Assessment of Person Fit for Mixed-Format Tests

Sandip Sinharay
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Sandip Sinharay: Pacific Metrics Corporation

Journal of Educational and Behavioral Statistics, 2015, vol. 40, issue 4, 343-365

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.

Keywords: three-parameter logistic model; generalized partial credit model; item response theory model fit; posterior predictive model checking (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:40:y:2015:i:4:p:343-365

DOI: 10.3102/1076998615589128

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