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Table 1 RUMM2030 and R Output

From: A comparison of the polytomous Rasch analysis output of RUMM2030 and R (ltm/eRm/TAM/lordif)

   

Item Fit Residuala

Person Fit Residuala

Chi-Squareb

PSIc

UNID T-Testd

Mean

SD

Mean

SD

Value (DF)

p

With

without

RUMM 2030

PAIN

Initial

−0.8398

1.7301

−0.4845

0.9770

24.391 (20)

0.4969

0.9218

0.9135

4.6800%

Final

−0.5336

1.1746

−0.4492

0.9127

18.5992 (20)

0.5480

0.8781

0.8644

2.3500%

SPECIFIC

Initial

−0.6052

2.1366

−0.4538

1.0702

54.0898 (30)

0.0045

0.9220

0.9033

4.7800%

Final

−0.6266

1.5595

−0.4497

0.9686

50.3341 (20)

0.0002

0.9016

0.8699

3.6800%

USUAL

Initial

−0.4119

1.7207

−0.4544

0.9432

23.1212 (20)

0.2829

0.9208

0.8304

6.1600%

Final

−0.3182

1.8380

−0.4642

1.0076

32.1662 (20)

0.0416

0.9217

0.8888

5.0700%

   

Item Fit Residuala

Person Fit Residuala

  

Cronbach’s Alphac

Martin-Loefd

Mean

SD

Mean

SD

Value (DF)

p

R

PAIN

Initial

1.63322

1.6195

−0.0447

1.89779

  

0.922

370.171(599)

1.0000

Final

1.7807

1.6219

0.0067

1.7558

  

0.872

239.851(339)

1.0000

SPECIFIC

Initial

1.6092

0.80491

0.12174

1.37694

  

0.92

392.039(899)

1.0000

Final

1.7810

1.0349

0.1273

1.3960

  

0.8980

246.659(399)

1.0000

USUAL

Initial

2.73459

1.43031

0.27866

1.84451

  

0.921

216.992(399)

1.0000

Final

2.9494

1.9276

0.2744

2.0210

  

0.9200

ERROR

n/a

  1. a The fit residuals should have mean of 0 ± 2.5 and a standard deviation of 1 ± 2.5
  2. b The Chi-Square statistic should be small and statistically non-significant
  3. c A Person Separation Index (PSI) or Cronbach’s Alpha should be > 0.70 to be statistically reliable
  4. d Unidimensionality is present if the percentage of statistically significant t-tests is < 5% or if the result of the Martin-Loef test is not significant