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Assessment of Person Fit for Mixed-Format Tests

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  • Sandip Sinharay

    (Pacific Metrics Corporation)

Abstract

Person-fit assessment may help the researcher to obtain additional information regarding the answering behavior of persons. Although several researchers examined person fit, there is a lack of research on person-fit assessment for mixed-format tests. In this article, the l z statistic and the ζ 2 statistic, both of which have been used for tests with only dichotomous items or with only polytomous items, were modified for use with mixed-format tests. In a detailed simulation, the l z and ζ 2 statistics are found to be conservative under a (frequentist) asymptotic normal approximation. However, the use of the statistics along with the (Bayesian) posterior predictive model checking method leads to a larger power. The suggested approaches are applied to an operational data set. The approaches appear to be satisfactory tools for assessing person fit for mixed-format tests.

Suggested Citation

  • Sandip Sinharay, 2015. "Assessment of Person Fit for Mixed-Format Tests," Journal of Educational and Behavioral Statistics, , vol. 40(4), pages 343-365, August.
    • Handle: RePEc:sae:jedbes:v:40:y:2015:i:4:p:343-365
    DOI: 10.3102/1076998615589128
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    References listed on IDEAS

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    5. Jean-Paul Fox & Cees Glas, 2003. "Bayesian modeling of measurement error in predictor variables using item response theory," Psychometrika, Springer;The Psychometric Society, vol. 68(2), pages 169-191, June.
    6. C. Glas & Anna Dagohoy, 2007. "A Person Fit Test For Irt Models For Polytomous Items," Psychometrika, Springer;The Psychometric Society, vol. 72(2), pages 159-180, June.
    7. Kikumi Tatsuoka, 1984. "Caution indices based on item response theory," Psychometrika, Springer;The Psychometric Society, vol. 49(1), pages 95-110, March.
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