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Table 3 Results of second simulation study (contd.)

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

\(N\)

\(J\)

\(K\)

\(L\)

\(\rho\)

\(\beta\)

\(\delta\)

\(\delta ^0\)

\(\delta^1\)

\(\beta^0\)

\(\beta ^1\)

3000

45

4

3

0.000

0.046

0.984

0.987

0.972

0.014

0.182

3000

70

5

2

0.000

0.021

0.994

0.993

0.997

0.007

0.077

3000

70

5

3

0.000

0.033

0.990

0.994

0.965

0.007

0.199

3000

45

4

3

0.250

0.060

0.974

0.975

0.967

0.027

0.199

3000

70

5

2

0.250

0.017

0.997

0.996

0.999

0.004

0.067

3000

70

5

3

0.250

0.047

0.979

0.984

0.952

0.018

0.230

3000

45

4

3

0.500

0.136

0.921

0.922

0.919

0.091

0.327

3000

70

5

2

0.500

0.040

0.978

0.975

0.991

0.025

0.098

3000

70

5

3

0.500

0.085

0.966

0.972

0.928

0.047

0.328

5000

45

4

3

0.000

0.040

0.986

0.987

0.980

0.013

0.153

5000

70

5

2

0.000

0.020

0.993

0.991

0.998

0.008

0.066

5000

70

5

3

0.000

0.025

0.993

0.995

0.979

0.005

0.155

5000

45

4

3

0.250

0.052

0.976

0.977

0.975

0.024

0.168

5000

70

5

2

0.250

0.012

0.997

0.996

1.000

0.003

0.049

5000

70

5

3

0.250

0.042

0.979

0.981

0.968

0.019

0.191

5000

45

4

3

0.500

0.137

0.916

0.914

0.926

0.093

0.319

5000

70

5

2

0.500

0.041

0.972

0.968

0.988

0.029

0.091

5000

70

5

3

0.500

0.075

0.964

0.967

0.946

0.041

0.297

  1. Values displayed for \(\beta\) parameters are the average, taken over all elements of the parameter, of the mean absolute error of estimation of each element over all replications. Values displayed for \(\delta\) parameters are the average, taken over all elements of the parameter, of the recovery accuracy of each element over all replications