Statistical Analysis – ANOVA vs. Regression with Continuous and Categorical Factors

anovacategorical datacontinuous datamultiple regressionr

I have 1 categorical factor (3 treatments) and 1 continuous factor (weight) and then I have 5 continuous response variables.

From what I have read, I should not use a two way ANOVA as one of the factors is continuous. Is this correct? Should I be using a Multiple Regression instead?

I was advised that I can use ANOVA, but I'm not sure if this is correct based on what I have read. I could convert the continuous factor to categorical, but I have also read on this site that this is not the preferred option.

My aim with the data is to see if there is a significant difference between the 3 treatments in regards to the response variables, which would be a standard one-way ANOVA, but I also want to see if weight effects the response variables.

My analysis will be with R.

Best Answer

This appendix (Multivariate Linear Models by J. Fox) should help you to deal with your multiple responses (see section 2 with the Iris data illustration).