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

James Algina, T. C. Oshima and Wen-Ying Lin

Journal of Educational and Behavioral Statistics, 1994, vol. 19, issue 3, 275-291

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.

Keywords: Behrens-Fisher problem; Welch-James procedure; nonnormality (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:19:y:1994:i:3:p:275-291

DOI: 10.3102/10769986019003275

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