Which of the following is not an assumption of the completely randomized ANCOVA

Question

Which of the following is not an assumption of the completely randomized ANCOVA design? Select all that are not assumptions of the completely randomized ANCOVA design.

A. Observations within groups are dependent.

B. Observations within groups are normally distributed.

C. The dependent variable and the covariate are uncorrelated.

D. As values of the dependent variable increase, values of the covariate also increase, or as values of the dependent variable decrease, values of the covariate also decrease, i.e. there is a linear relationship between the dependent variable and covariate.

E. The relationship between the dependent variable and the covariate is unequal within groups.

F. There is an interaction between the covariate and the independent variable.

Explanation / Answer

The following are not an assumption of the completely randomized ANCOVA design, they are:

A. Observations within groups are dependent.

C. The dependent variable and the covariate are uncorrelated.

E. The relationship between the dependent variable and the covariate is unequal within groups.

F. There is an interaction between the covariate and the independent variable.

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