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A New and Simpler Approximation for ANOVA Under Variance Heterogeneity

Author

Listed:
  • Ralph A. Alexander
  • Diane M. Govern

Abstract

A new approximation is proposed for testing the equality of k independent means in the face of heterogeneity of variance. Monte Carlo simulations show that the new procedure has Type I error rates that are very nearly nominal and Type II error rates that are quite close to those produced by James’s (1951) second-order approximation. In addition, it is computationally the simplest approximation yet to appear, and it is easily applied to Scheffé (1959) -type multiple contrasts and to the calculation of approximate tail probabilities.

Suggested Citation

  • Ralph A. Alexander & Diane M. Govern, 1994. "A New and Simpler Approximation for ANOVA Under Variance Heterogeneity," Journal of Educational and Behavioral Statistics, , vol. 19(2), pages 91-101, June.
    • Handle: RePEc:sae:jedbes:v:19:y:1994:i:2:p:91-101
    DOI: 10.3102/10769986019002091
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