Bayesian Model Checking Strategies for Dichotomous Item Response Theory Models
| Main Author: | |
|---|---|
| Language: | English |
| Published: |
Bowling Green State University / OhioLINK
2006
|
| Subjects: | |
| Online Access: | http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1150425606 |
| id |
ndltd-OhioLink-oai-etd.ohiolink.edu-bgsu1150425606 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-OhioLink-oai-etd.ohiolink.edu-bgsu11504256062021-08-03T05:27:44Z Bayesian Model Checking Strategies for Dichotomous Item Response Theory Models Toribio, Sherwin G. Item Response Theory Bayesian Model Checking Gibbs Sampling Predictive Distributions Bayes Factor Item Response Theory (IRT) models are commonly used in educational and psychological testing. These models are mainly used to assess the latent abilities of examinees and the effectiveness of the test items in measuring this underlying trait. However, model checking in Item Response Theory is still an underdeveloped area. In this dissertation, various model checking strategies from a Bayesian perspective for different Item Response models are presented. In particular, three methods are employed to assess the goodness-of-fit of different IRT models. First, Bayesian residuals and different residual plots are introduced to serve as graphical procedures to check for model fit and to detect outlying items and examinees. Second, the idea of predictive distributions is used to construct reference distributions for different test quantities and discrepancy measures, including the standard deviation of point bi-serial correlations, Bock's Pearson-type chi-square index, Yen's Q<sup>1</sup> index, Hosmer-Lemeshow Statistic, Mckinley and Mill's G<sup>2</sup> index, Orlando and Thissen's S-G<sup>2</sup> and S-X<sup>2</sup> indices, Wright and Stone's <i>W</i>-statistic, and the Log-likelihood statistic. The prior, posterior, and partial posterior predictive distributions are discussed and employed. Finally, Bayes factor are used to compare different IRT models in model selection and detection of outlying discrimination parameters. In this topic, different numerical procedures to estimate the Bayes factors for these models are discussed. All of these proposed methods are illustrated using simulated data and Mathematics placement exam data from BGSU. 2006-06-16 English text Bowling Green State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1150425606 http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1150425606 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws. |
| collection |
NDLTD |
| language |
English |
| sources |
NDLTD |
| topic |
Item Response Theory Bayesian Model Checking Gibbs Sampling Predictive Distributions Bayes Factor |
| spellingShingle |
Item Response Theory Bayesian Model Checking Gibbs Sampling Predictive Distributions Bayes Factor Toribio, Sherwin G. Bayesian Model Checking Strategies for Dichotomous Item Response Theory Models |
| author |
Toribio, Sherwin G. |
| author_facet |
Toribio, Sherwin G. |
| author_sort |
Toribio, Sherwin G. |
| title |
Bayesian Model Checking Strategies for Dichotomous Item Response Theory Models |
| title_short |
Bayesian Model Checking Strategies for Dichotomous Item Response Theory Models |
| title_full |
Bayesian Model Checking Strategies for Dichotomous Item Response Theory Models |
| title_fullStr |
Bayesian Model Checking Strategies for Dichotomous Item Response Theory Models |
| title_full_unstemmed |
Bayesian Model Checking Strategies for Dichotomous Item Response Theory Models |
| title_sort |
bayesian model checking strategies for dichotomous item response theory models |
| publisher |
Bowling Green State University / OhioLINK |
| publishDate |
2006 |
| url |
http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1150425606 |
| work_keys_str_mv |
AT toribiosherwing bayesianmodelcheckingstrategiesfordichotomousitemresponsetheorymodels |
| _version_ |
1719420454670696448 |