Anova And Regression Different Results. Interpretations of ANOVA results. Begingroup You may want to look up the different kinds of sums of squares.
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Therefore we can conclude that at least one species is different than the others in terms of flippers length p-value. Specifically I believe linear regression returns type III sum of squares while anova returns a different kind. What is going on here.
Endgroup assumednormal May 22 12 at 1550.
The sum of squares is divided by its degrees of freedom one and is in turn divided by the mean square residual the pooled within cell varia. In this case the value is 501 which is not far off from 509 so it is good. They are very different. ANOVA is mostly concerned to present differences between categories means in the data while linear regression is mostly concern to estimate a sample mean response and an associated σ 2.