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

Multiple Choice

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.