The following procedures are proposed for clinical trials of potentially le
thal diseases with a nonfatal primary outcome: (i) comparison of treatments
on worst-rank scores combining mortality and the non-fatal outcome; (ii) t
esting first for mortality differences, and then for differences on the wor
st-rank scoring if there is no significant evidence for mortality differenc
es. Power and control of type I error rate while testing mortality and wors
t-rank scores by Bonferroni or closed testing procedures are compared. Used
together these procedures improve power to detect treatments with favourab
le effects on both mortality and the designated non-fatal outcome, while re
ducing the likelihood of declaring that a treatment benefits patients when
undetected adverse effects on mortality are present. Copyright (C) 2001 Joh
n Wiley & Sons, Ltd.