Question

Imagine you are examining the effects of 3 doses of medication on migraines against a control....

  1. Imagine you are examining the effects of 3 doses of medication on migraines against a control. You collected the data and ran the analyses. The incomplete ANOVA table below shows your preliminary results:

Sum of Squares

df

Mean Square

Between Groups

1346.63

3

755.87

Within Groups

Total

5387.98

241

A) Complete the ANOVA table.

B) How many participants were enrolled in the study?

C) Calculate your F statistic and p value for the one-way ANOVA procedure, and interpret your results.

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Answer #1

Solution:

A) Complete the ANOVA table.

Answer: The ANOVA table can be completed as:

Sum of Squares Mean Square P-value F-statistic 755.87 -= 44.5141 Between Groups 1346.63 16.9805 0.000 755.87 4041.35 and -= 1

B) How many participants were enrolled in the study?

Answer: There were 242 participants enrolled in the study.

C) Calculate your F statistic and p-value for the one-way ANOVA procedure, and interpret your results.

Answer: The value of the F statistic is:

F = 44.5141

p – value = 0.0000

Since the p-value is less than the significance level, we, therefore, reject the null hypothesis and conclude that the mean effect of 3 doses of medication on migraines is different.

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