A note on the strong convergence of the relative observed score in mental test theory

1969 ◽  
Vol 6 (3) ◽  
pp. 356-358
Author(s):  
Melvin R. Novick
Psychometrika ◽  
1959 ◽  
Vol 24 (4) ◽  
pp. 283-302 ◽  
Author(s):  
Frederic M. Lord
Keyword(s):  

2020 ◽  
Author(s):  
Kazuhiro Yamaguchi ◽  
Jonathan Templin

Quantifying the reliability of latent variable estimates in diagnostic classification models has been a difficult topic, complicated by the classification-based nature of these models. In this study, we derive observed score reliability indices based on diagnostic classification models as an extension of classical test theory-based reliability. Additionally, we derive conditional observed sum- and sub-score distributions. In this manner, various conditional expectations and conditional standard error of measurement estimates can be calculated for both total- and sub-scores of a test. The proposed methods provide a variety of expectations and standard errors for attribute estimates, which we demonstrate in an analysis of an empirical test.


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