Suppose that you conduct a study with three conditions and w

Suppose that you conduct a study with three conditions and want to conduct an ANOVA to compare the means for the three conditions. The scores within each condition are not normally distributed and there are 10 scores per condition. In this case, what would you do?

a. Collect more data to increase the number of scores in each condition to 30.

b. Run the ANOVA. There are thirty scores in the study.

c. Compute a series of t-tests.

d. Compute a Spearman correlation.

Solution

Suppose that you conduct a study with three conditions and want to conduct an ANOVA to compare the means for the three conditions. The scores within each condition are not normally distributed and there are 10 scores per condition. In this case, what would you do?

a. Collect more data to increase the number of scores in each condition to 30.

b. Run the ANOVA. There are thirty scores in the study.

c. Compute a series of t-tests.

d. Compute a Spearman correlation.

We have to collect more data to increase the number of scores in each condition to 30.

The central limit theorem states that the sampling distribution of any statistic will be normal or nearly normal, if the sample size is large.