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Table 3 Results of second simulation study

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

\(N\)

\(J\)

\(K\)

\(L\)

\(\rho\)

\(\gamma\)

\(\eta\)

\(R\)

\(\lambda\)

\(\alpha _n\)

 

3000

45

4

3

0.000

0.044

0.015

0.030

0.053

0.917

 

3000

70

5

2

0.000

 

0.009

0.026

0.051

0.976

 

3000

70

5

3

0.000

0.027

0.013

0.024

0.047

0.957

 

3000

45

4

3

0.250

0.058

0.024

0.053

0.080

0.846

 

3000

70

5

2

0.250

 

0.007

0.022

0.046

0.985

 

3000

70

5

3

0.250

0.056

0.024

0.053

0.064

0.843

 

3000

45

4

3

0.500

0.115

0.061

0.163

0.127

0.655

 

3000

70

5

2

0.500

 

0.017

0.067

0.076

0.914

 

3000

70

5

3

0.500

0.081

0.035

0.100

0.084

0.791

 

5000

45

4

3

0.000

0.040

0.014

0.026

0.050

0.907

 

5000

70

5

2

0.000

 

0.008

0.022

0.049

0.972

 

5000

70

5

3

0.000

0.025

0.011

0.020

0.044

0.946

 

5000

45

4

3

0.250

0.050

0.022

0.049

0.073

0.857

 

5000

70

5

2

0.250

 

0.005

0.015

0.041

0.993

 

5000

70

5

3

0.250

0.062

0.023

0.053

0.059

0.819

 

5000

45

4

3

0.500

0.121

0.064

0.167

0.126

0.620

 

5000

70

5

2

0.500

 

0.018

0.063

0.088

0.906

 

5000

70

5

3

0.500

0.084

0.036

0.099

0.087

0.756

 
  1. 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 each element over all replications. The values displayed for \(\alpha _n\) are the percentage of draws for which the vector \(\alpha _n\) was drawn correctly