A researcher conducts a within-groups ANOVA, fails to find a significant F statistic for the independent variable, and finds an R² value of 0.02.What does the effect size statistic tell the researcher about the research? A) The conventions for R² indicate that this is a small effect, which would help to explain the nonsignificant F statistic. B) This is a small effect and a significant F statistic will only be calculated if sample size is small. C) The conventions for R² indicate that this is a medium effect, which would encourage the researcher to collect more data in order to detect a genuine significant finding. D) The conventions for R² indicate that this is a large effect, and the researcher should recheck his or her math for the F statistic.

Question

Quizplus · Accepted Answer

An R² value of 0.02 indicates a small effect size, which can help to explain the nonsignificant F statistic in a within-groups ANOVA. The conventions for R² suggest that effect sizes of 0.01, 0.06, and 0.14 are small, medium, and large, respectively. Therefore, a value of 0.02 would correspond to a small effect size.

A Researcher Conducts a Within-Groups ANOVA, Fails to Find a Significant