Weighted likelihood estimation of ability in item response theory

Psychometrika ◽  
1989 ◽  
Vol 54 (3) ◽  
pp. 427-450 ◽  
Author(s):  
Thomas A. Warm
2021 ◽  
Author(s):  
Metin Bulus ◽  
Wes Bonifay

Comprehension of foundational but fairly complex statistical theories may require assistive interactive tools to understand underlying equations and theory. We provide a collection of interactive shiny applications to demonstrate or explore some of the fundamental yet complex Item Response Theory (IRT) concepts such as estimation, scoring and multidimensionality. Users can explore principles of Maximum Likelihood Estimation such as Newton-Raphson iterations, influence of starting values and extreme scores on the convergence, principles of Expected A Posteriori (EAP) and Maximum A Posteriori (MAP) ability estimation such as likelihood, quadrature points, influence of prior mean, prior standard deviation and prior skewness on EAP and MAP estimates, and multidimensional IRT concepts such as item response surface, item information, compensatory and partially compensatory models for two-, three- and four-parameter logistic or ogive IRT models. We hope that these applications give a head-start to emerging practitioners and researchers interested in advanced measurement topics.


2001 ◽  
Vol 46 (6) ◽  
pp. 629-632
Author(s):  
Robert J. Mislevy

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