A student researcher conducts a study that is analyzed using a two-way between-groups ANOVA.Unfortunately, none of the three F statistics were statistically significant.The student is confident that there is something to her research question, and she wonders if she simply didn't collect enough data to detect anything.She computes effect size measures and gets the following values: 0.012 for the first main effect, 0.073 for the second main effect, and 0.0017 for the interaction.If she were to conduct additional research, what would you recommend she pursue?
A) the interaction because it has a strong effect size
B) the first main effect because it has a small effect size
C) the second main effect because it has a medium effect size
D) the interaction because its significance would overshadow both main effects

Question

Quizplus · Accepted Answer

The effect size for the second main effect is medium, which suggests that there may be a meaningful relationship between that variable and the outcome. Additionally, since none of the F statistics were statistically significant, it may be more fruitful for the student to focus on a variable that has a moderate effect size rather than one with a very small effect size. The interaction, even though it has the largest effect size, should not necessarily be the focus as a statistically non-significant main effect makes it difficult to interpret the interaction.

A Student Researcher Conducts a Study That Is Analyzed Using