Question

The following data summarize the results from an independent-measures study comparing three treatment conditions.

a. Use an ANOVA with α = 0.05 to determine whether there are any significant differences among the three treatment means.
b. Calculate η^2 to measure the effect size for this study.
a. There are significant differences among the three treatment means.
b. Effect size η^2 = [calculate and provide value]

Answer 1

To determine if there are significant differences among the three treatment means, conduct an ANOVA test and calculate the effect size using the formula η^2 = SSbetween / SStotal.

Step-by-step explanation:

To determine if there are any significant differences among the three treatment means, we can conduct an ANOVA test with α = 0.05. The ANOVA table will provide us with the F statistic and p-value. If the p-value is less than the significance level, we can conclude that there are significant differences among the means. To calculate the effect size, we can use the formula η^2 = SSbetween / SStotal. Plug in the values from the ANOVA table to obtain the effect size.