Solved – Explaining variation in a dependent variable based on a factorial experiment

anovainterpretationregression

I have run a factorial type test in a processing plant and have run a forward and backward step regression in R.

How can I use the regression results and the anova created from the regression to know what percent of the measured variation of the dependent variable was caused by the purposeful manipulation of the independent variables?

Best Answer

In an anova context, the partial eta squared will tell what % of the Y variance is explained by a given X when controlling for all other X's. In a regression context, you could refer to the squared partial correlation of the X of interest.

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