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Testing Effects in ANOVA Experiments: Direct Combination of All Pair-Wise Comparisons Using Constrained Synchronized Permutations

In: Compstat 2008

Author

Listed:
  • Dario Basso

    (University of Padova, Department of Management and Engineering)

  • Fortunato Pesarin

    (University of Padova, Department of Statistics)

  • Luigi Salmaso

    (University of Padova, Department of Management and Engineering)

Abstract

Synchronized permutation tests have been introduced to test for main effects and interaction in two-way ANOVA problems (Pesarin, 2001, Salmaso, 2003, Basso et al., 2007). The permutation space is restricted in order the test statistic for each factor or interaction to depend only on the true effects (if any) under testing and on exchangeable errors. The proposed test statistics can be viewed as a direct combination (i.e. the sum) of partial statistics to perform all pair-wise comparisons between the effects of a main factor. Note that the tests for each comparison are dependent. Constrained synchronized permutations allow to test all pair-wise comparisons between pairs of effects of a main factor. Simultaneous and individual confidence intervals for each comparison can be provided through CSP tests.

Suggested Citation

  • Dario Basso & Fortunato Pesarin & Luigi Salmaso, 2008. "Testing Effects in ANOVA Experiments: Direct Combination of All Pair-Wise Comparisons Using Constrained Synchronized Permutations," Springer Books, in: Paula Brito (ed.), Compstat 2008, pages 411-422, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7908-2084-3_34
    DOI: 10.1007/978-3-7908-2084-3_34
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