Analysis of covariance (ANCOVA): model, adjusted vs. observed treatment means, estimated lines, non-parallel lines
4 important questions on Analysis of covariance (ANCOVA): model, adjusted vs. observed treatment means, estimated lines, non-parallel lines
What are two ways to look at analysis of covariance?
-There a specific interest in the relationship between y and x. We want to know whether this relationship is affected by the treatments
What are the extra model assumptions in ANCOVA?
-there is a linear relationship between response y and covariate x
-slope (coefficient of covariate x) is the same for all treatments
-covariate x does not depend on the treatments
What would happen if x is influenced by treatment?
If treatment affects x, then x contains treatment information ANOCVA removes part of the treatment effect when adjusting for x. You distort the true treatment effect
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How do you check whether the parallel lines assumption in ANCOVA is valid, and what do you do depending on the result
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