The multiple-comparison procedure originally proposed by R. A. Fisher
(1935) for the 1-way analysis of variance context has several desirabl
e properties when K (the number of groups) is equal to 3. In this arti
cle, the logic of the procedure is described in conjunction with those
properties. A discussion follows of how the Fisher procedure can be s
imilarly applied in a number of other K = 3 (and, more generally, 2-de
gree-of-freedom) hypothesis-testing situations. Finally, the Fisher lo
gic is combined with recent sequential applications of the Bonferroni
inequality to illustrate the utility and versatility of that combinati
on for the applied researcher.