CHISQUARE= in IFILE= and PFILE=

In IFILE= and PFILE=, report Infit and Outfit fit statistics as

CHISQUARE=No

Mean-square fit statistics = Chi-square statistics divided by their degrees of freedom.

CHISQUARE=Yes

Chi-square fit statistics

The chi-square degrees of freedom are reported in IFILE=, PFILE= columns INDF and OUTDF. The two-sided chi-square probabilities are reported adjacent to the chi-squares when LOCAL=Prob

More at Chi-squares, d.f., probabilities and Mean-squares

 

Computation: Winsteps and Facets usually report mean-square statistics. These are chi-squares divided by their degrees of freedom. Now the chi-squares and their d.f. are also reported. For the computation of the mean-squares and d.f., see www.rasch.org/rmt/rmt34e.htm together with www.rasch.org/rmt/rmt162g.htm

 

So that qi2 = 2 / d.f.

And chi-square = mean-square * d.f.

 

Example:

LOCAL=Prob

CHISQUARE=Yes

IFILE=if.txt

 

Then, in file: if.txt:

 

Infit Chi-square is 6.77 with 7.52 d.f., 2-sided probability = .9809

 

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Rasch Books and Publications
Invariant Measurement: Using Rasch Models in the Social, Behavioral, and Health Sciences, 2nd Edn, 2024 George Engelhard, Jr. & Jue Wang Applying the Rasch Model (Winsteps, Facets) 4th Ed., Bond, Yan, Heene Advances in Rasch Analyses in the Human Sciences (Winsteps, Facets) 1st Ed., Boone, Staver Advances in Applications of Rasch Measurement in Science Education, X. Liu & W. J. Boone Rasch Analysis in the Human Sciences (Winsteps) Boone, Staver, Yale
Introduction to Many-Facet Rasch Measurement (Facets), Thomas Eckes Statistical Analyses for Language Testers (Facets), Rita Green Invariant Measurement with Raters and Rating Scales: Rasch Models for Rater-Mediated Assessments (Facets), George Engelhard, Jr. & Stefanie Wind Aplicação do Modelo de Rasch (Português), de Bond, Trevor G., Fox, Christine M Appliquer le modèle de Rasch: Défis et pistes de solution (Winsteps) E. Dionne, S. Béland
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Other Rasch-Related Resources: Rasch Measurement YouTube Channel
Rasch Measurement Transactions & Rasch Measurement research papers - free An Introduction to the Rasch Model with Examples in R (eRm, etc.), Debelak, Strobl, Zeigenfuse Rasch Measurement Theory Analysis in R, Wind, Hua Applying the Rasch Model in Social Sciences Using R, Lamprianou El modelo métrico de Rasch: Fundamentación, implementación e interpretación de la medida en ciencias sociales (Spanish Edition), Manuel González-Montesinos M.
Rasch Models: Foundations, Recent Developments, and Applications, Fischer & Molenaar Probabilistic Models for Some Intelligence and Attainment Tests, Georg Rasch Rasch Models for Measurement, David Andrich Constructing Measures, Mark Wilson Best Test Design - free, Wright & Stone
Rating Scale Analysis - free, Wright & Masters
Virtual Standard Setting: Setting Cut Scores, Charalambos Kollias Diseño de Mejores Pruebas - free, Spanish Best Test Design A Course in Rasch Measurement Theory, Andrich, Marais Rasch Models in Health, Christensen, Kreiner, Mesba Multivariate and Mixture Distribution Rasch Models, von Davier, Carstensen
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