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1/Users/simon-pierreboucher/Desktop/UQO/Recherche/Recherche-UQO/economie/social-compression-hypothesis/.venv/lib/python3.12/site-packages/statsmodels/discrete/conditional_models.py:80: UserWarning: Dropped 37 groups and 2823 observations for having no within-group variance2  warnings.warn(msg)3/Users/simon-pierreboucher/Desktop/UQO/Recherche/Recherche-UQO/economie/social-compression-hypothesis/.venv/lib/python3.12/site-packages/statsmodels/base/model.py:607: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals4  warnings.warn("Maximum Likelihood optimization failed to "5=== PRIMARY ===6                                                                                       model          term   coef    se     p       n  events        error7                                             C1 primary: Y456 ~ P + X + region FE + year FE    P_modern_z  0.392 0.089 0.000 14637.0  2692.0          NaN8                                                                     C2: Y456 ~ P + FE only    P_modern_z  0.723 0.080 0.000 15687.0  2981.0          NaN9                       C3: Y456 ~ P + K + X + FE (reparametrization of B5: beta_P = beta_D)    P_modern_z  0.225 0.094 0.017 14637.0  2692.0          NaN10                       C3: Y456 ~ P + K + X + FE (reparametrization of B5: beta_P = beta_D)    K_modern_z -0.535 0.150 0.000 14637.0     NaN          NaN11                       C3: Y456 ~ P + K + X + FE (reparametrization of B5: beta_P = beta_D)           NaN    NaN   NaN   NaN     NaN     NaN 'D_modern_z'12                                                                B1 baseline population only    D_modern_z  0.122 0.071 0.088 14754.0  2710.0          NaN13                                                                  B2 baseline capacity only    K_modern_z -0.631 0.131 0.000 15675.0  2957.0          NaN14                                                       B3 baseline development (gdppc) only     log_gdppc -0.582 0.096 0.000 15862.0  2980.0          NaN15                                                                    B4 baseline persistence       y456_b5  0.246 0.138 0.076 15806.0  2968.0          NaN16                                                                      B5 D and K separately    D_modern_z  0.166 0.070 0.017 14637.0  2692.0          NaN17                                                                      B5 D and K separately    K_modern_z -0.701 0.139 0.000 14637.0     NaN          NaN18                             B5 Wald test of beta_D + beta_K = 0 (restriction implied by P)           D+K -0.535 0.150 0.000 14637.0     NaN          NaN19              Placebo: P with polyarchy in place of K (polyarchy not separately controlled)   P_placebo_z  0.202 0.058 0.000 14754.0  2710.0          NaN20                           Placebo comparison: P_main with the same controls as the placebo    P_modern_z  0.448 0.082 0.000 14676.0  2706.0          NaN21Negative control: past events (t-5..t-1) ~ P_t + gdppc + polyarchy + FE (no duration terms)    P_modern_z  0.436 0.098 0.000 14608.0  2757.0          NaN22  Forward comparison for the negative control: future events ~ P_t + gdppc + polyarchy + FE    P_modern_z  0.475 0.099 0.000 14637.0  2692.0          NaN23                                              C4: conditional logit, country FE + decade FE    P_modern_z  1.329 0.099 0.000 14637.0  2692.0          NaN24                                                  C5: linear probability, country + year FE P_modern_z_dm  0.109 0.032 0.001 14637.0  2692.0          NaN2526=== OOS wins ===27 model       baseline  folds  win_share  mean_diff  scheme     metric28 C1 P        B0 FE+X      3      0.667      0.003 forward oos_loglik29 C1 P        B0 FE+X      3      1.000      0.009 forward        auc30 C1 P           B1 D      3      0.667      0.002 forward oos_loglik31 C1 P           B1 D      3      1.000      0.008 forward        auc32 C1 P           B2 K      3      0.333      0.022 forward oos_loglik33 C1 P           B2 K      3      0.333      0.007 forward        auc34 C1 P B4 persistence      3      0.667      0.005 forward oos_loglik35 C1 P B4 persistence      3      1.000      0.014 forward        auc36 C1 P         B5 D+K      3      0.333      0.022 forward oos_loglik37 C1 P         B5 D+K      3      0.333      0.006 forward        auc38 C1 P        B0 FE+X      6      0.667     -0.003    loro oos_loglik39 C1 P        B0 FE+X      6      0.833      0.007    loro        auc40 C1 P           B1 D      6      0.667     -0.001    loro oos_loglik41 C1 P           B1 D      6      1.000      0.007    loro        auc42 C1 P           B2 K      6      0.167     -0.013    loro oos_loglik43 C1 P           B2 K      6      0.500      0.001    loro        auc44 C1 P B4 persistence      6      0.500     -0.005    loro oos_loglik45 C1 P B4 persistence      6      0.833      0.007    loro        auc46 C1 P         B5 D+K      6      0.167     -0.011    loro oos_loglik47 C1 P         B5 D+K      6      0.500     -0.001    loro        auc4849=== OOS summary ===50  scheme          model  oos_loglik   auc  brier  calibration_slope51forward        B0 FE+X      -0.425 0.722  0.137              0.79052forward           B1 D      -0.424 0.724  0.137              0.78753forward           B2 K      -0.444 0.724  0.146              0.77254forward B4 persistence      -0.427 0.718  0.138              0.78155forward         B5 D+K      -0.443 0.726  0.146              0.76656forward           C1 P      -0.422 0.732  0.136              0.79057   loro        B0 FE+X      -0.527 0.671  0.142              0.39658   loro           B1 D      -0.528 0.671  0.143              0.39659   loro           B2 K      -0.517 0.677  0.140              0.39560   loro B4 persistence      -0.525 0.671  0.142              0.40461   loro         B5 D+K      -0.519 0.679  0.141              0.39362   loro           C1 P      -0.530 0.678  0.143              0.3926364=== H4 === {65 "folds": 15,66 "hinge_beats_linear_share": 0.7333333333333333,67 "spline_beats_linear_share": 0.8,68 "mean_ll_linear": -0.4113670936056255,69 "mean_ll_hinge": -0.41084128380745744,70 "mean_ll_spline": -0.40877957013035415,71 "median_knot": -0.0808585402068686172}7374=== H5 ===75                          model  coef    se     p     n  within_block_coef  within_block_se  within_block_n  within_block_events76      H5 leave-region-out: 1.0 0.284 0.094 0.003 13252              1.034            0.436            1385                  13177      H5 leave-region-out: 2.0 0.318 0.100 0.001 12017              0.517            0.001            2620                  77378      H5 leave-region-out: 3.0 0.311 0.097 0.001 13175              0.441            0.354            1462                  28179      H5 leave-region-out: 4.0 0.310 0.117 0.008 11363              0.407            0.163            3274                  74780      H5 leave-region-out: 5.0 0.279 0.096 0.004 10717              0.804            0.314            3920                  35081      H5 leave-region-out: 6.0 0.462 0.096 0.000 12661              0.246            0.201            1976                  41082H5 leave-period-out: 1900-1945 0.407 0.101 0.000 12616              0.256            0.213            2021                  55483H5 leave-period-out: 1946-1989 0.367 0.115 0.001  8927              0.436            0.124            5710                 129584    H5 leave-period-out: 1990+ 0.409 0.108 0.000  9285              0.346            0.161            5352                  62685 H5 leave-period-out: pre-1900 0.388 0.091 0.000 13083              0.621            0.287            1554                  2178687=== ROBUSTNESS ===88                                                                             model                   term    coef     se      p     n  events  oster_beta_full  oster_beta_short  partial_r2_P  robustness_value89                                                                   R: horizon h=1             P_modern_z  0.3214 0.0908 0.0004 14635   902.0              NaN               NaN           NaN               NaN90                                                                   R: horizon h=3             P_modern_z  0.3802 0.0874 0.0000 14636  1911.0              NaN               NaN           NaN               NaN91                                                                  R: horizon h=10             P_modern_z  0.4484 0.0995 0.0000 14639  4143.0              NaN               NaN           NaN               NaN92                                                               R: component y4_f5             P_modern_z  1.0157 0.1935 0.0000 10279   566.0              NaN               NaN           NaN               NaN93                                                               R: component y5_f5             P_modern_z  0.1926 0.1369 0.1594 10853  1460.0              NaN               NaN           NaN               NaN94                                                               R: component y6_f5             P_modern_z  0.2401 0.0937 0.0104 14636  2068.0              NaN               NaN           NaN               NaN95                                                                       R: K = PC1         P_modern_pc1_z  0.3915 0.0896 0.0000 14637  2692.0              NaN               NaN           NaN               NaN96                                                      R: standardized within year P_modern_within_year_z  0.4037 0.0909 0.0000 14637  2692.0              NaN               NaN           NaN               NaN97                                                    R: D = (log pop + log area)/2        P_modern_area_z  0.3459 0.0980 0.0004 11735  2359.0              NaN               NaN           NaN               NaN98                                                                  R: years ≥ 1900             P_modern_z  0.3885 0.0913 0.0000 13083  2475.0              NaN               NaN           NaN               NaN99                                                      R: polyarchy not controlled             P_modern_z  0.4477 0.0820 0.0000 14676  2706.0              NaN               NaN           NaN               NaN100                                                         R: + persistence control             P_modern_z  0.3885 0.0885 0.0000 14598  2682.0              NaN               NaN           NaN               NaN101Sensitivity (LPM): Oster bias-adjusted β at Rmax=1.3·R² (δ=1); Cinelli–Hazlett RV             P_modern_z -0.0303    NaN    NaN 14637     NaN           0.0367            0.0819        0.0051            0.0689102
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