Improved Bonferroni-type multiple testing procedures.

The Bonferroni multiple comparisons procedure is customarily used when doing several simultaneous tests of significance in relatively nonstandard situations in which other methods do not apply. We review some new and improved competitors to the Bonferroni procedure, that although constraining generalized Type I error probability to be at most a, afford increased power in exchange for increased complexity in implementation. An improvement to the weighted form of the Bonferroni procedure is also presented. Several data sets are reanalyzed with the new methods.