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Posterior predictive model checking ...

Levy, Roy.

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Posterior predictive model checking for multidimensionality in item response theory and Bayesian networks.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Posterior predictive model checking for multidimensionality in item response theory and Bayesian networks./
Author:	Levy, Roy.
Description:	235 p.
Notes:	Source: Dissertation Abstracts International, Volume: 67-03, Section: A, page: 0912.
Contained By:	Dissertation Abstracts International67-03A.
Subject:	Agriculture, Agronomy. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3212601
ISBN:	9780542618086

Posterior predictive model checking for multidimensionality in item response theory and Bayesian networks.
Levy, Roy.

Posterior predictive model checking for multidimensionality in item response theory and Bayesian networks. - 235 p.

Source: Dissertation Abstracts International, Volume: 67-03, Section: A, page: 0912.

Thesis (Ph.D.)--University of Maryland, College Park, 2006.

If data exhibit a dimensional structure more complex than what is assumed, key conditional independence assumptions of the hypothesized model do not hold. The current work pursues posterior predictive model checking, a flexible family of Bayesian model checking procedures, as a tool for criticizing models in light of inadequately modeled dimensional structure. Factors hypothesized to influence dimensionality and dimensionality assessment are couched in conditional covariance theory and conveyed via geometric representations of multidimensionality. These factors and their hypothesized effects motivate a simulation study that investigates posterior predictive model checking in the context of item response theory for dichotomous observables. A unidimensional model is fit to data that follow compensatory or conjunctive multidimensional item response models to assess the utility of conducting posterior predictive model checking. Discrepancy measures are formulated at the level of individual items and pairs of items. A second study draws from the results of the first study and investigates the model checking techniques in the context of multidimensional Bayesian networks with inhibitory effects. Key findings include support for the hypothesized effects of the manipulated factors with regard to their influence on dimensionality assessment and the superiority of certain discrepancy measures for conducting posterior predictive model checking on dimensionality assessment. The application of these techniques to models both familiar to assessment and those that have not yet become standard practice speaks to the generality of the procedures and its potentially broad applicability.

ISBN: 9780542618086Subjects--Topical Terms:

1018679
Agriculture, Agronomy.

Posterior predictive model checking for multidimensionality in item response theory and Bayesian networks.
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100 1 $a Levy, Roy. $3 1919272
245 1 0 $a Posterior predictive model checking for multidimensionality in item response theory and Bayesian networks.
300 $a 235 p.
500 $a Source: Dissertation Abstracts International, Volume: 67-03, Section: A, page: 0912.
500 $a Adviser: Robert J. Mislevy.
502 $a Thesis (Ph.D.)--University of Maryland, College Park, 2006.
520 $a If data exhibit a dimensional structure more complex than what is assumed, key conditional independence assumptions of the hypothesized model do not hold. The current work pursues posterior predictive model checking, a flexible family of Bayesian model checking procedures, as a tool for criticizing models in light of inadequately modeled dimensional structure. Factors hypothesized to influence dimensionality and dimensionality assessment are couched in conditional covariance theory and conveyed via geometric representations of multidimensionality. These factors and their hypothesized effects motivate a simulation study that investigates posterior predictive model checking in the context of item response theory for dichotomous observables. A unidimensional model is fit to data that follow compensatory or conjunctive multidimensional item response models to assess the utility of conducting posterior predictive model checking. Discrepancy measures are formulated at the level of individual items and pairs of items. A second study draws from the results of the first study and investigates the model checking techniques in the context of multidimensional Bayesian networks with inhibitory effects. Key findings include support for the hypothesized effects of the manipulated factors with regard to their influence on dimensionality assessment and the superiority of certain discrepancy measures for conducting posterior predictive model checking on dimensionality assessment. The application of these techniques to models both familiar to assessment and those that have not yet become standard practice speaks to the generality of the procedures and its potentially broad applicability.
590 $a School code: 0117.
650 4 $a Agriculture, Agronomy. $3 1018679
650 4 $a Education, Tests and Measurements. $3 1017589
650 4 $a Statistics. $3 517247
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690 $a 0288
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710 2 0 $a University of Maryland, College Park. $3 657686
773 0 $t Dissertation Abstracts International $g 67-03A.
790 1 0 $a Mislevy, Robert J., $e advisor
790 $a 0117
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3212601