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Fit of Responses to the Model I—Item Characteristic Curve and Chi-Square Tests of Fit

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A Course in Rasch Measurement Theory

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Abstract

Fit of responses to the model can be assessed graphically and also statistically. Assessing fit has two aspects: assessing person fit and item fit. Comparing observed proportions in class intervals with the ICC is a graphical test of item fit. The \( \chi^{2} \)test performs the same comparison for an item statistically.

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Reference

  • Andrich, D., Sheridan, B. E., & Luo, G. (2018). RUMM2030: Rasch unidimensional models for measurement. Interpreting RUMM2030 Part III Estimation and statistical techniques. Perth, Western Australia: RUMM Laboratory.

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Further Reading

  • Andrich, D. (1988). Rasch models for measurement (pp. 63–67). Newbury Park, CA: Sage.

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  • Masters, G. N. (1988). Item discrimination: When more is worse. Journal of Educational Measurement,25(1), 15–29.

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Author information

Authors and Affiliations

  1. Graduate School of Education, The University of Western Australia, Crawley, WA, Australia

    David Andrich & Ida Marais

Authors
  1. David Andrich
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  2. Ida Marais
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Corresponding author

Correspondence to David Andrich .

Exercises

Exercises

  • Exercise 2: Basic analysis of dichotomous andpolytomousresponses in Appendix C.

  • Exercise 3: Advanced analysis of dichotomous responses Part A in Appendix C.

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Andrich, D., Marais, I. (2019). Fit of Responses to the Model I—Item Characteristic Curve and Chi-Square Tests of Fit. In: A Course in Rasch Measurement Theory. Springer Texts in Education. Springer, Singapore. https://doi.org/10.1007/978-981-13-7496-8_13

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  • DOI: https://doi.org/10.1007/978-981-13-7496-8_13

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-7495-1

  • Online ISBN: 978-981-13-7496-8

  • eBook Packages: EducationEducation (R0)

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