Classical Test Theory as a first-order Item Response Theory: Application to true-score prediction from a possibly nonparallel test

Psychometrika ◽  
2003 ◽  
Vol 68 (1) ◽  
pp. 123-149 ◽  
Author(s):  
Paul W. Holland ◽  
Machteld Hoskens
2017 ◽  
Vol 79 (6) ◽  
pp. 1198-1209 ◽  
Author(s):  
Tenko Raykov ◽  
Dimiter M. Dimitrov ◽  
George A. Marcoulides ◽  
Michael Harrison

This note highlights and illustrates the links between item response theory and classical test theory in the context of polytomous items. An item response modeling procedure is discussed that can be used for point and interval estimation of the individual true score on any item in a measuring instrument or item set following the popular and widely applicable graded response model. The method contributes to the body of research on the relationships between classical test theory and item response theory and is illustrated on empirical data.


2017 ◽  
Vol 79 (4) ◽  
pp. 796-807 ◽  
Author(s):  
Tenko Raykov ◽  
Dimiter M. Dimitrov ◽  
George A. Marcoulides ◽  
Michael Harrison

Building on prior research on the relationships between key concepts in item response theory and classical test theory, this note contributes to highlighting their important and useful links. A readily and widely applicable latent variable modeling procedure is discussed that can be used for point and interval estimation of the individual person true score on any item in a unidimensional multicomponent measuring instrument or item set under consideration. The method adds to the body of research on the connections between classical test theory and item response theory. The outlined estimation approach is illustrated on empirical data.


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