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Type I Error Rates for Welch’s Test and James’s Second-Order Test Under Nonnormality and Inequality of Variance When There Are Two Groups

Author

Listed:
  • James Algina
  • T. C. Oshima
  • Wen-Ying Lin

Abstract

Type I error rates were estimated for three tests that compare means by using data from two independent samples: the independent samples t test, Welch’s approximate degrees of freedom test, and James’s second-order test. Type I error rates were estimated for skewed distributions, equal and unequal variances, equal and unequal sample sizes, and a range of total sample sizes. Welch’s test and James’s test have very similar Type I error rates and tend to control the Type I error rate as well or better than the independent samples t test does. The results provide guidance about the total sample sizes required for controlling Type I error rates.

Suggested Citation

  • James Algina & T. C. Oshima & Wen-Ying Lin, 1994. "Type I Error Rates for Welch’s Test and James’s Second-Order Test Under Nonnormality and Inequality of Variance When There Are Two Groups," Journal of Educational and Behavioral Statistics, , vol. 19(3), pages 275-291, September.
    • Handle: RePEc:sae:jedbes:v:19:y:1994:i:3:p:275-291
    DOI: 10.3102/10769986019003275
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