A Relationship Between the One-Way MANOVA Test Statistic and the Hotelling Lawley Trace Test Statistic

Don, Hasthika S. Rupasinghe Arachchige

doi:10.5539/ijsp.v7n6p124

IJSP

2018

DOI: 10.5539/ijsp.v7n6p124

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A Relationship Between the One-Way MANOVA Test Statistic and the Hotelling Lawley Trace Test Statistic

Hasthika S. Rupasinghe Arachchige Don¹

Abstract: The One-Way MANOVA model is a special case of the multivariate linear model, and this paper shows that the One-Way MANOVA test statistic and the Hotelling Lawley trace test statistic are equivalent if the design matrix is carefully chosen.

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Application of functional ANOVA and functional MANOVA

Kim

2022

KJAS

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Functional data is collected in various fields. It is often necessary to test whether there are differences among groups of functional data. In this case, it is not appropriate to explain using the point-wise ANOVA method, and we should present not the point-wise result but the integrated result. Various studies on functional data analysis of variance have been proposed, and recently implemented those methods in the package fdANOVA of R. In this paper, I first explain ANOVA and multivariate ANOVA, then I will introduce various methods of analysis of variance for univariate and multivariate functional data recently proposed. I also describe how to use the R package fdANOVA. This package is used to test equality of weekly temperatures in Seoul and Busan through univariate functional data ANOVA, and to test equality of multivariate functional data corresponding to handwritten images using multivariate function data ANOVA.

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Application of functional ANOVA and functional MANOVA

Kim

2022

KJAS

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A Relationship Between the One-Way MANOVA Test Statistic and the Hotelling Lawley Trace Test Statistic

Abstract: The One-Way MANOVA model is a special case of the multivariate linear model, and this paper shows that the One-Way MANOVA test statistic and the Hotelling Lawley trace test statistic are equivalent if the design matrix is carefully chosen.

Cited by 1 publication

References 5 publications

Application of functional ANOVA and functional MANOVA

Application of functional ANOVA and functional MANOVA

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