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Precautions on the analysis of covariance in mixed design: using KwakStat and SPSS

The Korean Journal of Cognitive and Biological Psychology / The Korean Journal of Cognitive and Biological Psychology, (P)1226-9654; (E)2733-466X
2011, v.23 no.2, pp.229-238
https://doi.org/10.22172/cogbio.2011.23.2.003

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Abstract

This study examined several problems when an Analysis of Covariance applies to a mixed design involving repeated measures variables, and suggested solutions for these problems. According to Keppel and ZeDeck (1989), except for the special case, the result of the standard Analysis of Variance(ANOVA) and that of the ANCOVA should not be different for the effects of repeated-measures variables. However, an ANCOVA using SPSS ver. 18.0 with sample data yielded different results using a standard ANOVA for within-subject variables. Actually, an ANCOVA using a Java Script program incorporating the statistical procedure by Keppel(1991) obtained different results from those with SPSS. However, results using SAS package where no interaction between repeated measure and covariate is assumed yielded the same results of KwakStat. It is concluded that whether the interaction between repeated measures variable and covariate variable is assumed or not may yield quite different results. Finally, several solutions were proposed to overcome these problems.

keywords
분산분석, 공분산분석, 반복측정 변수, 피험자내 변수, 피험자간 변수, analysis of covariance, analysis of variance, mixed design, repeated-measures, within-subjects variable

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The Korean Journal of Cognitive and Biological Psychology