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AuthorBrennan, Robert L. author
TitleGeneralizability Theory [electronic resource] / by Robert L. Brennan
ImprintNew York, NY : Springer New York : Imprint: Springer, 2001
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Descript XX, 538 p. online resource


In 1972 a monograph by Cronbach, Gleser, Nanda, and Rajaratnam was published entitled The Dependability of Behavioral Measurements. That book incorporated, systematized, and extended their previous research into what came to be called generalizability theory, which liberalizes classical test theory, in part through the application of analysis of variance proceยญ dures that focus on variance components. Generalizability theory is perhaps the most broadly defined measurement model currently in existence, and the Cronbach et al. (1972) treatment of the theory represents a major conยญ tribution to psychometrics. However, as Cronbach et al. (1972, p. 3) state, their book is "complexly organized and by no means simple to follow" and, of course, it is nearly 30 years old. In 1983, ACT, Inc. published my monograph entitled Elements of Genยญ eralizability Theory, with a slightly revised version appearing in 1992. That treatment is considerably less comprehensive than Cronbach et al. (1972) but still detailed enough to convey much ofthe richness of the theory and to facilitate its application. However, the 1983/1992 monograph is essenยญ tially two decades old, it does not cover multivariate generalizability theory in depth, and it does not incorporate recent developments in statistics that bear upon the estimation of variance components. Also, of course, there have been numerous developments in generalizability theory in the last 20 years


1 Introduction -- 2 Single-Facet Designs -- 3 Multifacet Universes of Admissible Observations and G Study Designs -- 4 Multifacet Universes of Generalization and D Study Designs -- 5 Advanced Topics in Univariate Generalizability Theory -- 6 Variability of Statistics in Generalizability Theory -- 7 Unbalanced Random Effects Designs -- 8 Unbalanced Random Effects Designsโ{128}{148}Examples -- 9 Multivariate G Studies -- 10 Multivariate D Studies -- 11 Multivariate Unbalanced Designs -- 12 Multivariate Regressed Scores -- Appendices -- A. Degrees of Freedom and Sums of Squares for Selected Balanced Designs -- B. Expected Mean Squares and Estimators of Random Effects Variance Components for Selected Balanced Designs -- C. Matrix Procedures for Estimating Variance Components and Their Variability -- D. Table for Simplified Use of Satterthwaiteโ{128}{153}s Procedure -- E. Formulas for Selected Unbalanced Random Effects Designs -- F. Mini-Manual for GENOVA -- G. urGENOVA -- H. mGENOVA -- I. Answers to Selected Exercises -- References -- Author Index

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