Abstract
Abstract For the general linear model there are many ways to obtain simultaneous confidence intervals. Among them are the Bonferroni, Scheffe and several Sidak-type procedures. The comparisons of these procedures have been extensively studied. However, previously the comparison between the Bonferroni and Scheffe procedures has only been based on numerical inspection or on a comparison with infinite error degrees of freedom. In this paper, we show surprisingly that for one or two degrees of freedom for error. Scheffe's procedure is better, that is, produces shorter intervals, than the Bonferroni's procedure. For more than two degrees of freedom for error. Bonferroni is better than Scheffe for standard levels of confidence, but the reverse can be true for nonstandard confidence levels.
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