The S- statistic (Orlando & Thissen, 2000) is popular among researchers and practitioners who are interested in the assessment of item fit. However, the statistic suffers from the Chernoff-Lehmann problem (Chernoff & Lehmann, 1954) and hence does not have a known asymptotic null distribution. This paper suggests a modified version of the S- statistic that is based on the modified Rao-Robson statistic (Rao & Robson, 1974). A simulation study and a real data analyses demonstrate that the use of the modified statistic instead of the S- statistic would lead to fewer items being flagged for misfit.
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| http://dx.doi.org/10.1177/01466216221108077 | DOI Listing |
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