 Simultaneous inferences: new method of maximum combinationA. Martín Andrés () and M. Álvarez Hernández Statistical Papers, 2015, vol. 56, issue 4, 1099-1113 Abstract: The Scheffé method is used to carry out simultaneous inferences on many linear combinations of $$K$$ K parameters. Frequently these combinations arise from the need to explain the causes of significance of the homogeneity test for all the parameters. This paper proposes an alternative methodology based on the maximization of the contrast statistic in the coefficient of the combination. This new method, compatible with Scheffé’s method, in addition yields the statistic which should be used for the global test, as well as the combination of maximum significance. The method is illustrated in the cases of $$K$$ K means of normal distributions and $$K$$ K binomial proportions (independent samples). In the second case, the method allows a homogeneity test that is more powerful than Pearson’s classic chi-squared test to be obtained. The program which determines this may be obtained at http://www.ugr.es/local/bioest/Z_LINEAR_K.EXE . Copyright Springer-Verlag Berlin Heidelberg 2015 Keywords: Combinations of means; Combinations of proportions; Multiple comparisons; Scheffé’s method; Simultaneous inferences; “A posteriori” combinations (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:stpapr:v:56:y:2015:i:4:p:1099-1113 Ordering information: This journal article can be ordered from DOI: 10.1007/s00362-014-0627-1 Access Statistics for this article Statistical Papers is currently edited by C. Müller, W. Krämer and W.G. Müller More articles in Statistical Papers from Springer |
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