey-period judgments, not a reading of public opinion in 2026.
The useful question is whether a straight line conceals something consequential, and whether the bend survives more demanding comparisons. We begin with the answers people actually gave, then ask what a model adds, which assumptions it needs, and where it stops being informative. Keep one country and round in view while examining those assumptions. France in Round 11 provides a concrete example; the headline remains the registered multi-country result.
The model desk
Keep one comparison. Change the assumption.
The estimates are already calculated and reviewed. These controls select evidence; they do not refit a model or move a threshold.
Preparing the reviewed comparison...
The comparison you are carrying
France / Round 11
2023/24 / Flexible curve within countries
- Economic satisfaction score
- 50-10 response scale
- Observed democratic mean
- 5.10France95%: 4.78 to 5.42
- Selected fitted mean
- 5.17France95%: 5.05 to 5.29
1,697 paired responses in the observed scope; 284 at score 5. Model sample: 47,836 respondents across 30 countries.
Country-adjusted models assume a shared curve with different country intercepts. Selecting a country does not estimate a separate national slope. Different question constructs, not an objective democracy score or a causal effect.
Start with the answers, before trusting the curve
The two questions share a scale, but not a subject. One asks about the present state of the country's economy; the other asks about the way democracy works. Both run from 0, "Extremely dissatisfied," to 10, "Extremely satisfied." Dissatisfaction with democratic performance is not necessarily rejection of democracy as a regime, and neither response is an objective measure of institutional quality.
The mean compresses those answers into one number. The distribution layer restores the eleven actual categories, using the same paired-response population for both questions. The paired-response matrix asks a different question: which answers occur together? Its joint view shows a pair's share of all paired respondents; its conditional view changes the denominator to respondents at one economic score. Those percentages are not interchangeable, and a confidence interval around a mean is not the spread of people's answers.
Across the 30 included Round 11 countries, 31.0% of paired respondents give democratic performance a rating at or below 3 under the original ESS analysis weights (95% interval: 30.1% to 31.9%). That is a declared part of the response distribution, not a diagnosis of opposition to democracy. The weighted share and the unweighted count answer different questions.
The people behind the mean / exploratory extension
Look behind the average.
A confidence interval around a mean is not the distribution of respondents. Here, each probability refers to actual answer categories and an explicit survey population.
France / Round 11 / 2023/24
- Paired responses
- 1,697Unweighted respondents with both valid answers
- Paired share of the eligible design
- 95.0%Survey-weighted response coverage, not a country population total
- Complete adjustment records
- 1,676The complete-case domain is smaller than, or equal to, the paired domain
Distribution laboratory / marginal distributions
Two paired-response distributions on their original 0–10 scales
France / ESS Round 11 (2023/24). Weighted category shares use the same 1,697 matched paired responses; they are discrete response probabilities, not smoothed densities.
- Economic satisfactionGold comparison columns; square interval caps.
- Democratic satisfactionBlue primary columns; round interval mark.
Use Left/Right to move across scores and Up/Down to switch questions; Home/End moves to the ends of the current series. Enter/Space or a tap pins; Escape dismisses and restores focus. Pointer movement only inspects. Only an explicit Follow action changes the selected evidence.
Unavailable or suppressed estimates are labelled NA rather than plotted at zero. A sample estimate of 0% or 100% is retained as a boundary observation, but it has no manufactured population interval. Domain n governs precision; sparse event support is reported separately.
Exact weighted marginal estimates, intervals and support
| Score | Economic estimate | Economic 95% interval | Economic n / events | Economic status | Democratic estimate | Democratic 95% interval | Democratic n / events | Democratic status |
|---|---|---|---|---|---|---|---|---|
| 0 | 0.1237819033 (12.378%) | [0.1074421355, 0.142210693] | 1,697 / 197 | Estimated. Domain n = 1,697; event n = 197. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1098183603 (10.982%) | [0.09433834846, 0.1274809452] | 1,697 / 181 | Estimated. Domain n = 1,697; event n = 181. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 1 | 0.05308789126 (5.309%) | [0.04260179013, 0.06597719558] | 1,697 / 87 | Estimated. Domain n = 1,697; event n = 87. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.04564193074 (4.564%) | [0.03625620835, 0.05731286331] | 1,697 / 82 | Estimated. Domain n = 1,697; event n = 82. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 2 | 0.1198181526 (11.982%) | [0.1038326512, 0.1378860331] | 1,697 / 213 | Estimated. Domain n = 1,697; event n = 213. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.09846198929 (9.846%) | [0.0845091991, 0.1144304956] | 1,697 / 168 | Estimated. Domain n = 1,697; event n = 168. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 3 | 0.1740776077 (17.408%) | [0.1567501986, 0.1928822932] | 1,697 / 301 | Estimated. Domain n = 1,697; event n = 301. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1465745434 (14.657%) | [0.1291239164, 0.1659341985] | 1,697 / 241 | Estimated. Domain n = 1,697; event n = 241. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 4 | 0.1604273978 (16.043%) | [0.1431115342, 0.1793997613] | 1,697 / 277 | Estimated. Domain n = 1,697; event n = 277. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1169758834 (11.698%) | [0.1019462863, 0.133890895] | 1,697 / 198 | Estimated. Domain n = 1,697; event n = 198. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 5 | 0.1713445645 (17.134%) | [0.1525788856, 0.1918955977] | 1,697 / 284 | Estimated. Domain n = 1,697; event n = 284. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1699719709 (16.997%) | [0.1507988742, 0.1910344148] | 1,697 / 288 | Estimated. Domain n = 1,697; event n = 288. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 6 | 0.09724588856 (9.725%) | [0.08286395071, 0.1138142031] | 1,697 / 171 | Estimated. Domain n = 1,697; event n = 171. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1027814875 (10.278%) | [0.08930975192, 0.1180219835] | 1,697 / 181 | Estimated. Domain n = 1,697; event n = 181. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 7 | 0.07142327517 (7.142%) | [0.05984600008, 0.08503761021] | 1,697 / 120 | Estimated. Domain n = 1,697; event n = 120. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1165410799 (11.654%) | [0.102460045, 0.1322720781] | 1,697 / 204 | Estimated. Domain n = 1,697; event n = 204. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 8 | 0.02152172488 (2.152%) | [0.01491315407, 0.03096673908] | 1,697 / 35 | Estimated. Domain n = 1,697; event n = 35. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.06274553676 (6.275%) | [0.05090743407, 0.07711282577] | 1,697 / 107 | Estimated. Domain n = 1,697; event n = 107. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 9 | 0.003502736343 (0.350%) | [0.001620578217, 0.00755431427] | 1,697 / 7 | Estimated. Domain n = 1,697; event n = 7. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.01764435517 (1.764%) | [0.01190867402, 0.02606967753] | 1,697 / 27 | Estimated. Domain n = 1,697; event n = 27. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 10 | 0.003768857978 (0.377%) | [0.001443497946, 0.009803411148] | 1,697 / 5 | Estimated. Domain n = 1,697; event n = 5. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.01284286268 (1.284%) | [0.00810017737, 0.02030556247] | 1,697 / 20 | Estimated. Domain n = 1,697; event n = 20. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
Source: European Social Survey, ESS Round 11 (2023/24). ESS analysis weights; survey-design 95% pointwise intervals, not simultaneous bands. Marginal and joint denominators use all matched pairs; conditional denominators use paired responses at the same economic score. Sources, design and limitations.
Distribution laboratory / paired response matrix
Where paired responses sit across both 0–10 scales
France / ESS Round 11 (2023/24). Joint percentages use all 1,697 matched pairs; conditional percentages use only respondents at the same economic-satisfaction score.
Use the arrow keys to move across economic and democratic scores; Home/End moves to the ends of the current democratic row. Enter/Space or a tap pins; Escape dismisses and restores focus. Pointer movement only inspects. Only an explicit Follow action changes the selected evidence.
The matrix describes paired responses, not transitions, flows or causal effects. Joint and conditional percentages use visibly different denominators. Domain precision and sparse event support remain separate; boundary cells do not receive zero-width population intervals. Color locates the responses; the visible interval ledger below carries their precision without requiring hover.
| Democratic score | Weighted estimate | 95% interval | Domain n / events | Support |
|---|---|---|---|---|
| 0 | 4.914% | 95% CI 2.2% to 10.6% | 284 / 12 | Estimated |
| 1 | 1.191% | 95% CI 0.4% to 3.2% | 284 / 4 | Estimated / sparse events |
| 2 | 4.219% | 95% CI 2.1% to 8.1% | 284 / 10 | Estimated |
| 3 | 10.813% | 95% CI 7.6% to 15.2% | 284 / 31 | Estimated |
| 4 | 10.744% | 95% CI 7.4% to 15.3% | 284 / 32 | Estimated |
| 5 | 25.803% | 95% CI 20.0% to 32.6% | 284 / 71 | Estimated |
| 6 | 16.212% | 95% CI 12.1% to 21.4% | 284 / 49 | Estimated |
| 7 | 14.057% | 95% CI 10.2% to 19.1% | 284 / 42 | Estimated |
| 8 | 9.613% | 95% CI 6.3% to 14.4% | 284 / 27 | Estimated |
| 9 | 1.114% | 95% CI 0.2% to 5.8% | 284 / 3 | Estimated / sparse events |
| 10 | 1.319% | 95% CI 0.4% to 4.2% | 284 / 3 | Estimated / sparse events |
Exact 121 paired-response cells, both denominators and intervals
| Economic score | Democratic score | Joint estimate | Joint 95% interval | Joint n / events | Joint status | Conditional estimate | Conditional 95% interval | Conditional n / events | Conditional status |
|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0.06360964673 (6.361%) | [0.05133474973, 0.07857654217] | 1,697 / 101 | Estimated. Domain n = 1,697; event n = 101. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.5138848656 (51.388%) | [0.4375933079, 0.5895348415] | 197 / 101 | Estimated. Domain n = 197; event n = 101. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 0 | 1 | 0.0111810962 (1.118%) | [0.006982125149, 0.01785986386] | 1,697 / 18 | Estimated. Domain n = 1,697; event n = 18. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.09032900535 (9.033%) | [0.05529243365, 0.1441785397] | 197 / 18 | Estimated. Domain n = 197; event n = 18. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 0 | 2 | 0.007509838321 (0.751%) | [0.004302385203, 0.01307706168] | 1,697 / 13 | Estimated. Domain n = 1,697; event n = 13. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.06066992122 (6.067%) | [0.03449862539, 0.1045454328] | 197 / 13 | Estimated. Domain n = 197; event n = 13. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 0 | 3 | 0.01002359149 (1.002%) | [0.005829184388, 0.01718392992] | 1,697 / 15 | Estimated. Domain n = 1,697; event n = 15. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.08097784267 (8.098%) | [0.04740901449, 0.1349484684] | 197 / 15 | Estimated. Domain n = 197; event n = 15. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 0 | 4 | 0.00726282013 (0.726%) | [0.003875058342, 0.01357197262] | 1,697 / 11 | Estimated. Domain n = 1,697; event n = 11. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.0586743291 (5.867%) | [0.03020509012, 0.1109080121] | 197 / 11 | Estimated. Domain n = 197; event n = 11. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 0 | 5 | 0.01367083162 (1.367%) | [0.008528597169, 0.02184521335] | 1,697 / 22 | Estimated. Domain n = 1,697; event n = 22. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.110442894 (11.044%) | [0.06958419749, 0.1708866881] | 197 / 22 | Estimated. Domain n = 197; event n = 22. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 0 | 6 | 0.003076207411 (0.308%) | [0.001236612389, 0.007631489336] | 1,697 / 5 | Estimated. Domain n = 1,697; event n = 5. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.0248518348 (2.485%) | [0.009345401895, 0.06441447492] | 197 / 5 | Estimated. Domain n = 197; event n = 5. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 0 | 7 | 0.005748647952 (0.575%) | [0.002805787011, 0.0117417958] | 1,697 / 9 | Estimated. Domain n = 1,697; event n = 9. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.04644174794 (4.644%) | [0.02262964828, 0.09292784157] | 197 / 9 | Estimated. Domain n = 197; event n = 9. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 0 | 8 | 0.0004576795006 (0.046%) | [0.00006371513822, 0.003279620442] | 1,697 / 1 | Estimated. Domain n = 1,697; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.003697466984 (0.370%) | [0.0005031163773, 0.02663274091] | 197 / 1 | Estimated. Domain n = 197; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 0 | 9 | 0.000792190027 (0.079%) | [0.0001107765565, 0.005641493882] | 1,697 / 1 | Estimated. Domain n = 1,697; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.006399885654 (0.640%) | [0.0008755814741, 0.04520180347] | 197 / 1 | Estimated. Domain n = 197; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 0 | 10 | 0.0004493538927 (0.045%) | [0.00006277002257, 0.003209163903] | 1,697 / 1 | Estimated. Domain n = 1,697; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.003630206685 (0.363%) | [0.0005036666663, 0.02566653337] | 197 / 1 | Estimated. Domain n = 197; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 1 | 0 | 0.008798034551 (0.880%) | [0.005316385548, 0.01452648267] | 1,697 / 15 | Estimated. Domain n = 1,697; event n = 15. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1657258245 (16.573%) | [0.09834561477, 0.2656684866] | 87 / 15 | Estimated. Domain n = 87; event n = 15. Low domain precision: the estimation domain contains 50-99 responses. Event support is not sparse under the reviewed rule. |
| 1 | 1 | 0.01194726795 (1.195%) | [0.007756179376, 0.01836112425] | 1,697 / 22 | Estimated. Domain n = 1,697; event n = 22. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.2250469489 (22.505%) | [0.1478742817, 0.3270374032] | 87 / 22 | Estimated. Domain n = 87; event n = 22. Low domain precision: the estimation domain contains 50-99 responses. Event support is not sparse under the reviewed rule. |
| 1 | 2 | 0.0120715892 (1.207%) | [0.007464934227, 0.01946528616] | 1,697 / 18 | Estimated. Domain n = 1,697; event n = 18. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.2273887494 (22.739%) | [0.1441236669, 0.3396676458] | 87 / 18 | Estimated. Domain n = 87; event n = 18. Low domain precision: the estimation domain contains 50-99 responses. Event support is not sparse under the reviewed rule. |
| 1 | 3 | 0.0090560038 (0.906%) | [0.005212723562, 0.01568820258] | 1,697 / 15 | Estimated. Domain n = 1,697; event n = 15. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1705851106 (17.059%) | [0.09737917675, 0.2816519464] | 87 / 15 | Estimated. Domain n = 87; event n = 15. Low domain precision: the estimation domain contains 50-99 responses. Event support is not sparse under the reviewed rule. |
| 1 | 4 | 0.005886963194 (0.589%) | [0.003123624273, 0.01106777059] | 1,697 / 9 | Estimated. Domain n = 1,697; event n = 9. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.1108908841 (11.089%) | [0.05956462764, 0.1971717665] | 87 / 9 | Estimated. Domain n = 87; event n = 9. Low domain precision: the estimation domain contains 50-99 responses. Sparse event support: fewer than 10 events or non-events. |
| 1 | 5 | 0.002055007565 (0.206%) | [0.0004597132977, 0.009135683987] | 1,697 / 3 | Estimated. Domain n = 1,697; event n = 3. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.03870953462 (3.871%) | [0.00843029094, 0.160175429] | 87 / 3 | Estimated. Domain n = 87; event n = 3. Low domain precision: the estimation domain contains 50-99 responses. Sparse event support: fewer than 10 events or non-events. |
| 1 | 6 | 0.0005832332356 (0.058%) | [0.00008183533059, 0.004143920948] | 1,697 / 1 | Estimated. Domain n = 1,697; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.010986182 (1.099%) | [0.001456073791, 0.07801804626] | 87 / 1 | Estimated. Domain n = 87; event n = 1. Low domain precision: the estimation domain contains 50-99 responses. Sparse event support: fewer than 10 events or non-events. |
| 1 | 7 | 0.002085332046 (0.209%) | [0.0006369986858, 0.006804295801] | 1,697 / 3 | Estimated. Domain n = 1,697; event n = 3. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.0392807474 (3.928%) | [0.01176200856, 0.12315931] | 87 / 3 | Estimated. Domain n = 87; event n = 3. Low domain precision: the estimation domain contains 50-99 responses. Sparse event support: fewer than 10 events or non-events. |
| 1 | 8 | 0.0006044597142 (0.060%) | [0.00008425421818, 0.004322652162] | 1,697 / 1 | Estimated. Domain n = 1,697; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.01138601854 (1.139%) | [0.001500013818, 0.08113269106] | 87 / 1 | Estimated. Domain n = 87; event n = 1. Low domain precision: the estimation domain contains 50-99 responses. Sparse event support: fewer than 10 events or non-events. |
| 1 | 9 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | 0 (0.000%) | Unavailable | 87 / 0 | Sample boundary. Domain n = 87; event n = 0. Low domain precision: the estimation domain contains 50-99 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. |
| 1 | 10 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | 0 (0.000%) | Unavailable | 87 / 0 | Sample boundary. Domain n = 87; event n = 0. Low domain precision: the estimation domain contains 50-99 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. |
| 2 | 0 | 0.01422265795 (1.422%) | [0.009617976133, 0.02098515581] | 1,697 / 27 | Estimated. Domain n = 1,697; event n = 27. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1187020301 (11.870%) | [0.0803418704, 0.1719531509] | 213 / 27 | Estimated. Domain n = 213; event n = 27. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 2 | 1 | 0.007490645768 (0.749%) | [0.004222651967, 0.01325414049] | 1,697 / 13 | Estimated. Domain n = 1,697; event n = 13. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.06251678571 (6.252%) | [0.03549073151, 0.1078224124] | 213 / 13 | Estimated. Domain n = 213; event n = 13. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 2 | 2 | 0.0254486303 (2.545%) | [0.01856159385, 0.03480040261] | 1,697 / 47 | Estimated. Domain n = 1,697; event n = 47. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.2123937797 (21.239%) | [0.159193601, 0.2775048833] | 213 / 47 | Estimated. Domain n = 213; event n = 47. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 2 | 3 | 0.03061612934 (3.062%) | [0.02369466391, 0.03947767458] | 1,697 / 54 | Estimated. Domain n = 1,697; event n = 54. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.2555216274 (25.552%) | [0.201415438, 0.3183679374] | 213 / 54 | Estimated. Domain n = 213; event n = 54. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 2 | 4 | 0.01453572858 (1.454%) | [0.009157294829, 0.0229997977] | 1,697 / 23 | Estimated. Domain n = 1,697; event n = 23. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1213149115 (12.131%) | [0.07698180598, 0.1860332906] | 213 / 23 | Estimated. Domain n = 213; event n = 23. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 2 | 5 | 0.01236601088 (1.237%) | [0.007944282598, 0.01920120553] | 1,697 / 22 | Estimated. Domain n = 1,697; event n = 22. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1032064893 (10.321%) | [0.06667181259, 0.1564063917] | 213 / 22 | Estimated. Domain n = 213; event n = 22. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 2 | 6 | 0.00439763733 (0.440%) | [0.001944651519, 0.009914086524] | 1,697 / 8 | Estimated. Domain n = 1,697; event n = 8. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.03670259669 (3.670%) | [0.01650889681, 0.07959809862] | 213 / 8 | Estimated. Domain n = 213; event n = 8. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 2 | 7 | 0.006554261489 (0.655%) | [0.003476020063, 0.01232477123] | 1,697 / 11 | Estimated. Domain n = 1,697; event n = 11. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.0547017405 (5.470%) | [0.02924058258, 0.100048228] | 213 / 11 | Estimated. Domain n = 213; event n = 11. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 2 | 8 | 0.001968808563 (0.197%) | [0.0007187817283, 0.005381039505] | 1,697 / 4 | Estimated. Domain n = 1,697; event n = 4. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.01643163846 (1.643%) | [0.005888725109, 0.04499576659] | 213 / 4 | Estimated. Domain n = 213; event n = 4. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 2 | 9 | 0.0008310119216 (0.083%) | [0.000205519273, 0.003353789617] | 1,697 / 2 | Estimated. Domain n = 1,697; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.006935609537 (0.694%) | [0.001720948444, 0.0275157359] | 213 / 2 | Estimated. Domain n = 213; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 2 | 10 | 0.001386630452 (0.139%) | [0.0003463951357, 0.005533432974] | 1,697 / 2 | Estimated. Domain n = 1,697; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.01157279112 (1.157%) | [0.002835269631, 0.04599494099] | 213 / 2 | Estimated. Domain n = 213; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 3 | 0 | 0.007176669897 (0.718%) | [0.003891647009, 0.01319791098] | 1,697 / 13 | Estimated. Domain n = 1,697; event n = 13. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.04122684125 (4.123%) | [0.02271023156, 0.07370225624] | 301 / 13 | Estimated. Domain n = 301; event n = 13. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 3 | 1 | 0.007270331445 (0.727%) | [0.003969730655, 0.0132786052] | 1,697 / 13 | Estimated. Domain n = 1,697; event n = 13. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.04176488603 (4.176%) | [0.02295156354, 0.07481853173] | 301 / 13 | Estimated. Domain n = 301; event n = 13. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 3 | 2 | 0.02668205027 (2.668%) | [0.01976712194, 0.03592729674] | 1,697 / 47 | Estimated. Domain n = 1,697; event n = 47. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1532767518 (15.328%) | [0.1147240921, 0.2018312258] | 301 / 47 | Estimated. Domain n = 301; event n = 47. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 3 | 3 | 0.04515786141 (4.516%) | [0.03528843045, 0.057622692] | 1,697 / 75 | Estimated. Domain n = 1,697; event n = 75. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.2594122358 (25.941%) | [0.2057469663, 0.3214106835] | 301 / 75 | Estimated. Domain n = 301; event n = 75. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 3 | 4 | 0.02440679829 (2.441%) | [0.01772789817, 0.03351608514] | 1,697 / 40 | Estimated. Domain n = 1,697; event n = 40. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1402064207 (14.021%) | [0.1028800452, 0.1882338473] | 301 / 40 | Estimated. Domain n = 301; event n = 40. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 3 | 5 | 0.02746397086 (2.746%) | [0.02101656569, 0.03581692978] | 1,697 / 50 | Estimated. Domain n = 1,697; event n = 50. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1577685449 (15.777%) | [0.1209542992, 0.2031976484] | 301 / 50 | Estimated. Domain n = 301; event n = 50. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 3 | 6 | 0.01419282894 (1.419%) | [0.009397217401, 0.02138292195] | 1,697 / 25 | Estimated. Domain n = 1,697; event n = 25. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.08153161758 (8.153%) | [0.05401798142, 0.1212627132] | 301 / 25 | Estimated. Domain n = 301; event n = 25. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 3 | 7 | 0.0131311359 (1.313%) | [0.008636677646, 0.01991748398] | 1,697 / 22 | Estimated. Domain n = 1,697; event n = 22. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.07543265371 (7.543%) | [0.04926117837, 0.1138435675] | 301 / 22 | Estimated. Domain n = 301; event n = 22. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 3 | 8 | 0.005774631769 (0.577%) | [0.003154712841, 0.01054731386] | 1,697 / 11 | Estimated. Domain n = 1,697; event n = 11. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.03317274315 (3.317%) | [0.01770745785, 0.06130211658] | 301 / 11 | Estimated. Domain n = 301; event n = 11. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 3 | 9 | 0.000880786964 (0.088%) | [0.0002118562821, 0.003654129182] | 1,697 / 2 | Estimated. Domain n = 1,697; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.005059737296 (0.506%) | [0.001205236248, 0.02098246312] | 301 / 2 | Estimated. Domain n = 301; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 3 | 10 | 0.001940541949 (0.194%) | [0.0006047908418, 0.006208129087] | 1,697 / 3 | Estimated. Domain n = 1,697; event n = 3. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.01114756789 (1.115%) | [0.003484642855, 0.0350686789] | 301 / 3 | Estimated. Domain n = 301; event n = 3. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 4 | 0 | 0.004281330028 (0.428%) | [0.001978422559, 0.009240031237] | 1,697 / 7 | Estimated. Domain n = 1,697; event n = 7. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.02668702533 (2.669%) | [0.01229201121, 0.05696755299] | 277 / 7 | Estimated. Domain n = 277; event n = 7. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 4 | 1 | 0.004807976345 (0.481%) | [0.002581316824, 0.00893815364] | 1,697 / 10 | Estimated. Domain n = 1,697; event n = 10. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.02996979575 (2.997%) | [0.01586139104, 0.05591437011] | 277 / 10 | Estimated. Domain n = 277; event n = 10. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 4 | 2 | 0.01456374589 (1.456%) | [0.00945505733, 0.02237038615] | 1,697 / 24 | Estimated. Domain n = 1,697; event n = 24. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.09078091458 (9.078%) | [0.05964450662, 0.1358238164] | 277 / 24 | Estimated. Domain n = 277; event n = 24. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 4 | 3 | 0.01923283052 (1.923%) | [0.01321215348, 0.02791945917] | 1,697 / 31 | Estimated. Domain n = 1,697; event n = 31. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1198849498 (11.988%) | [0.08267733966, 0.1707209303] | 277 / 31 | Estimated. Domain n = 277; event n = 31. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 4 | 4 | 0.03273926647 (3.274%) | [0.02557656196, 0.04182179033] | 1,697 / 59 | Estimated. Domain n = 1,697; event n = 59. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.2040752822 (20.408%) | [0.1616752296, 0.2542229064] | 277 / 59 | Estimated. Domain n = 277; event n = 59. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 4 | 5 | 0.04216947766 (4.217%) | [0.03327200819, 0.05331505353] | 1,697 / 74 | Estimated. Domain n = 1,697; event n = 74. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.262857082 (26.286%) | [0.2123032775, 0.3205500157] | 277 / 74 | Estimated. Domain n = 277; event n = 74. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 4 | 6 | 0.01870405267 (1.870%) | [0.01304505298, 0.02675141059] | 1,697 / 32 | Estimated. Domain n = 1,697; event n = 32. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1165888928 (11.659%) | [0.08197955352, 0.1632116248] | 277 / 32 | Estimated. Domain n = 277; event n = 32. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 4 | 7 | 0.01719953425 (1.720%) | [0.01202857838, 0.02453821714] | 1,697 / 29 | Estimated. Domain n = 1,697; event n = 29. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.107210704 (10.721%) | [0.07500675753, 0.1509844316] | 277 / 29 | Estimated. Domain n = 277; event n = 29. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 4 | 8 | 0.005375236517 (0.538%) | [0.002676885043, 0.01076422088] | 1,697 / 9 | Estimated. Domain n = 1,697; event n = 9. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.03350572652 (3.351%) | [0.01651886893, 0.06677467014] | 277 / 9 | Estimated. Domain n = 277; event n = 9. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 4 | 9 | 0.001353947417 (0.135%) | [0.0002921421583, 0.006250806835] | 1,697 / 2 | Estimated. Domain n = 1,697; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.008439627122 (0.844%) | [0.0018004389, 0.03861401556] | 277 / 2 | Estimated. Domain n = 277; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 4 | 10 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | 0 (0.000%) | Unavailable | 277 / 0 | Sample boundary. Domain n = 277; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. |
| 5 | 0 | 0.008419582837 (0.842%) | [0.004348183768, 0.01624103009] | 1,697 / 12 | Estimated. Domain n = 1,697; event n = 12. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.04913831298 (4.914%) | [0.02203966415, 0.1059462708] | 284 / 12 | Estimated. Domain n = 284; event n = 12. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 5 | 1 | 0.00204072411 (0.204%) | [0.0007547043971, 0.005506052256] | 1,697 / 4 | Estimated. Domain n = 1,697; event n = 4. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.01191006039 (1.191%) | [0.004377762812, 0.03198593139] | 284 / 4 | Estimated. Domain n = 284; event n = 4. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 5 | 2 | 0.007229312107 (0.723%) | [0.0037049035, 0.01405911637] | 1,697 / 10 | Estimated. Domain n = 1,697; event n = 10. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.04219166291 (4.219%) | [0.0214961222, 0.08115937207] | 284 / 10 | Estimated. Domain n = 284; event n = 10. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 5 | 3 | 0.01852762015 (1.853%) | [0.01293844619, 0.02646647696] | 1,697 / 31 | Estimated. Domain n = 1,697; event n = 31. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1081307726 (10.813%) | [0.07573280928, 0.1521074669] | 284 / 31 | Estimated. Domain n = 284; event n = 31. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 5 | 4 | 0.01840994953 (1.841%) | [0.0127420178, 0.02653134808] | 1,697 / 32 | Estimated. Domain n = 1,697; event n = 32. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1074440242 (10.744%) | [0.0743175081, 0.152897529] | 284 / 32 | Estimated. Domain n = 284; event n = 32. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 5 | 5 | 0.04421287715 (4.421%) | [0.03331442365, 0.05846102704] | 1,697 / 71 | Estimated. Domain n = 1,697; event n = 71. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.2580348976 (25.803%) | [0.2001825516, 0.3257960827] | 284 / 71 | Estimated. Domain n = 284; event n = 71. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 5 | 6 | 0.02777913442 (2.778%) | [0.02064307214, 0.03728812467] | 1,697 / 49 | Estimated. Domain n = 1,697; event n = 49. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1621243983 (16.212%) | [0.1208034629, 0.2141367594] | 284 / 49 | Estimated. Domain n = 284; event n = 49. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 5 | 7 | 0.02408573706 (2.409%) | [0.0174334806, 0.03319061263] | 1,697 / 42 | Estimated. Domain n = 1,697; event n = 42. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1405690174 (14.057%) | [0.1016277082, 0.1912550832] | 284 / 42 | Estimated. Domain n = 284; event n = 42. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 5 | 8 | 0.01647173596 (1.647%) | [0.01051082559, 0.02572531431] | 1,697 / 27 | Estimated. Domain n = 1,697; event n = 27. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.0961322351 (9.613%) | [0.06287047892, 0.1442818998] | 284 / 27 | Estimated. Domain n = 284; event n = 27. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 5 | 9 | 0.001908525769 (0.191%) | [0.0005383962041, 0.00674188919] | 1,697 / 3 | Estimated. Domain n = 1,697; event n = 3. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.01113852532 (1.114%) | [0.00206162909, 0.05786184255] | 284 / 3 | Estimated. Domain n = 284; event n = 3. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 5 | 10 | 0.0022593654 (0.226%) | [0.0007014133851, 0.00725266439] | 1,697 / 3 | Estimated. Domain n = 1,697; event n = 3. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.01318609322 (1.319%) | [0.004054069416, 0.04202062434] | 284 / 3 | Estimated. Domain n = 284; event n = 3. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 6 | 0 | 0.002171017121 (0.217%) | [0.0007859514403, 0.005982341282] | 1,697 / 4 | Estimated. Domain n = 1,697; event n = 4. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.02232502734 (2.233%) | [0.008038230609, 0.06045694043] | 171 / 4 | Estimated. Domain n = 171; event n = 4. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 6 | 1 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | 0 (0.000%) | Unavailable | 171 / 0 | Sample boundary. Domain n = 171; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. |
| 6 | 2 | 0.002547681407 (0.255%) | [0.0009507664137, 0.006808508696] | 1,697 / 4 | Estimated. Domain n = 1,697; event n = 4. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.02619834571 (2.620%) | [0.009602668107, 0.0694636511] | 171 / 4 | Estimated. Domain n = 171; event n = 4. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 6 | 3 | 0.009973707116 (0.997%) | [0.005487112219, 0.0180621865] | 1,697 / 15 | Estimated. Domain n = 1,697; event n = 15. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1025617357 (10.256%) | [0.05738512962, 0.1766390578] | 171 / 15 | Estimated. Domain n = 171; event n = 15. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 6 | 4 | 0.008832680892 (0.883%) | [0.005220848289, 0.01490577318] | 1,697 / 16 | Estimated. Domain n = 1,697; event n = 16. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.09082832213 (9.083%) | [0.05314121595, 0.1509808888] | 171 / 16 | Estimated. Domain n = 171; event n = 16. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 6 | 5 | 0.01460501088 (1.461%) | [0.009906444335, 0.02148372354] | 1,697 / 27 | Estimated. Domain n = 1,697; event n = 27. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1501864099 (15.019%) | [0.1034887888, 0.2129503965] | 171 / 27 | Estimated. Domain n = 171; event n = 27. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 6 | 6 | 0.01711851808 (1.712%) | [0.01163620127, 0.02511814813] | 1,697 / 30 | Estimated. Domain n = 1,697; event n = 30. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.176033335 (17.603%) | [0.1207428409, 0.2494591371] | 171 / 30 | Estimated. Domain n = 171; event n = 30. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 6 | 7 | 0.02426645865 (2.427%) | [0.01737691442, 0.03379360649] | 1,697 / 45 | Estimated. Domain n = 1,697; event n = 45. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.2495371168 (24.954%) | [0.1842460206, 0.3286440619] | 171 / 45 | Estimated. Domain n = 171; event n = 45. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 6 | 8 | 0.01217880586 (1.218%) | [0.007742520795, 0.01910803004] | 1,697 / 21 | Estimated. Domain n = 1,697; event n = 21. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1252372316 (12.524%) | [0.08016763906, 0.1903998165] | 171 / 21 | Estimated. Domain n = 171; event n = 21. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 6 | 9 | 0.00494117502 (0.494%) | [0.002429468488, 0.01002351816] | 1,697 / 8 | Estimated. Domain n = 1,697; event n = 8. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.05081114578 (5.081%) | [0.0251112511, 0.1001123624] | 171 / 8 | Estimated. Domain n = 171; event n = 8. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 6 | 10 | 0.0006108335263 (0.061%) | [0.00008570028093, 0.004339784303] | 1,697 / 1 | Estimated. Domain n = 1,697; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.006281330093 (0.628%) | [0.0008667119877, 0.04403199057] | 171 / 1 | Estimated. Domain n = 171; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 7 | 0 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | 0 (0.000%) | Unavailable | 120 / 0 | Sample boundary. Domain n = 120; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. |
| 7 | 1 | 0.0009038889161 (0.090%) | [0.0002216572574, 0.003678213899] | 1,697 / 2 | Estimated. Domain n = 1,697; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.01265538319 (1.266%) | [0.003046886755, 0.05101421433] | 120 / 2 | Estimated. Domain n = 120; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 7 | 2 | 0.0008299062227 (0.083%) | [0.0002057137487, 0.003341741028] | 1,697 / 2 | Estimated. Domain n = 1,697; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.01161954868 (1.162%) | [0.002548849612, 0.05130999518] | 120 / 2 | Estimated. Domain n = 120; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 7 | 3 | 0.002083815093 (0.208%) | [0.000670685319, 0.006455167591] | 1,697 / 3 | Estimated. Domain n = 1,697; event n = 3. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.0291755746 (2.918%) | [0.009225706846, 0.08841569511] | 120 / 3 | Estimated. Domain n = 120; event n = 3. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 7 | 4 | 0.004901676284 (0.490%) | [0.002243061254, 0.01067772359] | 1,697 / 8 | Estimated. Domain n = 1,697; event n = 8. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.06862855661 (6.863%) | [0.03011262661, 0.1488481986] | 120 / 8 | Estimated. Domain n = 120; event n = 8. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 7 | 5 | 0.01145645088 (1.146%) | [0.006561548896, 0.01992968405] | 1,697 / 16 | Estimated. Domain n = 1,697; event n = 16. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1604022058 (16.040%) | [0.0932675013, 0.2619029563] | 120 / 16 | Estimated. Domain n = 120; event n = 16. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 7 | 6 | 0.01551125205 (1.551%) | [0.01074693037, 0.02233999224] | 1,697 / 29 | Estimated. Domain n = 1,697; event n = 29. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.2171736315 (21.717%) | [0.1506034049, 0.3026836045] | 120 / 29 | Estimated. Domain n = 120; event n = 29. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 7 | 7 | 0.01657789909 (1.658%) | [0.0113239937, 0.02420972826] | 1,697 / 30 | Estimated. Domain n = 1,697; event n = 30. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.2321077975 (23.211%) | [0.1622815758, 0.3204845674] | 120 / 30 | Estimated. Domain n = 120; event n = 30. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 7 | 8 | 0.01316760324 (1.317%) | [0.008472497437, 0.02041098174] | 1,697 / 22 | Estimated. Domain n = 1,697; event n = 22. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | 0.1843601153 (18.436%) | [0.1187303131, 0.2749493045] | 120 / 22 | Estimated. Domain n = 120; event n = 22. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. |
| 7 | 9 | 0.005078983171 (0.508%) | [0.002235559127, 0.01149730511] | 1,697 / 6 | Estimated. Domain n = 1,697; event n = 6. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.07111103711 (7.111%) | [0.03111126857, 0.15434598] | 120 / 6 | Estimated. Domain n = 120; event n = 6. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 7 | 10 | 0.0009118002233 (0.091%) | [0.0002258936217, 0.003672752416] | 1,697 / 2 | Estimated. Domain n = 1,697; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | 0.01276614971 (1.277%) | [0.003110691458, 0.05086263575] | 120 / 2 | Estimated. Domain n = 120; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. |
| 8 | 0 | 0.0006908981655 (0.069%) | [0.00009698270393, 0.004904073066] | 1,697 / 1 | Estimated. Domain n = 1,697; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 35 / 1 | Suppressed. Domain n = 35; event n = 1. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 8 | 1 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 35 / 0 | Suppressed. Domain n = 35; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 8 | 2 | 0.001579235579 (0.158%) | [0.0004664936296, 0.005332076639] | 1,697 / 3 | Estimated. Domain n = 1,697; event n = 3. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 35 / 3 | Suppressed. Domain n = 35; event n = 3. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 8 | 3 | 0.001902984454 (0.190%) | [0.0003882218981, 0.00927321243] | 1,697 / 2 | Estimated. Domain n = 1,697; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 35 / 2 | Suppressed. Domain n = 35; event n = 2. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 8 | 4 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 35 / 0 | Suppressed. Domain n = 35; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 8 | 5 | 0.001142214762 (0.114%) | [0.0002744398185, 0.004740870173] | 1,697 / 2 | Estimated. Domain n = 1,697; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 35 / 2 | Suppressed. Domain n = 35; event n = 2. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 8 | 6 | 0.001418623399 (0.142%) | [0.0003270428414, 0.006131258705] | 1,697 / 2 | Estimated. Domain n = 1,697; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 35 / 2 | Suppressed. Domain n = 35; event n = 2. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 8 | 7 | 0.005573830551 (0.557%) | [0.002778516099, 0.01114991605] | 1,697 / 10 | Estimated. Domain n = 1,697; event n = 10. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | Unavailable | Unavailable | 35 / 10 | Suppressed. Domain n = 35; event n = 10. The estimation domain contains fewer than 50 responses. Event support is not sparse under the reviewed rule. The estimation domain has fewer than 50 respondents. |
| 8 | 8 | 0.006746575635 (0.675%) | [0.003694919469, 0.01228752884] | 1,697 / 11 | Estimated. Domain n = 1,697; event n = 11. Domain support: at least 100 responses. Event support is not sparse under the reviewed rule. | Unavailable | Unavailable | 35 / 11 | Suppressed. Domain n = 35; event n = 11. The estimation domain contains fewer than 50 responses. Event support is not sparse under the reviewed rule. The estimation domain has fewer than 50 respondents. |
| 8 | 9 | 0.001402891521 (0.140%) | [0.0003092136782, 0.006340335307] | 1,697 / 2 | Estimated. Domain n = 1,697; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 35 / 2 | Suppressed. Domain n = 35; event n = 2. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 8 | 10 | 0.001064470816 (0.106%) | [0.0002488319328, 0.004541523381] | 1,697 / 2 | Estimated. Domain n = 1,697; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 35 / 2 | Suppressed. Domain n = 35; event n = 2. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 9 | 0 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 7 / 0 | Suppressed. Domain n = 7; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 9 | 1 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 7 / 0 | Suppressed. Domain n = 7; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 9 | 2 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 7 / 0 | Suppressed. Domain n = 7; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 9 | 3 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 7 / 0 | Suppressed. Domain n = 7; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 9 | 4 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 7 / 0 | Suppressed. Domain n = 7; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 9 | 5 | 0.0008301186147 (0.083%) | [0.0001153968892, 0.005945217331] | 1,697 / 1 | Estimated. Domain n = 1,697; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 7 / 1 | Suppressed. Domain n = 7; event n = 1. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 9 | 6 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 7 / 0 | Suppressed. Domain n = 7; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 9 | 7 | 0.0009350104079 (0.094%) | [0.000232456721, 0.003752920782] | 1,697 / 2 | Estimated. Domain n = 1,697; event n = 2. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 7 / 2 | Suppressed. Domain n = 7; event n = 2. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 9 | 8 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 7 / 0 | Suppressed. Domain n = 7; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 9 | 9 | 0.0004548433582 (0.045%) | [0.00006358670659, 0.003245734795] | 1,697 / 1 | Estimated. Domain n = 1,697; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 7 / 1 | Suppressed. Domain n = 7; event n = 1. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 9 | 10 | 0.001282763963 (0.128%) | [0.0004081153785, 0.004024360601] | 1,697 / 3 | Estimated. Domain n = 1,697; event n = 3. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 7 / 3 | Suppressed. Domain n = 7; event n = 3. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 10 | 0 | 0.0004485230249 (0.045%) | [0.00006233670378, 0.003219495203] | 1,697 / 1 | Estimated. Domain n = 1,697; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 5 / 1 | Suppressed. Domain n = 5; event n = 1. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 10 | 1 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 5 / 0 | Suppressed. Domain n = 5; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 10 | 2 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 5 / 0 | Suppressed. Domain n = 5; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 10 | 3 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 5 / 0 | Suppressed. Domain n = 5; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 10 | 4 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 5 / 0 | Suppressed. Domain n = 5; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 10 | 5 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 5 / 0 | Suppressed. Domain n = 5; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 10 | 6 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 5 / 0 | Suppressed. Domain n = 5; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 10 | 7 | 0.0003832324987 (0.038%) | [0.00005354537479, 0.002737297218] | 1,697 / 1 | Estimated. Domain n = 1,697; event n = 1. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 5 / 1 | Suppressed. Domain n = 5; event n = 1. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 10 | 8 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 5 / 0 | Suppressed. Domain n = 5; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 10 | 9 | 0 (0.000%) | Unavailable | 1,697 / 0 | Sample boundary. Domain n = 1,697; event n = 0. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. Observed sample boundary; no population interval is estimable. | Unavailable | Unavailable | 5 / 0 | Suppressed. Domain n = 5; event n = 0. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
| 10 | 10 | 0.002937102455 (0.294%) | [0.0009137197578, 0.009399003704] | 1,697 / 3 | Estimated. Domain n = 1,697; event n = 3. Domain support: at least 100 responses. Sparse event support: fewer than 10 events or non-events. | Unavailable | Unavailable | 5 / 3 | Suppressed. Domain n = 5; event n = 3. The estimation domain contains fewer than 50 responses. Sparse event support: fewer than 10 events or non-events. The estimation domain has fewer than 50 respondents. |
Source: European Social Survey, ESS Round 11 (2023/24). ESS analysis weights; survey-design 95% pointwise intervals, not simultaneous bands. Marginal and joint denominators use all matched pairs; conditional denominators use paired responses at the same economic score. Sources, design and limitations.
For France, the observed, survey-weighted democratic-satisfaction mean at economic score 2 is 3.17, with a 95% interval from 2.85 to 3.49, based on 213 paired responses. At score 5, it is 5.10, with an interval from 4.78 to 5.42, based on 284 responses. At score 8 there are only 35 responses, so the public observed mean is suppressed. The gap marks insufficient support for displaying that mean; it is not a zero.
The distributions show how much variation a single curve must summarize. Now the model has to earn its place: does a simple straight line describe the association adequately, or does its convenience hide a meaningful difference?
A straight-line model makes a stronger claim than a general positive association. It requires every additional economic-rating point to correspond to the same fitted difference in democratic satisfaction. Two equal three-score intervals must therefore yield equal differences. Its upper-minus-lower contrast is exactly zero by construction, not because the survey has discovered zero curvature with perfect certainty.
Evidence 01
One slope hides the bend in the satisfaction curve
France / Round 11 / 2023/24. Observed score means, the country-linear reference, and your selected model. The primary claim refers to Round 11.
- Observed means / FranceHollow circles; diamonds flag low precision
- One slope within countriesFrance / model n = 47,836
- Flexible curve within countriesFrance / model n = 47,836
Both response scales run from 0 to 10. Shading shows 95% pointwise intervals, not a simultaneous confidence band.
Counts are unweighted paired responses at each score. x / hatched: below 50, observed mean and interval suppressed. * / diamond: 50-99, low precision. Fitted values are not observed means for those sparse cells.
Inspect response scores with the arrow keys or Home/End. Enter/Space or a tap pins; Escape dismisses. Moving the pointer only inspects. Only an explicit Follow action changes the selected evidence.
The country-linear and country-flexible fits use exactly the same paired sample in each wave. Other model choices change declared sample or adjustment conditions. Straight segments join eleven actual score predictions; fixed spline knots are 0, 3, 7 and 10. No outcome-selected knot or sharp threshold is estimated.
Exact response-score means, intervals and support
| Economic score / series | Scope | Estimate | SE | 95% lower | 95% upper | n | Support / sample |
|---|---|---|---|---|---|---|---|
| 0 / observed mean | France | 1.83919818 | 0.1788536373 | 1.484679243 | 2.193717117 | 197 | At least 100 paired responses. |
| 0 / One slope within countries | France | 1.95907091 | 0.06761001808 | 1.826550629 | 2.091591191 | 47,836 | Fitted model sample; not a score-cell count. |
| 0 / Flexible curve within countries | France | 1.762064429 | 0.08200868514 | 1.601321771 | 1.922807087 | 47,836 | Fitted model sample; not a score-cell count. |
| 1 / observed mean | France | 2.260661461 | 0.1988658941 | 1.860594885 | 2.660728037 | 87 | Low precision: 50-99 paired responses. |
| 1 / One slope within countries | France | 2.580983251 | 0.0635416311 | 2.456437289 | 2.705529214 | 47,836 | Fitted model sample; not a score-cell count. |
| 1 / Flexible curve within countries | France | 2.473621899 | 0.06617903408 | 2.343906445 | 2.603337353 | 47,836 | Fitted model sample; not a score-cell count. |
| 2 / observed mean | France | 3.167890588 | 0.162842014 | 2.845361461 | 3.490419716 | 213 | At least 100 paired responses. |
| 2 / One slope within countries | France | 3.202895592 | 0.06065187741 | 3.084013745 | 3.321777439 | 47,836 | Fitted model sample; not a score-cell count. |
| 2 / Flexible curve within countries | France | 3.177929374 | 0.06200767714 | 3.056390066 | 3.299468682 | 47,836 | Fitted model sample; not a score-cell count. |
| 3 / observed mean | France | 3.915837045 | 0.1263880854 | 3.666256498 | 4.165417593 | 301 | At least 100 paired responses. |
| 3 / One slope within countries | France | 3.824807933 | 0.0591138613 | 3.708940704 | 3.940675163 | 47,836 | Fitted model sample; not a score-cell count. |
| 3 / Flexible curve within countries | France | 3.867736858 | 0.06283252287 | 3.744580796 | 3.990892921 | 47,836 | Fitted model sample; not a score-cell count. |
| 4 / observed mean | France | 4.495783754 | 0.1210934706 | 4.256314056 | 4.735253451 | 277 | At least 100 paired responses. |
| 4 / One slope within countries | France | 4.446720274 | 0.05903332937 | 4.331010893 | 4.562429656 | 47,836 | Fitted model sample; not a score-cell count. |
| 4 / Flexible curve within countries | France | 4.534801421 | 0.06141753098 | 4.41441884 | 4.655184002 | 47,836 | Fitted model sample; not a score-cell count. |
| 5 / observed mean | France | 5.098531341 | 0.1619204005 | 4.778464549 | 5.418598133 | 284 | At least 100 paired responses. |
| 5 / One slope within countries | France | 5.068632615 | 0.06041611018 | 4.950212888 | 5.187052342 | 47,836 | Fitted model sample; not a score-cell count. |
| 5 / Flexible curve within countries | France | 5.166908389 | 0.06120414505 | 5.046944059 | 5.286872719 | 47,836 | Fitted model sample; not a score-cell count. |
| 6 / observed mean | France | 5.79929853 | 0.1735062738 | 5.454845026 | 6.143752034 | 171 | At least 100 paired responses. |
| 6 / One slope within countries | France | 5.690544956 | 0.06316617588 | 5.566734912 | 5.814355001 | 47,836 | Fitted model sample; not a score-cell count. |
| 6 / Flexible curve within countries | France | 5.750850153 | 0.0647913473 | 5.62385466 | 5.877845646 | 47,836 | Fitted model sample; not a score-cell count. |
| 7 / observed mean | France | 6.370284585 | 0.1670744608 | 6.037526957 | 6.703042212 | 120 | At least 100 paired responses. |
| 7 / One slope within countries | France | 6.312457297 | 0.06711566281 | 6.180905987 | 6.444008608 | 47,836 | Fitted model sample; not a score-cell count. |
| 7 / Flexible curve within countries | France | 6.273419104 | 0.06946366133 | 6.137265554 | 6.409572653 | 47,836 | Fitted model sample; not a score-cell count. |
| 8 / observed mean | France | Unavailable | Unavailable | Unavailable | Unavailable | 35 | Suppressed: fewer than 50 paired responses. |
| 8 / One slope within countries | France | 6.934369638 | 0.0720676462 | 6.7931121 | 7.075627176 | 47,836 | Fitted model sample; not a score-cell count. |
| 8 / Flexible curve within countries | France | 6.727752257 | 0.07904762246 | 6.572813485 | 6.882691029 | 47,836 | Fitted model sample; not a score-cell count. |
| 9 / observed mean | France | Unavailable | Unavailable | Unavailable | Unavailable | 7 | Suppressed: fewer than 50 paired responses. |
| 9 / One slope within countries | France | 7.556281979 | 0.07783100974 | 7.403727853 | 7.708836106 | 47,836 | Fitted model sample; not a score-cell count. |
| 9 / Flexible curve within countries | France | 7.13236513 | 0.1054859668 | 6.925605386 | 7.339124873 | 47,836 | Fitted model sample; not a score-cell count. |
| 10 / observed mean | France | Unavailable | Unavailable | Unavailable | Unavailable | 5 | Suppressed: fewer than 50 paired responses. |
| 10 / One slope within countries | France | 8.17819432 | 0.08423938235 | 8.013079343 | 8.343309298 | 47,836 | Fitted model sample; not a score-cell count. |
| 10 / Flexible curve within countries | France | 7.512117861 | 0.1473891155 | 7.223225067 | 7.801010656 | 47,836 | Fitted model sample; not a score-cell count. |
Source: European Social Survey. ESS11, edition 4.2 (10.21338/ess11e04_2). ESS analysis weights; survey-design 95% pointwise intervals, not simultaneous bands. Sources, design and limitations.
The bend remains with country-specific starting levels
The first challenge is geography. A pooled curve can reflect country composition as well as associations within countries. The pooled spline gives an upper-minus-lower contrast of -0.46 points, with a 95% interval from -0.58 to -0.33. Allowing each country its own intercept retains a negative contrast. This model permits different starting levels, but assumes a common slope and curvature across countries; it does not estimate a separate national relationship.
The prespecified comparison makes the curvature readable. In the country-adjusted model, the fitted difference from economic scores 2 to 5 is 1.99 democratic-satisfaction points, with a 95% interval from 1.92 to 2.06. From 5 to 8, it is 1.56 points, with an interval from 1.46 to 1.66. Upper minus lower is -0.43 points, with an interval from -0.55 to -0.30. Each comparison spans three rating scores, not three years or an improvement in one person's circumstances.
For France, the fitted democratic-satisfaction levels at economic scores 2, 5 and 8 are 3.18, 5.17 and 6.73. The last number is a model prediction despite the suppressed observed mean. Selecting France retains its intercept, not a France-only gradient. Fitted levels standardize the remaining nuisance predictors at their analysis-weighted means.
Evidence 02
The lower three-score step is associated with a larger difference
Round 11 / 2023/24 / Flexible curve within countries. The Round 11 country-flexible result is 1.989 versus 1.561 points; the selected specification is shown below.
Model n = 47,836 / 30 included countries. Differences are in democratic-satisfaction rating points; all three panels share one scale.
Lower step: 2 to 5
m(5) - m(2)
+1.989rating pointsEstimate 1.988979015
95% CI [1.919857298, 2.058100732]
Upper step: 5 to 8
m(8) - m(5)
+1.561rating pointsEstimate 1.560843868
95% CI [1.45771918, 1.663968557]
Upper minus lower
[m(8) - m(5)] - [m(5) - m(2)]
-0.428rating pointsEstimate -0.4281351466
95% CI [-0.5518883813, -0.3043819119]
Inspect the three contrasts with the arrow keys or Home/End. Enter/Space or a tap pins; Escape dismisses. Moving the pointer only inspects. Only an explicit Follow action changes the selected evidence.
One contrast, with its own uncertainty
C = m(8) - 2m(5) + m(2). Its interval retains the covariance between both steps. Overlap between their separate intervals is not a test of their difference.
The whole-shape test is separate: F(2, 22652) = 24.157, p = 3.310e-11.
Exact step contrasts and covariance-aware difference
| Contrast | Estimate | SE | 95% lower | 95% upper | Model n | Interpretation |
|---|---|---|---|---|---|---|
| Lower step: 2 to 5 / m(5) - m(2) | 1.988979015 | 0.03526494574 | 1.919857298 | 2.058100732 | 47,836 | Estimated from the full model covariance. |
| Upper step: 5 to 8 / m(8) - m(5) | 1.560843868 | 0.05261279228 | 1.45771918 | 1.663968557 | 47,836 | Estimated from the full model covariance. |
| Upper minus lower / [m(8) - m(5)] - [m(5) - m(2)] | -0.4281351466 | 0.0631371919 | -0.5518883813 | -0.3043819119 | 47,836 | Estimated from the full model covariance. |
Source: European Social Survey. ESS11, edition 4.2 (10.21338/ess11e04_2). ESS analysis weights; survey-design 95% pointwise intervals, not simultaneous bands. Sources, design and limitations.
The flexible model uses a smooth restricted cubic spline, with knots fixed at 0, 3, 7 and 10 before examining results. The joint test of its two nonlinear terms also rejects the straight-line restriction in Round 11 (p = 3.31e-11). But the knots are modeling choices, not discovered political fault lines. The smooth model tests neither a sharp threshold's location nor its nonexistence.
Adjustment must keep the respondents fixed
Country-specific starting levels address one source of difference, but people in the same country can face very different circumstances. Household financial difficulty is also a different question from satisfaction with the national economy. The further-adjusted model adds financial-difficulty categories, age and age squared, the source's binary gender coding, recorded education years and self-reported unemployment as main activity. That last measure is not an ILO unemployment rate.
Adding these fields reduces the Round 11 sample from 47,836 to 46,091 respondents. A fair comparison therefore first refits the country spline on those same complete cases. Its contrast is -0.43 points, with a 95% interval from -0.55 to -0.30. With the additional covariates, the contrast is -0.38, with an interval from -0.51 to -0.25. The negative equal-step contrast remains under this specification.
Evidence 03
Compare adjustment on the same complete-case sample
France / Round 11 / 2023/24. These are always the complete-case country baseline and the additionally adjusted model, regardless of the model selected elsewhere.
- Same complete-case sampleFrance / model n = 46,091
- Financial and demographic adjustmentFrance / model n = 46,091
Flexible country curve, restricted to the same complete cases as the adjusted model.
Age, age squared, source gender coding, fractional years of education, financial-strain categories and main-activity unemployment.
Both response scales run from 0 to 10. Shading shows 95% pointwise intervals, not a simultaneous confidence band.
Inspect response scores with the arrow keys or Home/End. Enter/Space or a tap pins; Escape dismisses. Moving the pointer only inspects. Only an explicit Follow action changes the selected evidence.
Common score axes and pointwise bands, not an "explained share." The models are correlated; no independent difference test or causal decomposition is implied. Country effects remain different intercepts on one shared curve.
Exact response-score means, intervals and support
| Economic score / series | Scope | Estimate | SE | 95% lower | 95% upper | n | Support / sample |
|---|---|---|---|---|---|---|---|
| 0 / Same complete-case sample | France | 1.761371966 | 0.0828299469 | 1.599019374 | 1.923724558 | 46,091 | Fitted model sample; not a score-cell count. |
| 0 / Financial and demographic adjustment | France | 1.811331236 | 0.0819830814 | 1.650638558 | 1.972023915 | 46,091 | Fitted model sample; not a score-cell count. |
| 1 / Same complete-case sample | France | 2.475371968 | 0.06622061035 | 2.345574858 | 2.605169078 | 46,091 | Fitted model sample; not a score-cell count. |
| 1 / Financial and demographic adjustment | France | 2.50642258 | 0.06530814939 | 2.378413955 | 2.634431204 | 46,091 | Fitted model sample; not a score-cell count. |
| 2 / Same complete-case sample | France | 3.181645855 | 0.06186724628 | 3.060381648 | 3.302910061 | 46,091 | Fitted model sample; not a score-cell count. |
| 2 / Financial and demographic adjustment | France | 3.193914397 | 0.06090859895 | 3.074529205 | 3.313299589 | 46,091 | Fitted model sample; not a score-cell count. |
| 3 / Same complete-case sample | France | 3.87246751 | 0.06282322544 | 3.749329517 | 3.995605504 | 46,091 | Fitted model sample; not a score-cell count. |
| 3 / Financial and demographic adjustment | France | 3.866207165 | 0.06197184546 | 3.744737934 | 3.987676396 | 46,091 | Fitted model sample; not a score-cell count. |
| 4 / Same complete-case sample | France | 4.539316127 | 0.06138748567 | 4.418992285 | 4.659639968 | 46,091 | Fitted model sample; not a score-cell count. |
| 4 / Financial and demographic adjustment | France | 4.515304535 | 0.06078144995 | 4.396168564 | 4.634440506 | 46,091 | Fitted model sample; not a score-cell count. |
| 5 / Same complete-case sample | France | 5.170492123 | 0.06116844237 | 5.050597622 | 5.290386624 | 46,091 | Fitted model sample; not a score-cell count. |
| 5 / Financial and demographic adjustment | France | 5.131622877 | 0.0607562824 | 5.012536236 | 5.250709517 | 46,091 | Fitted model sample; not a score-cell count. |
| 6 / Same complete-case sample | France | 5.753501227 | 0.06497976901 | 5.626136255 | 5.8808662 | 46,091 | Fitted model sample; not a score-cell count. |
| 6 / Financial and demographic adjustment | France | 5.705181736 | 0.06459326543 | 5.578574335 | 5.831789136 | 46,091 | Fitted model sample; not a score-cell count. |
| 7 / Same complete-case sample | France | 6.275849166 | 0.06995347838 | 6.138735369 | 6.412962963 | 46,091 | Fitted model sample; not a score-cell count. |
| 7 / Financial and demographic adjustment | France | 6.226000659 | 0.06971102277 | 6.08936209 | 6.362639229 | 46,091 | Fitted model sample; not a score-cell count. |
| 8 / Same complete-case sample | France | 6.731188237 | 0.07981210596 | 6.574750828 | 6.887625646 | 46,091 | Fitted model sample; not a score-cell count. |
| 8 / Financial and demographic adjustment | France | 6.689247068 | 0.08025231836 | 6.531946809 | 6.846547328 | 46,091 | Fitted model sample; not a score-cell count. |
| 9 / Same complete-case sample | France | 7.137757015 | 0.1066965599 | 6.928624163 | 7.346889867 | 46,091 | Fitted model sample; not a score-cell count. |
| 9 / Financial and demographic adjustment | France | 7.110679885 | 0.1080362502 | 6.89892114 | 7.32243863 | 46,091 | Fitted model sample; not a score-cell count. |
| 10 / Same complete-case sample | France | 7.519940647 | 0.1492417985 | 7.227416099 | 7.812465196 | 46,091 | Fitted model sample; not a score-cell count. |
| 10 / Financial and demographic adjustment | France | 7.511205905 | 0.1512549421 | 7.214735446 | 7.807676364 | 46,091 | Fitted model sample; not a score-cell count. |
Source: European Social Survey. ESS11, edition 4.2 (10.21338/ess11e04_2). ESS analysis weights; survey-design 95% pointwise intervals, not simultaneous bands. Sources, design and limitations.
The two estimates come from overlapping fitted models, not independent experiments. Their separate intervals do not test the difference between them, and the change cannot be read as a percentage of the relationship "explained" by household circumstances. Matching respondents removes one ambiguity, sample composition, while leaving the interpretation of adjustment unresolved.
A probability asks what the mean cannot
The average curve answers one question well, but it cannot tell us how much probability sits among the most dissatisfied responses. A lower mean can arise through different changes in the answer distribution. The exploratory probability layer estimates the chance of a democratic-performance rating at or below each cutoff from 0 to 9. It uses ten separately fitted, survey-weighted binary models on the same 46,091 complete Round 11 records, with the original country, economic-score and additional adjustment terms.
The selected reference population matters. Fitted probabilities average predictions over its actual weighted covariate distribution; they are not predictions for an invented person with average characteristics. The uncertainty conditions on that fixed empirical reference. Every displayed target must pass an ordering check across all cutoffs and all eleven economic scores. If separate models cross, the whole target CDF is unavailable rather than sorted into a more convenient picture. The cutoff does not define rejection of democracy.
For the complete-case all-country reference, the adjusted chance of a democratic-performance rating at or below 3 is 53.2% at economic score 2 (95% interval: 51.6% to 54.8%), 16.5% at score 5 (15.6% to 17.6%) and 7.0% at score 8 (6.1% to 7.9%). The first three-score comparison is therefore a 36.7-percentage-point decline; the second is a 9.6-point decline. Upper minus lower is positive here, 27.1 percentage points (24.7 to 29.4), because the second change is less negative. These are standardized associations, not movements observed in the same people.
Probability laboratory / pinned ESS Round 11 (2023/24)
Adjusted probabilities across registered scores and cutoffs
Ten complete-case adjusted binomial/logit threshold models, always Round 11. The models share one n = 46,091 fit sample across 30 countries; the displayed empirical reference n is a separate target quantity.
Use Arrow keys or Previous/Next to inspect registered values; Home/End moves to the first or last point. Enter/Space or a tap pins. Escape dismisses and restores focus. Pointer movement only inspects. Only an explicit Follow action changes the linked score or cutoff.
Registered cutoff 3 contrasts
Percentage-point differences use the full fitted covariance. Signed intervals are not clipped to 0–100.
Eleven actual registered score predictions are connected by straight segments at cutoff 3; no smoothing or KDE is applied. Pointwise interval bounds are never sorted or repaired across cutoffs. A low democratic-satisfaction rating is not a measure of rejecting democracy, and these adjusted associations are not causal.
Exact 110 standardized score-by-cutoff predictions
| Cutoff | Economic score | Estimate | Percentage | SE | 95% lower | 95% upper |
|---|---|---|---|---|---|---|
| 0 | 0 | 0.4766440723 | 47.664% | 0.02613140404 | 0.4258465996 | 0.5279293776 |
| 0 | 1 | 0.2372033841 | 23.720% | 0.01744629769 | 0.2047175021 | 0.2730742505 |
| 0 | 2 | 0.1046540349 | 10.465% | 0.009785376187 | 0.08696702522 | 0.125443942 |
| 0 | 3 | 0.05115294023 | 5.115% | 0.00539472959 | 0.0415553215 | 0.0628219324 |
| 0 | 4 | 0.03183071586 | 3.183% | 0.00357477384 | 0.02552253135 | 0.03963462564 |
| 0 | 5 | 0.02423078732 | 2.423% | 0.003142056886 | 0.01877860008 | 0.03121560538 |
| 0 | 6 | 0.02056361941 | 2.056% | 0.003002696861 | 0.01543332916 | 0.02735192485 |
| 0 | 7 | 0.01763559416 | 1.764% | 0.002651274926 | 0.01312527359 | 0.02365866815 |
| 0 | 8 | 0.0141324835 | 1.413% | 0.002793571024 | 0.009583830937 | 0.02079467813 |
| 0 | 9 | 0.01066201797 | 1.066% | 0.003646985399 | 0.005442692652 | 0.02078188308 |
| 0 | 10 | 0.007799642936 | 0.780% | 0.004214828745 | 0.002695772135 | 0.02235005243 |
| 1 | 0 | 0.5731065404 | 57.311% | 0.02318472503 | 0.5271710539 | 0.6178146829 |
| 1 | 1 | 0.3590490249 | 35.905% | 0.01939228318 | 0.3219858331 | 0.3978749395 |
| 1 | 2 | 0.1962432783 | 19.624% | 0.0137622434 | 0.1706596397 | 0.224623406 |
| 1 | 3 | 0.1043581501 | 10.436% | 0.00857677644 | 0.0887032442 | 0.1224048243 |
| 1 | 4 | 0.05962970976 | 5.963% | 0.005359725244 | 0.049951078 | 0.07104345816 |
| 1 | 5 | 0.03804918548 | 3.805% | 0.004002268019 | 0.03093594082 | 0.04671915919 |
| 1 | 6 | 0.02738070457 | 2.738% | 0.003397062367 | 0.02145347412 | 0.03488714463 |
| 1 | 7 | 0.02224130848 | 2.224% | 0.00299615003 | 0.01706755489 | 0.02893723046 |
| 1 | 8 | 0.02022095507 | 2.022% | 0.003028674878 | 0.01506436723 | 0.02709410595 |
| 1 | 9 | 0.0199043156 | 1.990% | 0.004112240753 | 0.01325693043 | 0.02978427024 |
| 1 | 10 | 0.02038777185 | 2.039% | 0.006151610973 | 0.01125144872 | 0.03666778155 |
| 2 | 0 | 0.6903554602 | 69.036% | 0.0189371209 | 0.6520679782 | 0.7261988109 |
| 2 | 1 | 0.5443595896 | 54.436% | 0.01856752142 | 0.5077935024 | 0.5804535889 |
| 2 | 2 | 0.3885501108 | 38.855% | 0.01745441435 | 0.3549357607 | 0.4232590934 |
| 2 | 3 | 0.2495391529 | 24.954% | 0.014091763 | 0.2229487599 | 0.2781656302 |
| 2 | 4 | 0.1467630642 | 14.676% | 0.009518204731 | 0.1290705199 | 0.1664174276 |
| 2 | 5 | 0.08532020171 | 8.532% | 0.006556642993 | 0.07331560283 | 0.09908025558 |
| 2 | 6 | 0.05394956955 | 5.395% | 0.004961425088 | 0.04501148158 | 0.06454257122 |
| 2 | 7 | 0.04055021682 | 4.055% | 0.004108926332 | 0.03321977932 | 0.04941554449 |
| 2 | 8 | 0.03822678493 | 3.823% | 0.004242306363 | 0.03072679576 | 0.04746776723 |
| 2 | 9 | 0.04269527516 | 4.270% | 0.006255055718 | 0.03198439208 | 0.05678260215 |
| 2 | 10 | 0.05182994154 | 5.183% | 0.01077331404 | 0.03434816184 | 0.07749517797 |
| 3 | 0 | 0.797571083 | 79.757% | 0.01467306036 | 0.7672855057 | 0.8248151672 |
| 3 | 1 | 0.7149588321 | 71.496% | 0.01483911063 | 0.6850049817 | 0.7431323915 |
| 3 | 2 | 0.6071310385 | 60.713% | 0.01615725998 | 0.5750524809 | 0.6383111186 |
| 3 | 3 | 0.4711414999 | 47.114% | 0.01692385378 | 0.4381450338 | 0.50439211 |
| 3 | 4 | 0.3217942326 | 32.179% | 0.01468532428 | 0.2937107177 | 0.3512276558 |
| 3 | 5 | 0.2009127281 | 20.091% | 0.01162962737 | 0.1790815592 | 0.2246768681 |
| 3 | 6 | 0.1274572234 | 12.746% | 0.009199727054 | 0.1104873289 | 0.1466039709 |
| 3 | 7 | 0.09309530432 | 9.310% | 0.00761434538 | 0.0792058575 | 0.1091317188 |
| 3 | 8 | 0.08525401171 | 8.525% | 0.007939987663 | 0.07092460026 | 0.1021601587 |
| 3 | 9 | 0.09303411108 | 9.303% | 0.01182636333 | 0.07230173609 | 0.1189491905 |
| 3 | 10 | 0.1105523624 | 11.055% | 0.01994754064 | 0.07707737939 | 0.1561065874 |
| 4 | 0 | 0.8417381147 | 84.174% | 0.01234332893 | 0.8160186997 | 0.8644593168 |
| 4 | 1 | 0.7981018743 | 79.810% | 0.01184282033 | 0.7738912607 | 0.8203220131 |
| 4 | 2 | 0.7352197345 | 73.522% | 0.01299806085 | 0.7089720604 | 0.7599018335 |
| 4 | 3 | 0.6353112251 | 63.531% | 0.01538915477 | 0.6046505566 | 0.6649118177 |
| 4 | 4 | 0.4870751258 | 48.708% | 0.01635467086 | 0.4551156434 | 0.519140642 |
| 4 | 5 | 0.329299836 | 32.930% | 0.01495337684 | 0.3006804552 | 0.3592439095 |
| 4 | 6 | 0.2129712352 | 21.297% | 0.0124120145 | 0.1896550922 | 0.2383108675 |
| 4 | 7 | 0.1517419204 | 15.174% | 0.01042037387 | 0.1324252297 | 0.1733134255 |
| 4 | 8 | 0.1334453856 | 13.345% | 0.0112649442 | 0.1128679986 | 0.1571099201 |
| 4 | 9 | 0.1394145875 | 13.941% | 0.016718938 | 0.1097500897 | 0.1755163498 |
| 4 | 10 | 0.1585217401 | 15.852% | 0.02680291677 | 0.1127343194 | 0.2183297748 |
| 5 | 0 | 0.9170728723 | 91.707% | 0.008457404609 | 0.8989170041 | 0.9322136133 |
| 5 | 1 | 0.8974125284 | 89.741% | 0.007556535295 | 0.8816258715 | 0.9113056435 |
| 5 | 2 | 0.867290962 | 86.729% | 0.008066100945 | 0.8506683087 | 0.8823192602 |
| 5 | 3 | 0.8132817134 | 81.328% | 0.01050073176 | 0.7918211193 | 0.8329965936 |
| 5 | 4 | 0.7152532998 | 71.525% | 0.01357429911 | 0.6879168638 | 0.7410964317 |
| 5 | 5 | 0.5740643018 | 57.406% | 0.01591146505 | 0.5426222849 | 0.6049186121 |
| 5 | 6 | 0.4256569429 | 42.566% | 0.01670544993 | 0.3932837993 | 0.4586802838 |
| 5 | 7 | 0.3150111489 | 31.501% | 0.01579393681 | 0.2849045545 | 0.3467564738 |
| 5 | 8 | 0.2565700746 | 25.657% | 0.01609229951 | 0.2263148541 | 0.2893572896 |
| 5 | 9 | 0.2306124524 | 23.061% | 0.0207368804 | 0.1924861038 | 0.2737307018 |
| 5 | 10 | 0.2188000761 | 21.880% | 0.0286903249 | 0.167747778 | 0.2801593438 |
| 6 | 0 | 0.9415966235 | 94.160% | 0.006975228551 | 0.9263268141 | 0.9538591935 |
| 6 | 1 | 0.9314751423 | 93.148% | 0.005928365475 | 0.9189022334 | 0.9422213865 |
| 6 | 2 | 0.915743194 | 91.574% | 0.006068741651 | 0.9030602378 | 0.9269011139 |
| 6 | 3 | 0.8865628772 | 88.656% | 0.007799509729 | 0.8703540222 | 0.9009758005 |
| 6 | 4 | 0.8303266057 | 83.033% | 0.01047994932 | 0.8087858419 | 0.8498911231 |
| 6 | 5 | 0.7370076415 | 73.701% | 0.01382829012 | 0.7090212548 | 0.7632012778 |
| 6 | 6 | 0.6112420424 | 61.124% | 0.01743430464 | 0.5765746969 | 0.644819517 |
| 6 | 7 | 0.4805144603 | 48.051% | 0.01922012804 | 0.4430230289 | 0.5182266292 |
| 6 | 8 | 0.3749028924 | 37.490% | 0.02010464226 | 0.3363970319 | 0.4150595567 |
| 6 | 9 | 0.2956560304 | 29.566% | 0.02423993248 | 0.2504476927 | 0.3452659338 |
| 6 | 10 | 0.2338209087 | 23.382% | 0.02997678741 | 0.1802229967 | 0.2975726599 |
| 7 | 0 | 0.9767462151 | 97.675% | 0.003919061752 | 0.9676906275 | 0.9833075073 |
| 7 | 1 | 0.9717530502 | 97.175% | 0.00352772741 | 0.9639526809 | 0.9779041693 |
| 7 | 2 | 0.9646199011 | 96.462% | 0.003757382204 | 0.9564695959 | 0.9712900099 |
| 7 | 3 | 0.9529020851 | 95.290% | 0.00490005447 | 0.9423115501 | 0.9616275653 |
| 7 | 4 | 0.9320940921 | 93.209% | 0.006714636462 | 0.9176906766 | 0.9441304829 |
| 7 | 5 | 0.8959959811 | 89.600% | 0.009461415693 | 0.8759362545 | 0.9131339227 |
| 7 | 6 | 0.8362640334 | 83.626% | 0.01401933448 | 0.8069022018 | 0.8619251801 |
| 7 | 7 | 0.7449132798 | 74.491% | 0.0201714459 | 0.7034104626 | 0.7824050122 |
| 7 | 8 | 0.6211710743 | 62.117% | 0.02622442915 | 0.5685864305 | 0.671054322 |
| 7 | 9 | 0.4767531616 | 47.675% | 0.03282516651 | 0.4131470662 | 0.5411223375 |
| 7 | 10 | 0.334880792 | 33.488% | 0.03826886304 | 0.2644517683 | 0.4135215994 |
| 8 | 0 | 0.9889986791 | 98.900% | 0.003024857331 | 0.9811784768 | 0.99359087 |
| 8 | 1 | 0.9890051152 | 98.901% | 0.002390780482 | 0.9831816588 | 0.9928268746 |
| 8 | 2 | 0.9883872579 | 98.839% | 0.002222733276 | 0.9831166011 | 0.9920258677 |
| 8 | 3 | 0.9863046299 | 98.630% | 0.00253202521 | 0.9803434817 | 0.9904755298 |
| 8 | 4 | 0.9812439735 | 98.124% | 0.003288170523 | 0.9735865224 | 0.9867117757 |
| 8 | 5 | 0.9708216795 | 97.082% | 0.004814120469 | 0.9597516585 | 0.9789138637 |
| 8 | 6 | 0.9504465924 | 95.045% | 0.008052767928 | 0.9320585306 | 0.9640499579 |
| 8 | 7 | 0.9121140596 | 91.211% | 0.01422369002 | 0.8799478505 | 0.9362858405 |
| 8 | 8 | 0.8446499838 | 84.465% | 0.02386650984 | 0.7919518062 | 0.8859225953 |
| 8 | 9 | 0.7367264503 | 73.673% | 0.03788029801 | 0.6561588682 | 0.8040533024 |
| 8 | 10 | 0.588288613 | 58.829% | 0.055384406 | 0.4771885378 | 0.691064233 |
| 9 | 0 | 0.9902481328 | 99.025% | 0.003470096255 | 0.9804714888 | 0.9951544418 |
| 9 | 1 | 0.9925252386 | 99.253% | 0.002107491331 | 0.9870282001 | 0.9957029475 |
| 9 | 2 | 0.9938450546 | 99.385% | 0.001649048757 | 0.9896044331 | 0.9963621756 |
| 9 | 3 | 0.9941453976 | 99.415% | 0.001624455188 | 0.9899252662 | 0.9966038537 |
| 9 | 4 | 0.9931933464 | 99.319% | 0.001805776777 | 0.9885637198 | 0.9959564768 |
| 9 | 5 | 0.9904026075 | 99.040% | 0.002306732054 | 0.9846466937 | 0.9940137634 |
| 9 | 6 | 0.983993802 | 98.399% | 0.003644391668 | 0.9750375378 | 0.989770368 |
| 9 | 7 | 0.9693032596 | 96.930% | 0.007020643789 | 0.9521174334 | 0.9804474858 |
| 9 | 8 | 0.9349101413 | 93.491% | 0.01468824058 | 0.8994904502 | 0.9584248146 |
| 9 | 9 | 0.8575523037 | 85.755% | 0.03101432068 | 0.7854078826 | 0.9082748552 |
| 9 | 10 | 0.7082026636 | 70.820% | 0.05932364368 | 0.5802967469 | 0.809898363 |
Exact 30 covariance-aware probability contrasts
| Cutoff | Contrast | Estimate, pp | SE, pp | 95% lower, pp | 95% upper, pp |
|---|---|---|---|---|---|
| 0 | lower-step | -8.042324759 | 0.8075272680000001 | -9.625135717 | -6.459513801 |
| 0 | upper-step | -1.009830383 | 0.330102976 | -1.6568557259999999 | -0.3628050394 |
| 0 | upper-minus-lower | 7.032494376 | 0.8797214830000001 | 5.308177615 | 8.756811138 |
| 1 | lower-step | -15.819409279999999 | 1.136496874 | -18.04702409 | -13.591794460000001 |
| 1 | upper-step | -1.7828230409999999 | 0.3042917088 | -2.3792564620000003 | -1.18638962 |
| 1 | upper-minus-lower | 14.036586240000002 | 1.0823796829999999 | 11.91504497 | 16.1581275 |
| 2 | lower-step | -30.322990909999998 | 1.3549478849999999 | -32.97878527 | -27.66719656 |
| 2 | upper-step | -4.709341678 | 0.4685101259 | -5.627654892000001 | -3.791028463 |
| 2 | upper-minus-lower | 25.61364923 | 1.271130796 | 23.12214234 | 28.105156129999997 |
| 3 | lower-step | -40.621831040000004 | 1.074049285 | -42.72704413 | -38.516617939999996 |
| 3 | upper-step | -11.56587164 | 0.8149117686 | -13.163156749999999 | -9.968586536 |
| 3 | upper-minus-lower | 29.0559594 | 1.352703822 | 26.40456357 | 31.70735523 |
| 4 | lower-step | -40.59198984 | 0.8852760566 | -42.327193969999996 | -38.85678572 |
| 4 | upper-step | -19.58544504 | 1.1222705689999999 | -21.78517529 | -17.3857148 |
| 4 | upper-minus-lower | 21.0065448 | 1.6489114379999998 | 17.77456095 | 24.23852866 |
| 5 | lower-step | -29.32266602 | 1.045614953 | -31.372145800000002 | -27.27318624 |
| 5 | upper-step | -31.74942272 | 1.2182453180000001 | -34.13727031 | -29.361575130000002 |
| 5 | upper-minus-lower | -2.4267567 | 1.8624011230000002 | -6.077195543999999 | 1.223682144 |
| 6 | lower-step | -17.87355525 | 0.9504643974999999 | -19.73653316 | -16.01057734 |
| 6 | upper-step | -36.21047491 | 1.341600215 | -38.84010688 | -33.58084294 |
| 6 | upper-minus-lower | -18.33691966 | 1.60142821 | -21.475833010000002 | -15.19800631 |
| 7 | lower-step | -6.862392002000001 | 0.6567090683 | -8.149588547 | -5.575195455999999 |
| 7 | upper-step | -27.482490679999998 | 1.942820201 | -31.29055665 | -23.67442472 |
| 7 | upper-minus-lower | -20.62009868 | 1.646168286 | -23.84670576 | -17.3934916 |
| 8 | lower-step | -1.756557835 | 0.3175856861 | -2.379048398 | -1.134067271 |
| 8 | upper-step | -12.61716957 | 1.986443774 | -16.51074084 | -8.723598298 |
| 8 | upper-minus-lower | -10.86061174 | 1.750093224 | -14.2909191 | -7.430304373 |
| 9 | lower-step | -0.34424471149999997 | 0.13358036880000002 | -0.606071748 | -0.08241767492 |
| 9 | upper-step | -5.549246616 | 1.286991815 | -8.071842235 | -3.026650997 |
| 9 | upper-minus-lower | -5.2050019039999995 | 1.200125479 | -7.557333319 | -2.85267049 |
Source: European Social Survey, ESS Round 11 (2023/24). ESS analysis weights; ten complete-case adjusted binomial/logit threshold models with fixed empirical-reference standardization and survey-design pointwise 95% intervals. Sources, design and limitations.
The ordering gate passes for 20 of the 32 reference populations, including France, the all-country reference and the fixed recent-country reference. Twelve national reference surfaces are withheld because separate cutoff fits cross somewhere on the registered grid. That is a limitation of the fitted distribution, not an absence of survey answers. The observed distributions remain available; rejected model surfaces are not selectively repaired.
The common curve is a restriction, not a European law
The shared curve is useful precisely because it summarizes many interviews, but that convenience is also an assumption. The original country-adjusted curve permits different intercepts, while retaining a common slope and curvature. The exploratory interaction models relax that restriction explicitly. One estimates country-specific shapes within a joint Round 11 fit. The other estimates shapes by reported household financial difficulty on the same complete-case sample, with the remaining covariates retained.
Each profile carries the same registered two-step comparison. The formal joint tests concern the common-shape restrictions; the individual intervals remain pointwise. A country's position is not a significant-country ranking, and a profile's respondent support is not the full model sample. Differences in conditional associations do not establish that financial circumstances caused a change in democratic attitudes.
The country common-shape test gives F(87, 22565) = 6.31, with p below 0.001. The financial-strain test gives F(9, 22114) = 2.67, p = 0.0042. These exploratory tests reject their respective shared-shape restrictions, but they do not establish that curvature rises monotonically with hardship. The four financial-profile curvature estimates are -0.30, -0.47, -0.05 and -0.42 rating points, in the source's order from living comfortably to finding income very difficult. The last two intervals include zero. A more elaborate model exposes that uncertainty rather than turning it into a tidy social gradient.
Model laboratory / pinned ESS Round 11 (2023/24)
Does a common curve hide different shapes?
This figure always remains at Round 11 even when another wave is explored elsewhere. It displays the registered upper-minus-lower curvature contrast with survey-design pointwise 95% intervals; no profile is ranked by estimate or statistical significance.
The F test evaluates all registered country-by-spline shape interactions jointly. It is the formal common-shape evidence; individual interval overlap is not that test.
Shared-curve reference: -0.428; 95% CI -0.552 to -0.304. This comes from another fitted model and is a visual reference, not an independent test of any profile difference.
Use Arrow keys or Previous/Next to inspect profiles; Home/End moves to the first or last registered profile. Enter/Space or a tap pins. Escape dismisses and restores focus. Pointer movement only inspects. Only Follow changes the selected country.
Exact profile contrasts, intervals and respondent support
| Profile | Profile support n | Model n | Lower step | Lower 95% interval | Upper step | Upper 95% interval | Upper minus lower | Difference 95% interval |
|---|---|---|---|---|---|---|---|---|
| Austria AT | 2,292 | 47,836 | 2.288711351 | [2.031414092, 2.546008611] | 1.968345336 | [1.729319194, 2.207371478] | -0.3203660153 | [-0.6726326364, 0.03190060572] |
| Belgium BE | 1,555 | 47,836 | 1.688755376 | [1.371195191, 2.006315562] | 1.469849086 | [1.119060823, 1.820637349] | -0.2189062903 | [-0.7675755102, 0.3297629295] |
| Bulgaria BG | 2,156 | 47,836 | 1.881976506 | [1.662119784, 2.101833228] | 1.4791716 | [0.8789825792, 2.07936062] | -0.4028049065 | [-1.097217583, 0.2916077696] |
| Croatia HR | 1,489 | 47,836 | 1.845317198 | [1.613848964, 2.076785432] | 1.807098519 | [1.39968177, 2.214515269] | -0.03821867846 | [-0.5663519927, 0.4899146358] |
| Cyprus CY | 660 | 47,836 | 1.817365647 | [1.396507873, 2.238223422] | 0.6826819205 | [-0.3727307203, 1.738094561] | -1.134683727 | [-2.402777803, 0.1334103502] |
| Estonia EE | 1,222 | 47,836 | 2.089037324 | [1.848366345, 2.329708303] | 1.50938022 | [1.126126858, 1.892633583] | -0.5796571035 | [-1.094503057, -0.06481115002] |
| Finland FI | 1,529 | 47,836 | 1.414568931 | [1.108669335, 1.720468527] | 1.133942409 | [0.9166347253, 1.351250094] | -0.2806265218 | [-0.6872687608, 0.1260157171] |
| France FR | 1,697 | 47,836 | 1.944947008 | [1.702833079, 2.187060938] | 1.771507523 | [1.171410367, 2.371604678] | -0.1734394857 | [-0.9230900921, 0.5762111207] |
| Germany DE | 2,389 | 47,836 | 2.207137745 | [1.966629552, 2.447645938] | 1.588737314 | [1.228917865, 1.948556763] | -0.6184004309 | [-1.030982162, -0.2058186995] |
| Greece GR | 2,699 | 47,836 | 2.287150645 | [2.107456032, 2.466845258] | 1.585908059 | [1.086218861, 2.085597257] | -0.7012425861 | [-1.293083531, -0.1094016408] |
| Hungary HU | 2,040 | 47,836 | 2.644161168 | [2.469612827, 2.818709508] | 2.210000146 | [1.972260905, 2.447739388] | -0.4341610213 | [-0.7615327055, -0.1067893371] |
| Iceland IS | 814 | 47,836 | 1.439211184 | [1.093694221, 1.784728146] | 0.9145414992 | [0.4723998248, 1.356683174] | -0.5246696846 | [-1.111264137, 0.06192476789] |
| Ireland IE | 1,920 | 47,836 | 1.938828122 | [1.679432897, 2.198223347] | 1.393033887 | [1.161953799, 1.624113974] | -0.5457942353 | [-0.9125307793, -0.1790576913] |
| Israel IL | 847 | 47,836 | 2.023040149 | [1.723301065, 2.322779233] | 1.408364572 | [1.002583263, 1.814145881] | -0.614675577 | [-1.1815884, -0.04776275444] |
| Italy IT | 2,733 | 47,836 | 1.877306529 | [1.664659288, 2.08995377] | 1.831414812 | [1.551198891, 2.111630732] | -0.04589171727 | [-0.4311733065, 0.339389872] |
| Latvia LV | 1,141 | 47,836 | 2.086409883 | [1.763300506, 2.40951926] | 1.472847141 | [0.8285992337, 2.117095049] | -0.613562742 | [-1.447901777, 0.220776293] |
| Lithuania LT | 1,282 | 47,836 | 1.752562782 | [1.483915393, 2.021210171] | 1.169229198 | [0.8842953651, 1.454163031] | -0.5833335837 | [-0.9893354753, -0.177331692] |
| Montenegro ME | 1,565 | 47,836 | 1.268436433 | [0.941094628, 1.595778237] | 1.543048493 | [1.055457812, 2.030639174] | 0.2746120601 | [-0.3811784028, 0.930402523] |
| Netherlands NL | 1,642 | 47,836 | 1.914471744 | [1.620739368, 2.208204119] | 1.30084932 | [1.074819345, 1.526879296] | -0.6136224236 | [-1.012435317, -0.2148095298] |
| Norway NO | 1,323 | 47,836 | 1.801731275 | [1.39727812, 2.20618443] | 0.9233295595 | [0.6663308206, 1.180328298] | -0.8784017154 | [-1.425527798, -0.331275633] |
| Poland PL | 1,327 | 47,836 | 1.835824807 | [1.509803271, 2.161846343] | 1.515605442 | [1.20517729, 1.826033594] | -0.3202193649 | [-0.8119954322, 0.1715567024] |
| Portugal PT | 1,303 | 47,836 | 1.696293478 | [1.441352003, 1.951234953] | 1.243757775 | [0.7995673995, 1.68794815] | -0.4525357037 | [-0.9985631706, 0.09349176329] |
| Serbia RS | 1,363 | 47,836 | 2.428021801 | [2.170112857, 2.685930745] | 2.39991879 | [2.073902527, 2.725935054] | -0.02810301041 | [-0.4431792931, 0.3869732723] |
| Slovakia SK | 1,389 | 47,836 | 2.069159733 | [1.730380543, 2.407938924] | 1.163852182 | [0.5135156101, 1.814188754] | -0.9053075516 | [-1.78629724, -0.02431786326] |
| Slovenia SI | 1,172 | 47,836 | 1.969654944 | [1.705201979, 2.234107908] | 1.598484821 | [1.268766479, 1.928203163] | -0.3711701228 | [-0.8390158079, 0.09667556218] |
| Spain ES | 1,796 | 47,836 | 1.902329716 | [1.715403272, 2.089256161] | 1.807628587 | [1.558797083, 2.056460091] | -0.09470112914 | [-0.4193668928, 0.2299646345] |
| Sweden SE | 1,198 | 47,836 | 1.386142201 | [1.023399665, 1.748884737] | 0.5042374912 | [0.1012499658, 0.9072250166] | -0.8819047097 | [-1.481226084, -0.2825833355] |
| Switzerland CH | 1,320 | 47,836 | 2.032875637 | [1.416405334, 2.649345939] | 1.302632002 | [1.062982568, 1.542281437] | -0.7302436342 | [-1.442584452, -0.01790281638] |
| Ukraine UA | 2,405 | 47,836 | 1.882178766 | [1.638139437, 2.126218095] | 1.322383865 | [0.7688405571, 1.875927172] | -0.5597949014 | [-1.213103385, 0.09351358225] |
| United Kingdom GB | 1,568 | 47,836 | 1.924513793 | [1.677307367, 2.171720218] | 1.623691199 | [1.305260318, 1.942122081] | -0.3008225932 | [-0.7272360597, 0.1255908733] |
The displayed profiles are estimated jointly in Gaussian survey regressions with profile-by-spline interactions. They are not separate profile regressions, transitions, causal effects or the earlier shared country-slope model.
Source: European Social Survey, ESS Round 11 (2023/24). ESS analysis weights; Gaussian survey regressions and survey-design pointwise 95% intervals. Sources, design and limitations.
Earlier rounds test recurrence, not a European trajectory
A pattern in one survey wave might be peculiar to that period. Earlier rounds let us ask whether the chosen contrast recurs, although their changing coverage limits the comparison. Across the eleven separately fitted rounds, every country-spline contrast has a negative point estimate. The uncertainty is not uniform: the intervals include zero in Rounds 1, 3 and 4. Nor is this contrast interchangeable with the joint test of the entire nonlinear function. In Rounds 1 and 4, that joint test rejects a straight line even though the interval for this particular contrast crosses zero. Counting vaguely defined "significant waves" would obscure which question was tested.
Evidence 04
Separate waves are checks, not a single European trajectory
Eleven country-flexible finite contrasts and three recent fixed-country checks. Each row is a survey wave, not an equally spaced calendar year.
C = [m(8) - m(5)] - [m(5) - m(2)], in democratic-satisfaction points. Blue circles use each wave's included countries; gold squares use the same 19 recent countries. No individual or fixed-Europe trajectory is drawn.
Round 1 2002/03
7 countries / n = 11,457
-0.280 95% CI -0.575 to 0.015
Fixed set: not specified
Round 2 2004/05
10 countries / n = 17,801
-0.351 95% CI -0.565 to -0.138
Fixed set: not specified
Round 3 2006/07
8 countries / n = 14,215
-0.161 95% CI -0.391 to 0.069
Fixed set: not specified
Round 4 2008/09
7 countries / n = 13,669
-0.113 95% CI -0.344 to 0.117
Fixed set: not specified
Round 5 2010/11
20 countries / n = 35,889
-0.428 95% CI -0.589 to -0.266
Fixed set: not specified
Round 6 2012/13
27 countries / n = 48,027
-0.456 95% CI -0.577 to -0.334
Fixed set: not specified
Round 7 2014/15
21 countries / n = 38,597
-0.297 95% CI -0.409 to -0.185
Fixed set: not specified
Round 8 2016/17
23 countries / n = 42,395
-0.395 95% CI -0.520 to -0.270
Fixed set: not specified
Round 9 2018/19
29 countries / n = 47,005
Fixed 19 / n = 30,624
-0.352 95% CI -0.457 to -0.247
Fixed -0.330 95% CI -0.467 to -0.193
Round 10 2020-22
22 countries / n = 36,264
Fixed 19 / n = 29,753
-0.333 95% CI -0.481 to -0.186
Fixed -0.292 95% CI -0.450 to -0.134
Round 11 2023/24
30 countries / n = 47,836
Fixed 19 / n = 29,719
Declared primary wave-0.428 95% CI -0.552 to -0.304
Fixed -0.425 95% CI -0.576 to -0.274
Inspect waves with the arrow keys or Home/End. Enter/Space or a tap pins; Escape dismisses. Moving the pointer only inspects. Only an explicit Follow action changes the selected evidence.
The early waves qualify the claim
The finite-contrast intervals in Rounds 1, 3 and 4 cross zero. The latest whole-shape test supports a bend; that does not make the same finite comparison conclusive in every wave.
Reading these rows needs no further download. Following another wave commits that selection and may load the verified evidence.
Exact wave contrasts, country coverage and samples
| Wave / model | Countries | Model n | Estimate | SE | 95% lower | 95% upper | Whole-shape F | Whole-shape p |
|---|---|---|---|---|---|---|---|---|
| Round 1 / 2002/03 / Included countries | 7 | 11,457 | -0.2800492716 | 0.1503521674 | -0.5748121723 | 0.01471362907 | 3.966597348 | 0.01900299916 |
| Round 2 / 2004/05 / Included countries | 10 | 17,801 | -0.3513782047 | 0.1090055031 | -0.5650860272 | -0.1376703821 | 5.514792339 | 0.004055679858 |
| Round 3 / 2006/07 / Included countries | 8 | 14,215 | -0.1609606696 | 0.1173668763 | -0.3910685632 | 0.06914722403 | 1.171345832 | 0.3100610254 |
| Round 4 / 2008/09 / Included countries | 7 | 13,669 | -0.1134610989 | 0.1173520194 | -0.343531696 | 0.1166094982 | 4.946689856 | 0.007147456771 |
| Round 5 / 2010/11 / Included countries | 20 | 35,889 | -0.4277673478 | 0.08242709705 | -0.589337439 | -0.2661972566 | 14.11035083 | 7.568225178e-7 |
| Round 6 / 2012/13 / Included countries | 27 | 48,027 | -0.4556981368 | 0.06187337927 | -0.5769755677 | -0.3344207059 | 39.22267035 | 1.003176132e-17 |
| Round 7 / 2014/15 / Included countries | 21 | 38,597 | -0.2970145948 | 0.05710760643 | -0.4089512492 | -0.1850779404 | 13.73468104 | 0.000001096016252 |
| Round 8 / 2016/17 / Included countries | 23 | 42,395 | -0.3945926407 | 0.06373969702 | -0.5195285663 | -0.2696567152 | 20.43393675 | 1.366878448e-9 |
| Round 9 / 2018/19 / Included countries | 29 | 47,005 | -0.3520976675 | 0.05357055138 | -0.4571000047 | -0.2470953304 | 25.67529188 | 7.291634361e-12 |
| Round 9 / 2018/19 / Fixed 19 countries | 19 | 30,624 | -0.3300240912 | 0.06980420943 | -0.4668505482 | -0.1931976341 | 11.39003588 | 0.00001142070531 |
| Round 10 / 2020-22 / Included countries | 22 | 36,264 | -0.3332644922 | 0.07521167416 | -0.4806888414 | -0.1858401429 | 9.825712471 | 0.00005440088821 |
| Round 10 / 2020-22 / Fixed 19 countries | 19 | 29,753 | -0.2915770217 | 0.08061221766 | -0.4495879057 | -0.1335661377 | 6.567899362 | 0.001409134603 |
| Round 11 / 2023/24 / Included countries | 30 | 47,836 | -0.4281351466 | 0.0631371919 | -0.5518883813 | -0.3043819119 | 24.1573514 | 3.309545234e-11 |
| Round 11 / 2023/24 / Fixed 19 countries | 19 | 29,719 | -0.424537182 | 0.07705204221 | -0.5755685641 | -0.2735057998 | 20.02299061 | 2.068626646e-9 |
Source: European Social Survey. ESS1, edition 6.7; ESS2, edition 3.6; ESS3, edition 3.7; ESS4, edition 4.6; ESS5, edition 3.6; ESS6, edition 2.7; ESS7, edition 2.3; ESS8, edition 2.3; ESS9, edition 3.3; ESS10, edition 3.3; ESS11, edition 4.2. ESS analysis weights; survey-design 95% pointwise intervals, not simultaneous bands. Sources, design and limitations.
Coverage also changes, from seven eligible countries in some early rounds to 30 in Round 11. Only Finland and France have reviewed usable designs in all eleven rounds. Those two countries cannot stand in for a fixed Europe, and the successive surveys are neither an individual panel nor an annual path.
A narrower check holds the 19 countries shared by Rounds 9 to 11 fixed. Their contrasts are -0.33 points in Round 9 (95% interval: -0.47 to -0.19) and -0.29 in Round 10 (-0.45 to -0.13). In Round 11, the contrast is -0.42 (-0.58 to -0.27), based on 29,719 paired responses. This supports recurrence within that recent country set; it does not establish a historical trend in the strength of the association.
A surviving result still needs a boundary
The final checks ask how much depends on the way the comparison was assembled. Restricting Round 11 to face-to-face interviews leaves 45,991 paired responses. The contrast is -0.43 points, with a 95% interval from -0.55 to -0.30, close to the primary estimate. Together with the complete-case and fixed-country checks, this shows that the reported bend survives several declared restrictions. It does not show that interview mode, missingness or country coverage is irrelevant.
Evidence 05
Six declared checks retain the same qualitative bend
Round 11 / 2023/24. Each row shows the same finite contrast C under one prespecified set of conditions. Country selection does not change these model-wide contrasts.
Read conditions before comparing the estimates. Sample, country coverage and covariates can change together. The intervals do not establish independent differences between specifications. All interval marks share one rating-point scale.
Pooled responses
Paired answers / Included countries
30 countries / n = 47,836
-0.456 / 95% CI -0.581 to -0.330
Flexible curve within countries
Paired answers / Included countries
30 countries / n = 47,836
-0.428 / 95% CI -0.552 to -0.304
Same complete-case sample
Complete cases / Included countries
30 countries / n = 46,091
-0.428 / 95% CI -0.553 to -0.303
Financial and demographic adjustment
Complete cases / Included countries
30 countries / n = 46,091
-0.380 / 95% CI -0.508 to -0.253
Face-to-face interviews
Paired answers / Included countries
30 countries / n = 45,991
-0.427 / 95% CI -0.553 to -0.301
The same 19 recent countries
Paired answers / Fixed 19 / R9-11
19 countries / n = 29,719
-0.425 / 95% CI -0.576 to -0.274
Inspect model conditions with the arrow keys or Home/End. Enter/Space or a tap pins; Escape dismisses. Moving the pointer only inspects. Only an explicit Follow action changes the selected evidence.
Conventional interval baseline / the same six specifications
The same estimates, intervals and common scale, without the condition columns. No alternative calculation or reordering.
n = 47,836 / 30 countries
-0.456 / 95% CI -0.581 to -0.330
n = 47,836 / 30 countries
-0.428 / 95% CI -0.552 to -0.304
n = 46,091 / 30 countries
-0.428 / 95% CI -0.553 to -0.303
n = 46,091 / 30 countries
-0.380 / 95% CI -0.508 to -0.253
n = 45,991 / 30 countries
-0.427 / 95% CI -0.553 to -0.301
n = 29,719 / 19 countries
-0.425 / 95% CI -0.576 to -0.274
What the adjustment includes
Age, age squared, source gender, fractional education, financial-strain categories and main-activity unemployment. The complete-case baseline and adjusted fit share their respondents; other rows change sample or country conditions.
Following a model preserves the selected country. If that country is outside the model, the curve is explicitly unavailable rather than replaced by a pooled fit.
Exact six-model contrasts, conditions and samples
| Model / conditions | Countries | Model n | Estimate | SE | 95% lower | 95% upper | Availability |
|---|---|---|---|---|---|---|---|
| Pooled responsesPaired answers; Included countries; country intercepts: No; covariates: None; mode: As available. | 30 | 47,836 | -0.4556269557 | 0.06390234369 | -0.5808799319 | -0.3303739794 | Available |
| Flexible curve within countriesPaired answers; Included countries; country intercepts: Yes; covariates: None; mode: As available. | 30 | 47,836 | -0.4281351466 | 0.0631371919 | -0.5518883813 | -0.3043819119 | Available |
| Same complete-case sampleComplete cases; Included countries; country intercepts: Yes; covariates: None; mode: As available. | 30 | 46,091 | -0.4281501549 | 0.06384749444 | -0.5532957889 | -0.303004521 | Available |
| Financial and demographic adjustmentComplete cases; Included countries; country intercepts: Yes; covariates: Demographic + financial; mode: As available. | 30 | 46,091 | -0.3800842878 | 0.06505700235 | -0.5076006458 | -0.2525679297 | Available |
| Face-to-face interviewsPaired answers; Included countries; country intercepts: Yes; covariates: None; mode: Face-to-face only. | 30 | 45,991 | -0.4269629048 | 0.06433576312 | -0.5530659533 | -0.3008598564 | Available |
| The same 19 recent countriesPaired answers; Fixed 19 / R9-11; country intercepts: Yes; covariates: None; mode: As available. | 19 | 29,719 | -0.424537182 | 0.07705204221 | -0.5755685641 | -0.2735057998 | Available |
Source: European Social Survey. ESS11, edition 4.2 (10.21338/ess11e04_2). ESS analysis weights; survey-design 95% pointwise intervals, not simultaneous bands. Sources, design and limitations.
The observed evidence deserves the same discipline as the models. Of 2,398 raw-score aggregates across the study, 640 are suppressed below 50 responses and another 303 are flagged for low precision at 50 to 99. An attractive fitted curve must not turn sparse observations into apparently precise local knowledge. France's suppressed high-score means remain suppressed even when a smooth model passes through that part of the scale.
Both answers are ordinal ratings on bounded scales. Equal numerical steps need not represent equal differences in underlying satisfaction, while a ceiling of 10 could compress differences toward the satisfied end. A common-response style could also contribute to the association between the answers. These are possible explanations for part of the association or its shape, not mechanisms established by this analysis.
Country intercepts and additional covariates also leave reverse causality and omitted influences unresolved. Respondents may use the rating scale differently across settings; the study does not establish measurement equivalence. Design-aware confidence intervals quantify sampling uncertainty under the model and survey conventions, not these broader uncertainties.
What the association permits us to say
For an analyst interpreting democratic dissatisfaction, a constant economic gradient discards information in the primary comparison. The association is steeper over the prespecified low-to-middle interval than over the equally wide middle-to-high interval, and that contrast persists under the declared adjustments.
The practical implication is to preserve the shape and its uncertainty when describing the evidence. A policy claim about what improving the economy would do requires a design that identifies causality. A claim about where democratic legitimacy collapses requires both a different political measure and a test designed to locate such a break. These satisfaction answers establish neither.
The audit stays with the argument
Sources, design and failure boundaries
Questions and analytical scope
The study asks whether economic dissatisfaction is nonlinearly associated with satisfaction with the way democracy works. The original English questions in the Round 11 source questionnaire, PDF page 12 are:
- B28: "On the whole how satisfied are you with the present state of the economy in [country]?"
- B30: "And on the whole, how satisfied are you with the way democracy works in [country]?"
Both use 0, "Extremely dissatisfied," to 10, "Extremely satisfied." Refusal, don't know and no answer codes are missing, not ratings. The outcome concerns reported democratic performance, not regime support or objective democracy.
Eleven pinned rounds contain 518,597 source records. Reviewed sampling designs yield 372,349 eligible records across 204 country-round cells, including 353,155 paired satisfaction responses and 339,587 complete adjustment records. Round 11 is primary: 47,836 paired responses across 30 countries. Its 2023/24 label accompanies a whole-source fieldwork range of March 11, 2023, to December 1, 2024; it does not measure 2026 opinion.
Weights, domains and covariates
Estimation uses the original ESS analysis weight, anweight, or the documented historical product pspwght * pweight where it is absent. Country weights are not renormalized to equal shares. Country, score, paired-response, complete-case and mode restrictions are domains of the eligible full survey designs. Excluded domain observations contribute zero linearized scores without deleting their sampling units from the variance design.
Adjustment adds age and age squared, source-coded binary gender, recorded education years, household financial-difficulty categories and self-reported unemployment as main activity. Activity codes 3 and 4 include unemployed respondents looking and not looking for work; this is not an ILO unemployment rate. Missing activity remains missing. Fractional education values, including 11.5 and 14.5 years in Round 2, are retained.
Covariate missingness is matched explicitly: the country-spline baseline and adjusted spline use the same 46,091 complete Round 11 records. This separates sample exclusion from added adjustment without making either comparison causal.
The prespecified mean model
A survey-weighted Gaussian identity-link model estimates the mean coded democratic-satisfaction response. Both scales are ordinal and bounded; their numeric coding does not establish equal spacing in underlying satisfaction. Ceiling effects and common-response style are possible contributors to the association or its shape, not mechanisms identified by these models.
The restricted, or natural, cubic basis retains a linear term and two nonlinear terms, with knots fixed at 0, 3, 7 and 10 before inspecting outcomes. Predictions are evaluated only at the eleven observed integer scores.
The primary model combines country-specific intercepts with a common slope and curvature. Selecting a country retains its intercept; it does not refit a country-only gradient. All fitted levels standardize nuisance predictors at their analysis-weighted means.
Writing the fitted mean as m(x), the registered contrast is C = [m(8) - m(5)] - [m(5) - m(2)], in democratic-satisfaction rating points. Negative C means a smaller fitted difference over 5 to 8 than over 2 to 5. The linear model forces C to zero. A joint Wald F test examines both nonlinear coefficients and is distinct from this one finite contrast. These tests concern smooth curvature; they do not test the location or nonexistence of a sharp threshold.
Variance and disclosure
Uncertainty uses full-design Taylor linearization, with strata and primary sampling units nested within country-round designs. Genuine-singleton and single-contributing-PSU domain adjustments follow the conventions independently checked against R survey 4.5. No independent-respondent covariance replaces the complex design.
Let D be occupied analysis-domain PSUs minus represented strata. Model residual degrees of freedom are D + 1 - model rank; nonpositive values are rejected, never floored to one. Observed-mean intervals use design degrees of freedom. Fitted means and finite contrasts use the full coefficient covariance and pointwise 95% t intervals, not simultaneous coverage. Separate model intervals do not test between-model differences.
Observed means below 50 responses are suppressed; displayed means with 50 to 99 are flagged for low precision. There are 640 suppressed and 303 flagged aggregates among 2,398 raw-score cells. Gaussian means and intervals are not clipped to 0-10. Negative lower limits in some early UK score cells express imprecision, not negative observed ratings.
Historical checks and verification
The eligible country counts in Rounds 1 to 11 are 7, 10, 8, 7, 20, 27, 21, 23, 29, 22 and 30. Only Finland and France span all eleven. The fixed recent comparison covers Rounds 9 to 11 in Belgium, Bulgaria, Switzerland, Estonia, Finland, France, the United Kingdom, Croatia, Hungary, Ireland, Iceland, Italy, Lithuania, Montenegro, the Netherlands, Norway, Portugal, Slovenia and Slovakia. These are repeated cross-sections, not individual trajectories.
Earlier waves, pooled and complete-case models, further adjustment, face-to-face interviews and the recent fixed-country sample are secondary checks. These checks do not rule out confounding, reverse causality or nonresponse bias. Original wording and source labels were checked, but national translations were not independently retranslated and measurement invariance is unestablished.
Two independently executed research runs produced byte-identical aggregate evidence. Reference checks against separately executed R survey 4.5 passed for all 69 fitted models, including coefficients and entire covariance matrices, 12,562 predictions and 320 raw-score mean references, at absolute tolerance 1e-9 and relative tolerance 1e-7. Derived floating-point outputs are serialized to ten significant digits; respondent inputs and counts are not rounded. Public evidence is aggregate-only.
Frozen ESS sources
The pinned releases are R1, edition 6.7, R2, 3.6, R3, 3.7, R4, 4.6, R5, 3.6, R6, 2.7, R7, 2.3, R8, 2.3, R9, 3.3, R10, 3.3 and R11, 4.2. The frozen source licenses specify ESS not-for-profit use terms for Rounds 1 to 7 and CC BY-NC-SA 4.0 for Rounds 8 to 11. The ESS Round 11 data record provides the primary release documentation.
Distribution extension: a separate exploratory question
Version 1.1.0 extends the unchanged 1.0.0 mean-model analysis. The extension was registered after the original mean results had been examined, so its new questions remain secondary and exploratory. They are not an independent confirmation of the original finding.
The extension reuses the same eleven source editions, question mappings, analysis weights and reviewed designs. It contains 204 national country-round scopes, eleven corresponding all-country scopes and the three recent fixed 19-country scopes. Holding those countries fixed does not also fix demographics or their population-weight shares. These are still repeated cross-sections.
Discrete probability mass and its denominator
Marginals and joint cells use respondents with both valid satisfaction answers. Conditional cells use the paired respondents at one economic score. The two marginals, complete 121-cell joint table and empirical cumulative probabilities are derived coherently, not fitted as unrelated visual summaries.
Probabilities use the original ESS analysis weights. Displayed respondent and event counts are unweighted support counts, not estimated population totals. The paired-response share is relative to the eligible design; the complete-case share is relative to the paired sample. Those response-coverage measures do not describe countries excluded because no reviewed sampling design was available.
Every variance retains the full relevant design, including zero contributions from observations outside a declared domain. Conditional-score variances use that score's own domain-singleton configuration; they are not a shortcut from the broader paired covariance. Interior probability intervals are pointwise 95% logit-transformed t intervals using positive domain-specific survey degrees of freedom. Standard errors are reported on the probability scale.
Domains with fewer than 50 respondents are suppressed, and 50-99 are flagged for low precision. Fewer than ten events or non-events receives a separate sparse-support warning. At an observed sample probability of zero or one, the point and counts remain visible but no zero-width population interval is invented. Missing, empty, suppressed and sample-boundary cases are distinct. These display rules are not a claim that response style or item nonresponse has been eliminated.
Ten cutoff models and a coherent target
Each binary outcome indicates whether the democratic-satisfaction response is at or below a cutoff from 0 through 9. The models use the same 46,091 complete Round 11 records, country intercepts, the three original fixed spline columns and the original additional covariates. There is no new outcome-selected breakpoint and no country or financial-strain interaction in this cutoff family.
For a selected reference population, economic satisfaction and its basis columns are set to each registered score while the other observed covariates remain fixed. Inverse-link predictions are averaged using that reference population's normalized original analysis weights. Averaging probabilities is not equivalent to evaluating the inverse link at mean covariates.
The references are the complete respondents of each included country, all 30 countries, and the existing recent 19-country set. The latter is a target population for the same 30-country fit, not a model refitted only to 19 countries. Reference sample size and full model sample size are reported separately.
Prediction variance uses the weighted average response-scale gradient and the full corrected coefficient covariance. Pointwise probability intervals use the model's residual survey degrees of freedom and a logit transformation. This uncertainty conditions on the specified empirical reference composition. The two economic-score changes and their difference use differences of the standardized gradients and the same covariance, not independent-model errors. Their signed uncertainty intervals are not clipped.
A target is displayed as a fitted CDF only if all ten unrounded cutoff probabilities are interior and ordered at all eleven economic scores. Any crossing withholds the complete target surface and its contrasts. No sorting, clipping, isotonic projection or selective omission repairs it. Separate pointwise interval endpoints need not be ordered, and they are not a simultaneous band. Cross-cutoff covariance is not available for constructing category-mass intervals by subtraction. A response at or below a chosen cutoff remains a performance rating, not a measure of opposition to democracy.
Two explicit tests of common shape
The country interaction model retains 47,836 paired Round 11 records and allows each of the 30 countries its own three economic-score basis coefficients. The joint common-shape test covers 87 interaction coefficients. National curvature comparisons come from this one full model and its covariance.
The financial-strain interaction model uses the same 46,091 complete records as the original adjusted model. It adds nine strain-by-basis interactions to country intercepts, strain main effects and the five demographic and main-activity control terms. All four profiles use the same fixed weighted covariate reference. Their support counts remain distinct from the complete model sample.
Both are Gaussian coded-rating models, so their coefficients and contrasts remain in democratic-satisfaction rating points. They do not become probabilities merely because they appear beside the cutoff analysis. Their pointwise intervals do not establish a ranking or an independent difference from the original shared-curve model.
Independent acceptance and preserved source identity
New estimates require pinned R survey 4.5 checks of all published empirical probabilities, full coefficient covariances, predictions, gradients, contrasts, sample identities and design degrees of freedom. The acceptance gate also checks rejected raw CDF targets privately. Two separately executed guarded research runs must produce identical aggregate bytes before import.
The derived outputs retain ten significant digits; respondent inputs are not rounded. Original v1 scientific files, code owners and accepted results remain unchanged. Only validated aggregates and receipts are distributed. Neither these research checks nor the native preview authorizes publication or deployment.
| Round | Edition | Observed fieldwork | Source |
|---|---|---|---|
| 1 | 6.7 | 2002-01-14 to 2003-12-15 | 10.21338/ess1e06_7 |
| 2 | 3.6 | 2004-04-03 to 2006-12-29 | 10.21338/ess2e03_6 |
| 3 | 3.7 | 2006-01-02 to 2007-12-19 | 10.21338/ess3e03_7 |
| 4 | 4.6 | 2008-01-01 to 2010-03-12 | 10.21338/ess4e04_6 |
| 5 | 3.6 | 2010-01-21 to 2012-02-05 | 10.21338/ess5e03_6 |
| 6 | 2.7 | 2012-01-31 to 2013-12-16 | 10.21338/ess6e02_7 |
| 7 | 2.3 | 2014-08-21 to 2015-12-02 | 10.21338/ess7e02_3 |
| 8 | 2.3 | 2016-08-22 to 2017-12-28 | 10.21338/ess8e02_3 |
| 9 | 3.3 | 2018-08-31 to 2020-01-31 | 10.21338/ess9e03_3 |
| 10 | 3.3 | 2020-09-18 to 2022-09-02 | 10.21338/ess10e03_3 |
| 11 | 4.2 | 2023-03-11 to 2024-12-01 | 10.21338/ess11e04_2 |
Distribution and interaction-model downloads / 1.1.0
The extension has its own accepted aggregate fingerprint, 0adfca2086c8d353. Original mean-model downloads remain at version 1.0.0.
Original questions and questionnaire pages
Economic satisfaction: On the whole how satisfied are you with the present state of the economy in [country]?
Democratic satisfaction: And on the whole, how satisfied are you with the way democracy works in [country]?
Both are coded 0, extremely dissatisfied, to 10, extremely satisfied. A common numerical range does not make the two questions the same construct.
- Round 1 original questionnaire: B30 and B32, PDF pages 12 and 13.
- Round 2 original questionnaire: B25 and B27, PDF pages 11 and 12.
- Round 3 original questionnaire: B25 and B27, PDF pages 11 and 12.
- Round 4 original questionnaire: B25 and B27, PDF pages 11 and 12.
- Round 5 original questionnaire: B25 and B27, PDF pages 10 and 11.
- Round 6 original questionnaire: B21 and B23, PDF pages 8 and 9.
- Round 7 original questionnaire: B21 and B23, PDF pages 9 and 10.
- Round 8 original questionnaire: B28 and B30, PDF pages 12 and 12.
- Round 9 original questionnaire: B28 and B30, PDF pages 11 and 12.
- Round 10 original questionnaire: B28 and B30, PDF pages 14 and 15.
- Round 11 original questionnaire: B28 and B30, PDF pages 12 and 12.
Analysis 1.0.0 / evidence fingerprint cb9015dccf7ff3b9. Two separately executed research runs match; original respondent records are not public. Published native edition; scientific execution and website release are reviewed separately.