=== Test: test_F_exploded_logit ===
Timestamp: 2026-01-30 17:48:33.819106

--- Gradient Check ---
Pass: TRUE
Max error: 3.18e-04

param_idx param_value fixed analytical finite_diff abs_error rel_error pass
1 1 TRUE -79.1009178836151 -79.1007080078125 0.000209875802624993 2.65327337657033e-06 TRUE
2 0 FALSE -6.1712341046934 -6.17132568359375 9.15789003510525e-05 1.4839421065479e-05 TRUE
3 0.5 FALSE 78.8685834975551 78.8687286376953 0.00014514014024769 1.84027488149873e-06 TRUE
4 0 FALSE 41.284080610193 41.2840881347656 7.52457264496798e-06 1.8226326376412e-07 TRUE
5 0.8 FALSE -120.622735963735 -120.622573852539 0.000162111195621151 1.343954041466e-06 TRUE
6 0.5 FALSE -40.2928676450461 -40.2929840087891 0.000116363742947101 2.88794056359089e-06 TRUE
7 0.5 FALSE 2.75387198112696 2.75398254394531 0.000110562818357085 4.01465211172669e-05 TRUE
8 0.8 FALSE -7.85866061849183 -7.85870361328125 4.29947894184934e-05 5.4709773436209e-06 TRUE
9 0.6 FALSE -0.9368522101792 -0.936553955078125 0.000298255101075395 0.00031846013724913 TRUE
10 -0.3 FALSE -34.4009806705629 -34.4008178710938 0.000162799469194397 4.7324301940854e-06 TRUE
11 -0.5 FALSE -19.6218904885285 -19.6219787597656 8.82712371357286e-05 4.49858998505933e-06 TRUE
12 0.9 FALSE -9.49749078317825 -9.49752807617188 3.72929936265365e-05 3.9265999876431e-06 TRUE

--- Estimation Comparison ---
Default init converged: TRUE
True init converged: TRUE
Default estimates reasonable: TRUE
True init estimates reasonable: TRUE

Parameter estimates:
parameter true_value default_init est_default se_default est_true_init se_true_init z_default z_true_init
f_var 1 1 1.05276482201138 0.0771282218406233 1.05276482231068 0.0771282216654045 0.684118222256116 0.684118227690836
T1_int 0 -0.00160996465322061 0.0124271013108137 0.0326772836350036 0.0124271013647996 0.0326772836176975 0.380297868379179 0.38029787023268
T1_sigma 0.5 1.10136496124342 0.419453741673392 0.0545904341500234 0.419453741422491 0.0545904339748576 -1.47546469598051 -1.47546470531093
T2_int 0 0.0102672952509104 0.0207799059463301 0.0271709417526899 0.020779905985576 0.0271709417423445 0.764784163002848 0.764784164738448
T2_lambda 0.8 0.5 0.748917952110079 0.0373757658745343 0.748917951941107 0.0373757657578842 -1.3667157500236 -1.36671575881004
T2_sigma 0.5 0.907469725191246 0.491621842442674 0.0288697624534816 0.491621842573786 0.0288697623625691 -0.290205282112254 -0.290205278484605
c1_int 0.5 0.393125126847741 0.450686910437688 0.066847528503214 0.450686910468925 0.066847528500051 -0.737695030264893 -0.73769502983252
c1_beta1 0.8 0.785193799488574 0.729568087022622 0.0699913230625388 0.729568087016083 0.069991323061953 -1.00629492193547 -1.00629492203733
c1_loading 0.6 0.5 0.566269722482493 0.0754746243438968 0.566269722359463 0.0754746243019584 -0.446908849308301 -0.446908851186712
c2_int -0.3 -0.472297241459335 -0.442324926916289 0.071985338957018 -0.442324926859647 0.0719853389473372 -1.97713769190238 -1.97713769138141
c2_beta1 -0.5 -0.615390567785531 -0.624895362586366 0.0705014692768629 -0.624895362583145 0.0705014692758147 -1.77152850667403 -1.77152850665468
c2_loading 0.9 0.5 0.870181668678597 0.0843540498989893 0.870181668528484 0.0843540498459852 -0.353490216025303 -0.353490218026985

Likelihood comparison:
source loglik convergence
True parameters -3862.32549700003 NA
Est (default init) -3852.32052907682 0
Est (true init) -3852.32052907683 0

--- Overall Result ---
Test passed: TRUE
