B. Freidlin et Jl. Gastwirth, Unconditional versions of several tests commonly used in the analysis of contingency tables, BIOMETRICS, 55(1), 1999, pp. 264-267
By focusing an a confidence interval fora nuisance parameter, Berger and Bo
os(1994, Journal of the American Statistical Association 89, 1012-1016) pro
posed new unconditional tests. In particular, they showed that, for a 2 x 2
table, this procedure generally was more powerful than Fisher's exact test
. This paper utilizes and extends their approach to obtain unconditional te
sts for combining several 2 x 2 tables and testing for trend and homogeneit
y in a 2 x K table. The unconditional procedures are compared to the condit
ional ones by reanalyzing some published biomedical data.