A restricted latent class model with polytomous attributes and respondent-level covariates

Wayman, Eric Alan; Culpepper, Steven Andrew; Douglas, Jeff; Bowers, Jesse

doi:10.1007/s41237-025-00271-8

Table 2 Results of first simulation study

From: A restricted latent class model with polytomous attributes and respondent-level covariates

\(N\)	\(J\)	\(K\)	\(L\)	\(\rho\)	\(\gamma\)	\(\eta\)	\(R\)	\(\lambda\)	\(\alpha _n\)
500	15	2	2	0.000		0.014	0.031	0.079	0.995
500	15	2	3	0.000	0.068	0.030	0.062	0.126	0.936
500	25	3	2	0.000		0.014	0.043	0.074	0.993
500	25	3	3	0.000	0.066	0.020	0.037	0.083	0.948
500	45	4	2	0.000		0.016	0.052	0.082	0.986
500	15	2	2	0.250		0.014	0.030	0.075	0.996
500	15	2	3	0.250	0.061	0.017	0.023	0.071	0.992
500	25	3	2	0.250		0.015	0.041	0.081	0.992
500	25	3	3	0.250	0.105	0.041	0.082	0.106	0.814
500	45	4	2	0.250		0.015	0.042	0.078	0.998
500	15	2	2	0.500		0.015	0.026	0.076	0.996
500	15	2	3	0.500	0.060	0.018	0.022	0.071	0.991
500	25	3	2	0.500		0.042	0.178	0.175	0.878
500	25	3	3	0.500	0.433	0.078	0.281	0.229	0.365
500	45	4	2	0.500		0.031	0.120	0.138	0.872
1500	15	2	2	0.000		0.008	0.019	0.051	0.996
1500	15	2	3	0.000	0.042	0.019	0.039	0.087	0.953
1500	25	3	2	0.000		0.008	0.025	0.052	0.996
1500	25	3	3	0.000	0.039	0.012	0.021	0.057	0.967
1500	45	4	2	0.000		0.012	0.035	0.063	0.975
1500	15	2	2	0.250		0.008	0.016	0.052	0.996
1500	15	2	3	0.250	0.034	0.009	0.014	0.047	0.993
1500	25	3	2	0.250		0.008	0.021	0.053	0.996
1500	25	3	3	0.250	0.082	0.032	0.070	0.087	0.834
1500	45	4	2	0.250		0.008	0.026	0.054	0.998
1500	15	2	2	0.500		0.008	0.014	0.053	0.997
1500	15	2	3	0.500	0.031	0.010	0.013	0.052	0.992
1500	25	3	2	0.500		0.033	0.146	0.138	0.897
1500	25	3	3	0.500	0.462	0.078	0.295	0.243	0.328
1500	45	4	2	0.500		0.025	0.093	0.119	0.859
3000	15	2	2	0.000		0.006	0.013	0.040	0.996
3000	15	2	3	0.000	0.047	0.025	0.064	0.115	0.912
3000	25	3	2	0.000		0.006	0.017	0.045	0.997
3000	25	3	3	0.000	0.025	0.008	0.015	0.042	0.984
3000	45	4	2	0.000		0.009	0.027	0.053	0.977
3000	15	2	2	0.250		0.006	0.013	0.041	0.996
3000	15	2	3	0.250	0.026	0.007	0.011	0.038	0.993
3000	25	3	2	0.250		0.006	0.017	0.046	0.993
3000	25	3	3	0.250	0.091	0.032	0.066	0.084	0.797
3000	45	4	2	0.250		0.006	0.021	0.047	0.995
3000	15	2	2	0.500		0.006	0.010	0.043	0.997
3000	15	2	3	0.500	0.022	0.007	0.008	0.040	0.992
3000	25	3	2	0.500		0.038	0.179	0.166	0.864
3000	25	3	3	0.500	0.400	0.062	0.296	0.202	0.390
3000	45	4	2	0.500		0.016	0.060	0.081	0.911

Values displayed for all columns except \(\alpha _n\) are the average, taken over all elements of the parameter, of the mean absolute error of estimation of that element over all replications. The values displayed for \(\alpha _n\) are the percentage of draws for which the vector \(\alpha _n\) was drawn correctly

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