There are two procedures that keep the joint confidence coefficient for
several simultaneous statements near a prechosen level (1−α). The oldest
and simplest procedure, commonly called the Bonferroni method, constructs
the individual confidence intervals as given in equations 4.54 and
4.55, but uses ∝^*= ∝/k where k is the number of simultaneous intervals
or statements. That is, in equation 4.54, t_((α/2,ν) )is replaced with t_((α/2k,ν).)
This procedure ensures that the true joint confidence coefficient for the k
simultaneous statements is at least (1 − α).