If ANOVA tests the homogeneity of means then why the test statistics involves the standard deviation ... F=MSSE/MSST only involves variance ... is there anyone who knows the logic behind it?
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kjetil b halvorsen
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Muneeb Wani
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1As you move the means further apart but keeping the distribution within the groups the same you will increase the between groups variance. – mdewey Dec 20 '16 at 14:47
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Mdewey could u explain please – Muneeb Wani Dec 20 '16 at 14:52
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You are dividing the between by the within to get F (I do not know what your symbols mean). So if you hold within constant and increase between then F increases. – mdewey Dec 20 '16 at 17:22