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Activity Number: 541
Type: Contributed
Date/Time: Thursday, August 2, 2007 : 10:30 AM to 12:20 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #309511
Title: Comparing Fits in Nonparametric Bayes Item Response Models
Author(s): Kristin Duncan*+
Companies: San Diego State University
Address: 519 W Laurel St Unit 4, San Diego, CA, 92101,
Keywords: Nonparametric Bayes ; Item Response Theory
Abstract:

Item response models are used to study the relationship between a latent trait or ability level and individuals' responses to items on a test or questionnaire designed to measure that trait. The item characteristic curve (ICC) gives the probability of a correct response as a function of ability. Dirichlet process priors provide a flexible means of modeling the ICC. Here we compare fits from models using two- and three-parameter logistic curves as the prior means for the Dirichlet process and also study the impact of the mass parameter of the Dirichlet process on the fitted curves. Comparisons are made with simulated data and with a data set from an introductory statistics final exam.


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Revised September, 2007