Brown C C
Am J Epidemiol. 1981 Apr;113(4):474-80. doi: 10.1093/oxfordjournals.aje.a113115.
The validity of a confidence interval is determined by the probability that the random interval covers the true parameter value. A valid interval will have coverage probabilities at least as large as the confidence coefficient for all values of the parameter. The validity of three methods for constructing an approximate confidence interval on the odds ratio parameter for 2 X 2 tables is examined in the conditional hypergeometric sampling situation. Two examples are shown for which Cornfield's method is seen to be valid over a fairly wide range of true odds ratios, while the methods of Miettinen and Woolf are often found to be invalid. A number of other examples are studied with qualitatively similar results.
置信区间的有效性取决于随机区间覆盖真实参数值的概率。对于参数的所有值，有效的区间将具有至少与置信系数一样大的覆盖概率。在条件超几何抽样情况下，研究了为2×2列联表的优势比参数构建近似置信区间的三种方法的有效性。给出了两个例子，在相当宽的真实优势比范围内，科恩菲尔德方法被证明是有效的，而米耶蒂宁和伍尔夫方法常常被发现是无效的。还研究了其他一些例子，结果在性质上类似。
