Which of the following are possible statistically significant findings from a 2 X 2 factorial design?
a.
two main effects but no interaction
b.
no main effect for either factor but an interaction
c.
All of the above are possible
d.
two main effects and an interaction
my answer would be C am i correct
Yes, you are correct. All of the options mentioned are possible statistically significant findings from a 2 X 2 factorial design.
a. Two main effects but no interaction: This means that both factors in the design have a significant effect on the outcome variable, but there is no significant interaction between the factors. Each factor independently affects the outcome variable.
b. No main effect for either factor but an interaction: In this case, neither factor has a significant main effect on the outcome variable individually. However, there is a significant interaction between the factors, indicating that they interact to influence the outcome variable.
c. All of the above are possible: This option acknowledges the possibility of both a) two main effects but no interaction and b) no main effect for either factor but an interaction. It encompasses all possible combinations of main effects and interactions.
d. Two main effects and an interaction: This refers to a situation where there are significant main effects for both factors, as well as a significant interaction between the factors. This means that each factor has an independent effect on the outcome variable, and the factors also interact to influence the outcome variable.