%0 Journal Article
%T A SAS macro for generating letter displays of pairwise mean comparisons
%A Hans-Peter Piepho
%J Communications in Biometry and Crop Science
%D 2012
%I Warsaw Agricultural University
%X Data from many experiments are routinely subjected to analysis of variance, followed by a multiple comparison of means. A popular way to present the result of mean comparisons is by attaching super-scripted letters to the means, with a common letter on two means indicating that they are not significantly different. When the standard error of a difference is not constant, the algorithm traditionally used for generating such displays may fail to represent all significant differences. This paper reports on a so-called insert-and-absorb algorithm that is guaranteed to always truthfully represent all significant differences. This algorithm was implemented in a SAS macro %MULT. Its usage is illustrated using three examples.
%K multiple comparison
%K insert-and-absorb algorithm
%K lines display
%K letter display
%K compact letter display
%K mixed model
%K generalized linear mixed model
%K standard error of a difference
%K analysis of variance
%K %MULT macro
%U http://agrobiol.sggw.waw.pl/~cbcs/pobierz.php?plik=CBCS_7_1_2.pdf