=== Test: test_F_exploded_logit ===
Timestamp: 2026-01-05 11:33:47.692237

--- 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 1.05275891416278 0.0696282393399396 1.05275901988762 0.0696282180857885 0.75772293918278 0.757724688898562
T1_int 0 -0.00160996465322061 0.0124255392138408 0.0325413542921334 0.012425602747292 0.0325413521978116 0.381838417119737 0.38184039408564
T1_sigma 0.5 1.10136496124342 0.419456638755364 0.0513969494293 0.419456608866681 0.0513969115328675 -1.56708446977828 -1.56708620676192
T2_int 0 0.0102672952509104 0.0207787642326999 0.0270954725490831 0.0207788115152093 0.0270954710571943 0.766872184829384 0.766873972087383
T2_lambda 0.8 0.5 0.748919957962814 0.0352525239627813 0.748919936722499 0.0352525006741749 -1.44897545750525 -1.44897701725089
T2_sigma 0.5 0.907469725191246 0.49162051378712 0.0275653052377979 0.491620527193644 0.0275652865324474 -0.303986701420236 -0.303986421345276
c1_int 0.5 0.393125126847741 0.45066608628698 0.0785852505478574 0.450666600399171 0.0785852640138258 -0.627775738692547 -0.627769089026023
c1_beta1 0.8 0.785193799488574 0.72954779449809 0.0812294923009004 0.729547984771404 0.0812295042892227 -0.867322982161845 -0.867320511740993
c1_loading 0.6 0.5 0.566265989208561 0.0694317089645403 0.566266205610411 0.0694317140058292 -0.485858857495035 -0.485855705459848
c2_int -0.3 -0.472297241459335 -0.442326326403189 0.0648823768054694 -0.442326117688329 0.0648823828247818 -2.19360531180774 -2.19360189148243
c2_beta1 -0.5 -0.615390567785531 -0.62489564079189 0.074698530311024 -0.624895956489244 0.074698549932329 -1.6719959585799 -1.67199974567632
c2_loading 0.9 0.5 0.870183043262633 0.0782352709052381 0.870183253018262 0.0782352789934119 -0.381119108969182 -0.381116388480563

Likelihood comparison:
source loglik convergence
True parameters -3862.32549700003 NA
Est (default init) -3852.32052917367 0
Est (true init) -3852.32052917029 0

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