3/2/2024 0 Comments Xlstat add multiple variablesInstead, the MANOVA is sensitive to both the difference of averages between levels of factors and the covariation between explanatory variables. The potential covariation between response variables is not taken into account with several ANOVAs. MANOVA also enables the simultaneous tests of all hypotheses tested by an ANOVA and is more likely to detect differences between levels of factors.įurthermore, the computation of several ANOVAs instead of one MANOVA increases the Type I error, which is the probability that the null hypothesis will be wrongly rejected. ![]() The MANOVA tests the presence of significant differences among combinations of levels of factors on several response variables. The advantage of the MANOVA as opposed to several simultaneous ANOVAs lies in the fact that it takes into account correlations between response variables, which results in a richer use of the information contained in the data. Effects of factors are estimated on a combination of several response variables. With the MANOVA, explanatory variables are often called factors. ![]() ![]() The main difference comes from the nature of the dependent variables: instead of a single one, we can study many of them. The MANOVA uses the same conceptual framework as the ANOVA. Description of the MANOVA in XLSTAT General description
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