期刊
JOURNAL OF APPLIED STATISTICS
卷 31, 期 1, 页码 61-72出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/0266476032000148957
关键词
confidence intervals; comparisons of two proportions; conditional test; equivalence test; Z test; chi(2) test; 2 x 2 tables
The classic conditional test for checking that the difference between two independent proportions is not null may not be appropriate in many circumstances. Dunnett & Gent (1977) showed that in clinical trials, in studies of drugs, etc, the aim is to prove the practical equality (equivalence) of both proportions. On other occasions the aim may be the opposite: i.e. to prove that the two proportions are substantially different (biologically significant). Both cases are usually solved by two one-sided tests (TOST test). In this article, this procedure is shown to be conservative and two true two-sided tests for each case are proposed.
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