The present work aims at presenting a general nonparametric alternative to the well known van Elteren test for two-sample stratified analysis. We developed a solution based on permutation tests that considers the Nonparametric Combination (NPC) methodology for reducing the dimensionality of the problem. A simulation study to compare performances of proposed test with those of the usual van Elteren test and of aligned rank test has been performed considering both continuous and ordinal data. Results shows the respect of nominal α-level under H0 even for small sample sizes. A real application example is also presented.

Stratified data: a permutation approach for hypotheses testing.

Rosa Arboretti;Eleonora Carrozzo;Luigi Salmaso
2017

Abstract

The present work aims at presenting a general nonparametric alternative to the well known van Elteren test for two-sample stratified analysis. We developed a solution based on permutation tests that considers the Nonparametric Combination (NPC) methodology for reducing the dimensionality of the problem. A simulation study to compare performances of proposed test with those of the usual van Elteren test and of aligned rank test has been performed considering both continuous and ordinal data. Results shows the respect of nominal α-level under H0 even for small sample sizes. A real application example is also presented.
2017
SIS 2017 Statistics and Data Science: new challenges, new generations. Proceedings of the Conference of the Italian Statistical Society.
978-88-6453-521-0
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3246548
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