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Modeling the Joint Distribution of Response Accuracy and Response Time

Making use of the observable response time data now available due to computerized testing offers exciting opportunities for the theory and practice of educational measurement. This study extends item response theory by developing a model that incorporates response time data into an IRT inspired model. A joint distribution is used to simultaneously model response accuracy and response time. The conditional distribution incorporates response time into a one parameter logistic model. The marginal distribution of response time uses a two-parameter Weibull distribution. Three simulation studies are conducted to evaluate the accuracy of the estimation techniques. Item difficulty parameters are estimated using marginal maximum likelihood (MML). Maximum a posteriori (MAP) estimation is used to estimate the latent ability and latent person speed parameters. The simulation studies illustrate that the estimation procedures recovered the item and person parameters quite well. / A Dissertation submitted to the Department of Educational Psychology and Learning Systems in partial fulfillment of the requirements for the degree of Doctor of
Philosophy. / Fall Semester, 2008. / October 24, 2008. / Item Response Theory, Response Time, Marginal Maximum Likelihood, Maximum a Posteriori, Weibull Distribution, Joint Distribution / Includes bibliographical references. / Betsy Jane Becker, Professor Co-Directing Dissertation; Kai-Sheng Song, Professor Co-Directing Dissertation; Fred W. Huffer, Outside Committee Member; Akihito Kamata, Committee Member.

Identiferoai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_182101
ContributorsIngrisone, James N., 1960- (authoraut), Becker, Betsy Jane (professor co-directing dissertation), Song, Kai-Sheng (professor co-directing dissertation), Huffer, Fred W. (outside committee member), Kamata, Akihito (committee member), Department of Educational Psychology and Learning Systems (degree granting department), Florida State University (degree granting institution)
PublisherFlorida State University, Florida State University
Source SetsFlorida State University
LanguageEnglish, English
Detected LanguageEnglish
TypeText, text
Format1 online resource, computer, application/pdf
RightsThis Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them.

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