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A Bayesian nonparametric approach to...
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Liu, Xin.
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A Bayesian nonparametric approach to testing essential unidimensionality in item response theory.
Record Type:
Electronic resources : Monograph/item
Title/Author:
A Bayesian nonparametric approach to testing essential unidimensionality in item response theory./
Author:
Liu, Xin.
Description:
133 p.
Notes:
Source: Dissertation Abstracts International, Volume: 68-01, Section: B, page: 0667.
Contained By:
Dissertation Abstracts International68-01B.
Subject:
Statistics. -
Online resource:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3248861
A Bayesian nonparametric approach to testing essential unidimensionality in item response theory.
Liu, Xin.
A Bayesian nonparametric approach to testing essential unidimensionality in item response theory.
- 133 p.
Source: Dissertation Abstracts International, Volume: 68-01, Section: B, page: 0667.
Thesis (Ph.D.)--University of Illinois at Chicago, 2006.
Bayesian nonparametric method estimates the true sampling density based on a nonparametric prior that gives support to all possible forms of densities. The Essential Unidimensionality model implies a strict subset of densities characterized with zero conditional inter-item covariance.Subjects--Topical Terms:
517247
Statistics.
A Bayesian nonparametric approach to testing essential unidimensionality in item response theory.
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A Bayesian nonparametric approach to testing essential unidimensionality in item response theory.
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133 p.
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Source: Dissertation Abstracts International, Volume: 68-01, Section: B, page: 0667.
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Adviser: George Karabatsos.
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Thesis (Ph.D.)--University of Illinois at Chicago, 2006.
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Bayesian nonparametric method estimates the true sampling density based on a nonparametric prior that gives support to all possible forms of densities. The Essential Unidimensionality model implies a strict subset of densities characterized with zero conditional inter-item covariance.
520
$a
The logarithmic distance of the set of the EU densities from the point estimate of the true density is measured by the Kullback-Leibler Divergence in terms of posterior expected log-likelihood ratio. The length of the distance indicates weight of evidence against the EU model, which defines the practical significance of evidence in terms of information units, and avoids the many fundamental statistical issues that are associated with p-values.
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The simulation study showed that this approach displayed a moderate power in discriminating moderate multidimensionality from essential unidimensionality, and a high power in discriminating strong multidimensionality from moderate multidimensionality. The real illustrations of this approach in four educational and psychological test data implied that the proposed approach can be easily applied to various real test data.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3248861
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