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The Appropriateness of Some Common Procedures for Testing the Equality of Two Independent Binomial Populations
Ralph B. D'Agostino, Warren Chase and Albert Belanger
The American Statistician
Vol. 42, No. 3 (Aug., 1988), pp. 198-202
Stable URL: http://www.jstor.org/stable/2685002
Page Count: 5
You can always find the topics here!Topics: T tests, Significance level, Statistics, Binomials, Null hypothesis, Population size, Statistical variance, Applied statistics, Sampling distributions, P values
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For testing the equality of two independent binomial populations the Fisher exact test and the chi-squared test with Yates's continuity correction are often suggested for small and intermediate size samples. The use of these tests is inappropriate in that they are extremely conservative. In this article we demonstrate that, even for small samples, the uncorrected chi-squared test (i.e., the Pearson chi-squared test) and the two-independent-sample t test are robust in that their actual significance levels are usually close to or smaller than the nominal levels. We encourage the use of these latter two tests.
The American Statistician © 1988 American Statistical Association