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http://dx.doi.org/10.5351/KJAS.2022.35.5.579

Application of functional ANOVA and functional MANOVA  

Kim, Mijeong (Department of Statistics, Ewha Womans University)
Publication Information
The Korean Journal of Applied Statistics / v.35, no.5, 2022 , pp. 579-591 More about this Journal
Abstract
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.
Keywords
ANOVA; MANOVA; functional ANOVA; functional data; functional MANOVA;
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