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Precautions in Applying Multivariate Statistics: Analysis of Variance and Multiple Regression Analysis

The Korean Journal of Cognitive and Biological Psychology / The Korean Journal of Cognitive and Biological Psychology, (P)1226-9654; (E)2733-466X
2010, v.22 no.2, pp.247-259
https://doi.org/10.22172/cogbio.2010.22.2.008

Abstract

Due to the recent developments in commercial statistical packages, vast amount of research articles based on multivariate statistics have been published. While the multivariate statistics have advantages over the univariate statistics in dealing with more complicated research hypothesis, abuses and misuses in it's application have been frequently noticed in many researches, due to the underlying complexities. Specifically, it is difficult to understand the basic principle due to the mathematical complexities underlying in it, henceforth making the interpretation of the analysis result be difficult. Even worse, different choice of the analysis methods sometimes result in contradicting results, making the interpretation implausible. This study tried to examine the cases of misuses in the application of multivariate statistics, and to identify the problems. Finally, several precautions for reducing the incidents was proposed.

keywords
multivariate statistics, analysis of variance, analysis of covariance, multivariate analysis of variance, multiple regression analysis, 다변인 통계, 분산분석, 공분산분석, 다변인분산분석, 중회귀분석

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The Korean Journal of Cognitive and Biological Psychology