Table PTE0U. Two group test of equivalence in proportions (unequal n’s)

Computed using the large sample normal approximation referenced in the nQuery Advisor® manual appendix, modified by multiplying the term πs(1-πs) by r, see Makuch R, Simon R (1978) Sample size requirements for evaluating a conservative therapy, Cancer Treatment Reports 62:1037-1040. Figure PTE0U shows computations for five examples. Solutions for r=1 checked against PTE0 for same parameter values. Solutions for unequal sample sizes checked against examples in Makuch and Simon (1978) and Farrington CP, Manning G (1990) Test statistics and sample size formulae for comparative binomial trials with null hypothesis of non non-zero risk difference or non-unity relative risk. Statistics in Medicine 9:1447-1454.

Figure PTE0U. In all five columns, nQuery Advisor® 7.0 has solved for sample size.