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Dissertation
Year: 1993 Publisher: Gembloux : Faculté des Sciences Agronomiques. Unité de Statistique et Informatique,
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Book
Year: 1987 Publisher: Washington : Hayward : American Statistical Association ; Institute of Mathematical Statistics,
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Book
ISBN: 0899740154 Year: 1984 Publisher: Fairland : International Co-operative Publishing House,
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Book
ISBN: 0821819100 Year: 1986 Publisher: Providence : American Mathematical Society,
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Book
Year: 1976 Publisher: New York : McGraw Hill,
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Book
Year: 1990 Publisher: Alexandria : Alexandria : American Statistical Association ; Institute of Mathematical Statistics,
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Dissertation
Year: 2005 Publisher: [S.l. : chez l'auteur],
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This study examined the type I error and power properties of usual ANOVA, rank transform and aligned rank transform methods in the context of a balanced 2 x 4 fixed-effect layout. Different versions of F-test and Kruskal-Wallis test are used with four transformations (ranks, Blom normal scores, Van der Waerden normal scores, Savage scores) and three techniques of alignment (least-square, Lehmann, medians). In order to compare the robustness and the power of tests, simulations were employed for a variety of situations (absence or presence of nuisance parameters, small or large sample size, normality or non normality, equal or unequal variances). This study also examined these properties after a normal pre-test (moment test on standardized residuals) and a variance pre-test (Bartlett test or Brown-Forsythe test). The results showed that ANOVA is the more robust test among studies methods for all situations. Even if ANOVA has a moderate inflation in the type I error rate for some situations of unequal variances, non parametric alternatives of that study are not recommended for two-way fixed effects layouts.
Dissertation
Year: 2001
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Book
Year: 1983 Publisher: Sao Paulo : Piracicaba,
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Book
ISBN: 0899740146 Year: 1984 Publisher: Fairland : International Co-operative Publishing House,
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