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Zimmerman, Donald W.; Zumbo, Bruno D. – International Journal of Testing, 2001
Presents a model of tests and measurement that identifies test scores with Hilbert space vectors and true and error components of scores with linear operators. This geometric point of view brings to light relations among elementary concepts in test theory, including reliability, validity, and parallel tests. (Author/SLD)
Descriptors: Models, Probability, Reliability, Scores
Zimmerman, Donald W.; Williams, Richard H.; Zumbo, Bruno D.; Ross, Donald – International Journal of Testing, 2005
This article focuses on Louis Guttman's contributions to the classical theory of educational and psychological tests, one of the lesser known of his many contributions to quantitative methods in the social sciences. Guttman's work in this field provided a rigorous mathematical basis for ideas that, for many decades after Spearman's initial work,…
Descriptors: Evaluation Methods, Test Theory, Social Sciences, Psychological Testing