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

R. DARRELL BOCK

doi:10.1007/bf02291411

journal article Mar 01, 1972

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

R. DARRELL BOCK

Psychometrika Vol. 37 No. 1 pp. 29-51 · Cambridge University Press (CUP)

View at Publisher Save 10.1007/bf02291411

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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References

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Fitting a Response Model for n Dichotomously Scored Items

R. DARRELL BOCK, Marcus Lieberman

Psychometrika 10.1007/bf02291262

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Metrics

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Citations

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References

Details

Published: Mar 01, 1972
Vol/Issue: 37(1)
Pages: 29-51
License: View

Authors

R

R. DARRELL BOCK

Cite This Article

R. DARRELL BOCK (1972). Estimating Item Parameters and Latent Ability when Responses are Scored in Two or More Nominal Categories. Psychometrika, 37(1), 29-51. https://doi.org/10.1007/bf02291411

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

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