A two-way ANCOVA tests the following three separate hypotheses simultaneously in one analysis:
A) Two of the hypotheses test the significance of the levels of the two IVs separately, after removing the effects of the covariate.
B) The third tests the significance of the interaction of the levels of the two IVs, also after removing the effects of the covariate.
C) The third tests the significance of the interaction of the levels of the IVs and DV after removing the effects of the covariate.
D) (a) and (b) are correct.

Question

Quizplus · Accepted Answer

A two-way ANCOVA indeed tests the significance of the levels of the two independent variables (IVs) separately after accounting for the covariate (A), and it also tests the significance of the interaction between the two IVs after removing the effects of the covariate (B). Therefore, both (A) and (B) are correct, making (D) the correct choice.

A Two-Way ANCOVA Tests the Following Three Separate Hypotheses Simultaneously