Abstract
Using the item response model as developed on the multinomial distribution, asymptotic variances are obtained for residuals associated with response patterns and first-, and second-order marginal frequencies of manifest variables. When the model does not fit well, an examination of these residuals may reveal the source of the poor fit. Finally, a limited-information test of fit for the model is developed by using residuals defined for the first-, and second-order marginals. Model evaluation based on residuals for these marginals is particularly useful when the response pattern frequencies are sparse.
Original language | English (US) |
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Pages (from-to) | 509-528 |
Number of pages | 20 |
Journal | Psychometrika |
Volume | 61 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1996 |
Keywords
- Asymptotic standard error
- Factor analysis
- Latent trait
- Limited information
ASJC Scopus subject areas
- General Psychology
- Applied Mathematics