期刊
AMERICAN STATISTICIAN
卷 55, 期 3, 页码 200-202出版社
AMER STATISTICAL ASSOC
DOI: 10.1198/000313001317098167
关键词
binomial confidence interval; logit interval; odds ratio; relative risk; score interval
The logit Wald and Wilson score intervals for the binomial proportion are both symmetrical on the logit scale. They are closely related: the widths of the two intervals on the logit scale are shown to be related by a simple sinh function. Similarly, the Woolf logit Wald interval for the odds ratio and the analogous interval for the relative risk may be shortened by inverse sinh transformation. This modified interval can be calculated even when one of the cells contains a zero. It then takes a very simple form in which the appropriate centile of the chi-square distribution on one degree of freedom is substituted for the zero. These suggested modified intervals require evaluation of coverage probabilities.
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