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Bayesian item response modeling

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Springer, 2010 - Mathematics - 313 pages
  

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Selected pages

Contents

1 Introduction to Bayesian Response Modeling
1
2 Bayesian Hierarchical Response Modeling
31
3 Basic Elements of Bayesian Statistics
45
4 Estimation of Bayesian Item Response Models
67
5 Assessment of Bayesian Item Response Models
107
6 Multilevel Item Response Theory Models
141
7 Random Item E ects Models
193
8 Response Time Item Response Models
227
9 Randomized Item Response Models
255
References
289
Index
309
Copyright

Other editions - View all

Bayesian Item Response Modeling: Theory and Applications
Bayesian Item Response Modeling: Theory and Applications
Jean-Paul Fox
No preview available - 2010
Bayesian Item Response Modeling: Theory and Applications
Bayesian Item Response Modeling: Theory and Applications
Jean-Paul Fox
No preview available - 2012

Common terms and phrases

ability parameters analysis assumed augmented data Bayes factor cognitive impairment computed conditional distribution conditional posterior corresponding country-specific covariance matrix cross-national defined denoted different difficulty parameters discrimination parameters Equation first fit fixed function Gibbs sampling given graded response model hierarchical prior hyperparameters identified independent individual inferences influence item characteristics item difficulty item response data item response model item response theory iterations latent response latent variable level-1 likelihood logistic marginal likelihood marginal posterior MCMC scheme methods mixed effects model MLIRT model model parameters multilevel model multivariate nested normal prior normally distributed p-value parameter values person parameters polytomous population posterior density posterior distribution posterior mean posterior predictive posterior probability prior distributions random effects random item effects randomized response Rasch model restricted sampling school effects scores shrinkage specific statistical testlet threshold parameters two-parameter variance variation vector WinBUGS Yijk zero Zijk

Bibliographic information

QR code for Bayesian item response modeling
TitleBayesian item response modeling
Statistics for Social and Behavioral Sciences
AuthorJean P. Fox
PublisherSpringer, 2010
ISBN1441907424, 9781441907424
Length313 pages
Subjects ›  › 

Mathematics / Probability & Statistics / Bayesian Analysis
Social Science / General
Social Science / Statistics
  
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