Complex Analyses of Variance: General Problems

1960/06/01 by Bert F. Green, John W. Tukey · 5 citations
Mathematics · Chemistry · #Advanced Statistical Methods and Models #Spectroscopy and Chemometric Analyses

paper · doi:10.1007/bf02288577

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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