Rc. Blair et Jg. Morel, ON THE USE OF THE GENERALIZED-T AND GENERALIZED RANK-SUM STATISTICS IN MEDICAL-RESEARCH, Statistics in medicine, 11(4), 1992, pp. 491-501
We have used Monte Carlo methods to compare the type I error propertie
s of the conditional and unconditional versions of the generalized t a
nd the generalized rank-sum tests to those of the independent samples
t and Wilcoxon rank-sum tests. Results showed inflated type I errors f
or the conditional generalized tests but not for the unconditional tes
ts. We also compared the power of the unconditional generalized tests
to that of the t and Wilcoxon tests under a variety of conditions. Res
ults showed the generalized tests to be much more efficient than their
traditional counterparts in some circumstances, but substantially les
s powerful in others. Based on these and other considerations, we conc
lude that the application of these newer statistics in medical researc
h needs further consideration.