=== Test: test_C_measurement_plus_oprobit ===
Timestamp: 2026-04-22 10:07:23.894276

--- Gradient Check ---
Pass: TRUE
Max error: 5.77e-05

param_idx param_value fixed analytical finite_diff abs_error rel_error pass
1 1 TRUE -93.2919422600958 -93.2920379638672 9.57037714073294e-05 1.02585143915922e-06 TRUE
2 2 FALSE 11.6090301918271 11.6090545654297 2.43736025424823e-05 2.09953380829683e-06 TRUE
3 0.5 FALSE 97.9236458802624 97.9238128662109 0.000166985948510501 1.7052639559557e-06 TRUE
4 1.5 FALSE -47.0994975319929 -47.0994466145833 5.09174095668641e-05 1.08106173695677e-06 TRUE
5 1.2 FALSE -1.59484568154477 -1.59493764241536 9.1960870597596e-05 5.76579724197436e-05 TRUE
6 0.6 FALSE 138.723805772351 138.723770141602 3.56307496929276e-05 2.56846751328613e-07 TRUE
7 1 FALSE -50.1021378935308 -50.1020812988281 5.6594702684265e-05 1.12958785777206e-06 TRUE
8 0.8 FALSE -63.8303540200706 -63.8303375244141 1.64956565456009e-05 2.58429724569318e-07 TRUE
9 0.4 FALSE 268.654012364698 268.654037475586 2.51108879751882e-05 9.34692372805683e-08 TRUE
10 0.6 FALSE -2.7319543078555 -2.73199462890625 4.03210507449181e-05 1.47588323631004e-05 TRUE
11 0.8 FALSE -40.236300911996 -40.2362518310547 4.90809413591364e-05 1.21981892262776e-06 TRUE
12 -0.5 FALSE -139.143496532751 -139.1435546875 5.81547487001899e-05 4.17947844086624e-07 TRUE
13 1 FALSE -93.8311603614681 -93.8311920166016 3.1655133469144e-05 3.37362584752661e-07 TRUE

--- Hessian Check ---
Pass: TRUE
Max error: 1.14e-06

Summary of relative errors:
     Min.   1st Qu.    Median      Mean   3rd Qu.      Max. 
7.551e-11 1.363e-08 4.664e-08 1.144e-07 1.234e-07 1.142e-06 

--- 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 0.989184852403563 0.0665829459123733 0.989184852282989 0.0665829459145656 -0.162431196881405 -0.162431198686952
T1_int 2 2.01933078655461 2.05339374964736 0.0436917928634892 2.05339374959168 0.0436917928708769 1.22205444427943 1.22205444279831
T1_sigma 0.5 1.10566470672402 0.472178522775663 0.0221882854350589 0.472178522814113 0.0221882854418651 -1.25388134679289 -1.25388134467536
T2_int 1.5 1.4823198875274 1.52497592744704 0.0550071188694045 1.52497592740004 0.05500711887901 0.454049002390721 0.454049001456914
T2_lambda 1.2 0.5 1.25227038613416 0.041114238436628 1.25227038605583 0.0411142384419403 1.27134511356035 1.27134511149079
T2_sigma 0.6 1.38885382556158 0.601189312563919 0.0283226552917189 0.601189312755909 0.0283226553040874 0.0419915629968113 0.0419915697571374
T3_int 1 0.994788333041029 1.02244653647199 0.0362861223386461 1.02244653642671 0.0362861223442616 0.618598379361306 0.618598378017727
T3_lambda 0.8 0.5 0.811972914839803 0.0274510359249938 0.811972914851437 0.0274510359273951 0.43615530111568 0.436155301501325
T3_sigma 0.4 0.913047897734319 0.417855419686515 0.0185197424021672 0.417855419688682 0.0185197424070384 0.964128944062695 0.964128943926157
y_beta1 0.6 0.430368329721495 0.597174005171799 0.0664374513133353 0.597174005181117 0.0664374513142683 -0.0425361715769808 -0.0425361714361197
y_loading 0.8 0.5 0.721872766245389 0.0701480336276345 0.721872766276182 0.070148033630711 -1.11374802277897 -1.11374802229116
thresh1 -0.5 -0.786495898716848 -0.902390374517442 0.0786230424538418 -0.902390374486746 0.0786230424554044 -5.11797002454692 -5.11797002405478
thresh_incr1 1 0.828172618035052 0.92303038538104 0.0731441741178356 0.923030385391046 0.0731441741189646 -1.05230000266271 -1.05230000250967

Likelihood comparison:
source loglik convergence
True parameters -2162.99777049101 NA
Est (default init) -2128.34538654318 0
Est (true init) -2128.34538654318 0

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