Complex Analyses of Variance: General Problems

1960/06/01 by Bert F. Green, John W. Tukey · 167 citations
Chemistry · Mathematics · #Advanced Statistical Methods and Models #Computer science #Econometrics #Mathematics #Scale (ratio) #Spectroscopy and Chemometric Analyses #Statistics #Term (time) #Variable (mathematics) #Variables #Variance (accounting)

paper · doi:10.1007/bf02288577

published in Psychometrika 25(2), 127-152 (Springer Science+Business Media)

openalex publication_date 1960/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26

Abstract

Problems in applying the analysis of variance are discussed. Emphasis is placed on using the technique to understand the data. The scale of the dependent variable is important for the analysis. Crossed and nested categories must be recognized. The error terms in the analysis depend on whether the classes of each independent variable are (1) all out of a few or (2) a few out of many. To simplify the analysis, mean squares should be aggregated with their error term when they are less than twice its size. An illustrative example is discussed in detail.

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