document: Multiple comparison methods for means Multiple comparison methods -LRB- MCMs -RRB- are used to investigate differences between pairs of population means or , more generally , between subsets of population means using sample data . Although several such methods are commonly available in statistical software packages , users may be poorly informed about the appropriate method -LRB- s -RRB- to use and/or the correct way to interpret the results . This paper classifies the MCMs and presents the important methods for each class . Both simulated and real data are used to compare the methods , and emphasis is placed on a correct application and interpretation . We include suggestions for choosing the best method . Mathematica programs developed by the authors are used to compare MCMs . By taking the advantage of Mathematica 's notebook structure , all interested student can use these programs to explore the subject more deeply
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