Skip to main content

Table 7 Kolmogorov-Smirnov test for fit to the limiting distribution

From: Testing the Rasch model with the conditional likelihood ratio test: sample size requirements and bootstrap algorithms

  

fix

free

nv

k

n

D

p

D

p

D

p

5

100

0.0700

< 0.0001

0.0608

< 0.0001

0.0155

< 0.0001

5

250

0.0256

< 0.0001

0.0212

< 0.0001

0.0063

< 0.0001

5

500

0.0127

< 0.0001

0.0108

< 0.0001

0.0039

0.0052

5

750

0.0087

< 0.0001

0.0071

< 0.0001

0.0033

0.0241

5

1000

0.0063

< 0.0001

0.0062

< 0.0001

0.0040

0.0037

5

2500

0.0036

0.0123

0.0033

0.0288

0.0037

0.0096

5

5000

0.0028

0.0842

0.0038

0.0060

0.0061

< 0.0001

10

100

0.0521

< 0.0001

0.0499

< 0.0001

0.0188

< 0.0001

10

250

0.0135

< 0.0001

0.0139

< 0.0001

0.0072

< 0.0001

10

500

0.0093

< 0.0001

0.0076

< 0.0001

0.0061

< 0.0001

10

750

0.0043

0.0013

0.0061

< 0.0001

0.0046

0.0005

10

1000

0.0037

0.0074

0.0019

0.4893

0.0028

0.0971

10

2500

0.0035

0.0150

0.0061

< 0.0001

0.0044

0.0007

10

5000

0.0044

0.0009

0.0039

0.0044

0.0027

0.1048

15

100

0.0447

< 0.0001

0.0421

< 0.0001

0.0243

< 0.0001

15

250

0.0104

< 0.0001

0.0126

< 0.0001

0.0088

< 0.0001

15

500

0.0079

< 0.0001

0.0060

< 0.0001

0.0060

< 0.0001

15

750

0.0048

0.0002

0.0042

0.0017

0.0026

0.1301

15

1000

0.0049

0.0001

0.0043

0.0011

0.0069

< 0.0001

15

2500

0.0028

0.0926

0.0026

0.1269

0.0054

< 0.0001

15

5000

0.0019

0.4897

0.0022

0.2775

0.0030

0.0593