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Estimating Item Parameters and Latent Ability when Responses are Scored in Two or More Nominal Categories

Bock, R. Darrell·1972·Psychometrika

Abstract

A multivariate logistic latent trait model for items scored in two or more nominal categories is proposed. Statistical methods based on the model provide 1) estimation of two item parameters for each response alternative of each multiple choice item and 2) recovery of information from “wrong” responses when estimating latent ability. An application to a large sample of data for twenty vocabulary items shows excellent fit of the model according to a chi-square criterion. Item and test information curves are compared for estimation of ability assuming multiple category and dichotomous scoring of these items. Multiple scoring proves substantially more precise for subjects of less than median ability, and about equally precise for subjects above the median.

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Metadata

Authors
Bock, R. D.
Venue
Psychometrika
Published
1972-03
Volume
37
Issue
1
Pages
29-51
ISSN
  • 0033-3123 (ISSN-L)
  • 1860-0980
OpenAlex
W2078852258
Cited by
1,228
References
1
FWCI
7.06
Type
journal article
Language
en
Open access
closed

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