There is a growing need to use response time data to improve measurement quality with the increasing popularity of computerized testing. This work simultaneously models item response and response time to improve on current IRT models that do not account for response time when there is a time limit in real testing. The joint distribution for item response and response time is presented in this work. It is specified as the product of the conditional distribution of response accuracy given response time and the marginal distribution of response time based on the lognormal distribution. A modified version of Thissen's (1983) log linear model is used to fit the response time. Marginal maximum likelihood estimation is developed and employed to estimate the item parameters. In addition, a maximum a posteriori procedure is developed and implemented to estimate person parameters. Three different simulation studies were conducted to evaluate the precision of estimation procedures. The results of item and person parameter estimates based on MML and MAP procedures were found to be consistent and accurate. / 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 23, 2008. / Marginal Maximum Likelihood, MAP, Response Time, Lognormal Distribution, Item Response Theory, 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.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_182102 |
| Contributors | Ingrisone, Soo Jeong (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) |
| Publisher | Florida State University, Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text |
| Format | 1 online resource, computer, application/pdf |
| Rights | This 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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