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Refining the asymptotically correct standardization of person‐fit statistics for mixed‐format tests

Bibliographic Data

ID22410157
AuthorsSandip Sinharay (0000-0003-4491-8510, ETS Research Institute Princeton New Jersey USA, corresponding author)
Year2026
Publication date2026-04-20
Open AccessYes
TypeARTICLE
VenueBritish Journal of Mathematical and Statistical Psychology (JOURNAL)
Journal identifiersISSN: 0007-1102 • E-ISSN: 2044-8317
PublisherWiley (PUBLISHER • GB)
DOI10.1111/bmsp.70049
PMID42003850
OpenAlexW7154954264
LanguageEN
References cited48

Sinharay ( Psychometrika , 2016, 81, 992) suggested the asymptotically correct standardized version of a class of person‐fit statistics for mixed‐format tests. This paper provides an alternative and arguably simpler derivation of the standardization. The derivation leads to several benefits including a simpler formula of the (asymptotically correct) standardized person‐fit statistics and a theoretical explanation of simulation results reported in literature on person‐fit statistics. This paper promises to make several person‐fit statistics for mixed‐format tests more accessible to researchers and practitioners.

Class (philosophy) · Mathematical statistics · Refining (metallurgy) · Standardization · Statistical hypothesis testing · Summary statistics · Behavioral and Psychological Studies · Medical Education and Admissions · Psychometric Methodologies and Testing

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