Small-Sample Confidence Intervals for p 1 – p 2 and p 1 / p 2 in 2 × 2 Contingency Tables
二乘二列联表中成功概率差与比值的小样本置信区间
Consider two binomial populations II1 and II2 having “success” probabilities p 1 in (0, 1) and p 2 in (0, 1), respectively. This article studies the problem of constructing small-sample confidence intervals for the difference of the success probabilities, Δ = p 1 – p 2 and their ratio (the “relative risk”), ρ = p 1/p 2 based on independent random samples of sizes n 1 and n 2 from II1 and II2, respectively. These are nuisance parameter problems; hence the proposed intervals…