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Asymptotic null distribution of person fit statistics with estimated person parameter

Abstract:
Person fit statistics are considered for dichotomous item response models. The asymptotic null distribution is derived for statistics which are linear in the item responses, and in which the ability parameter is replaced by an estimate. This allows the asymptotically correct standardization of linear person fit statistics with estimated ability parameter. The fact that the ability parameter is estimated usually decreases the asymptotic variance.
Publication status:
Published

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Publisher copy:
10.1007/BF02294437

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Institution:
University of Oxford
Department:
Oxford, MPLS, Statistics
Role:
Author
Journal:
PSYCHOMETRIKA
Volume:
66
Issue:
3
Pages:
331-342
Publication date:
2001-09-05
DOI:
EISSN:
1860-0980
ISSN:
0033-3123
URN:
uuid:702e55eb-1442-4652-9068-07aeef369a9b
Source identifiers:
97790
Local pid:
pubs:97790

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