Abstract
We deal with permutation testing for balanced and unbalanced repeated measures designs and we consider a replicated homoscedastic (balanced or unbalanced) factorial design with fixed effects (Milliken, 1984) as the basic experimental plan. It is worth noting that the new permutation approach, presented here, is exact and, being conditional to the sufficient statistic represented by the data matrix it does not require normality of error terms in the linear model for responses. A comparative simulation study has been performed in order to evaluate the power of such exact separate tests.
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References
Folks, J.L. (1984). Combinations of independent tests. In Krishnaiah, P.R. and Sen, P. K. (eds.)Handbook of Statistics vol. 4Elsevier Science Publishers, North Holland, 113–121.
Hoeffding, W. (1952). The large-sample power based on permutation of observationsAnnals Math. Statistics23, 168–192.
Milliken, G.A. and Johnson, D.E. (1984).Analysis of Messy Data Designed Experiments vol. 1.Van Nostrand Reinhold Company, New York.
Pesarin, F. (1992). A resampling procedure for nonparametric combination of several dependent testsJ. Ital. Statist. Soc. 187–101.
Pesarin, F. (1999).Permutation testing of multidimensional hypotheses by nonparametric combination of dependent tests.CLEUP, Padua.
Salmaso, L. (2000). Synchronized permutation tests in 2k factorial designsInternational Journal of Applied Science and Computations(toappear).
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Mazzaro, D., Pesarin, F., Salmaso, L. (2001). Permutation Tests for Effects in Unbalanced Repeated Measures Factorial Designs. In: Atkinson, A.C., Hackl, P., Müller, W.G. (eds) mODa 6 — Advances in Model-Oriented Design and Analysis. Contributions to Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-57576-1_20
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DOI: https://doi.org/10.1007/978-3-642-57576-1_20
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-1400-2
Online ISBN: 978-3-642-57576-1
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