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Computation and Use of Expected Mean Squares in Analysis of Variance

Summary: The available procedures for the computation and use of expected mean squares (EMS) in analysis of variance are reviewed. The discussion is tutorial in nature and includes algorithms for EMS computation, the selection of appropriate error terms in constructing F tests for the significance of factor effects, the estimation of variance components, synthesized mean squares and associated degrees of freedom and approximate F tests. Emphasis is on practical applications. Examples of both balanced and unbalanced designs are presented.

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  • Topics:
  • Keywords: Mean square errors (MSE),Statistical tests
  • Author: Snee, Ronald D.
  • Journal: Journal of Quality Technology