Item-Weighted Likelihood Method for Ability Estimation in Tests Composed of Both Dichotomous and Polytomous Items

Jian Tao, Ning-Zhong Shi and Hua-Hua Chang
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Jian Tao: Northeast Normal University
Ning-Zhong Shi: Northeast Normal University
Hua-Hua Chang: University of Illinois at Urbana-Champaign

Journal of Educational and Behavioral Statistics, 2012, vol. 37, issue 2, 298-315

Abstract: For mixed-type tests composed of both dichotomous and polytomous items, polytomous items often yield more information than dichotomous ones. To reflect the difference between the two types of items, polytomous items are usually pre-assigned with larger weights. We propose an item-weighted likelihood method to better assess examinees' ability levels. Simulation results show that the estimated ability based on the new procedure is more consistent with examinee’s true ability than the usual maximum likelihood method.

Keywords: bias; dichotomous response; generalized partial credit model; item-weighted likelihood; mixed-type test; polytomous response (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:37:y:2012:i:2:p:298-315

DOI: 10.3102/1076998610393969

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