Estimation of Two-Parameter Logistic Item Response Curves

Robert K. Tsutakawa

Journal of Educational and Behavioral Statistics, 1984, vol. 9, issue 4, 263-276

Abstract: Under the assumption that ability parameters are sampled from a normal distribution, the EM algorithm is used to derive maximum likelihood estimates for item parameters of the two-parameter logistic item response curves. The observed information matrix is then used to approximate the covariance matrix of these estimates. Responses to a questionnaire on general arthritis knowledge are used to illustrate the procedure and simulated data are used to compare the estimated and actual item parameters. The resulting estimates are found to be very close to those obtained from LOGIST. A computational note is included to facilitate the extensive numerical work required to implement the procedure.

Keywords: Item response; logistic curve; maximum likelihood; EM algorithm (search for similar items in EconPapers)
Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:9:y:1984:i:4:p:263-276

DOI: 10.3102/10769986009004263

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