A Nonrandomized Unconditional Test for Comparing Two Proportions.
WYOMING UNIV LARAMIE STATISTICS LAB
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It is shown that the usual nonrandomized, conditional test for comparing proportions using independent binomial samples, is very conservative in the sense that the actual significance level attributable to an outcome is often one-fourth to one-half of the anticipated value. A nonrandomized unconditional test is proposed, and for sample sizes up to 20, tables are given which specify one-sided critical regions of size less than or equal to the nominal values 0.10, 0.05, 0.025, 0.01, and 0.005 two-sided critical regions are also given. Numerical examples illustrating the use of the tables are included.
- Statistics and Probability