, Volume 25, Issue 2, pp 127–152

Complex analyses of variance: General problems

  • Bert F. GreenJr.
  • John W. Tukey

DOI: 10.1007/BF02288577

Cite this article as:
Green, B.F. & Tukey, J.W. Psychometrika (1960) 25: 127. doi:10.1007/BF02288577


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.

Copyright information

© Psychometric Society 1960

Authors and Affiliations

  • Bert F. GreenJr.
    • 1
  • John W. Tukey
    • 2
  1. 1.Lincoln LaboratoryMassachusetts Institute of TechnologyUSA
  2. 2.Princeton UniversityUSA

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