With all the fad diets advertised on TV, a researcher wanted to know if there wa

Question

With all the fad diets advertised on TV, a researcher wanted to know if there was a significant difference in weight loss depending on which new fad diet you were on. Over the course of 2 weeks, a total of 15 male volunteers who weighed the same and had similar lifestyles were broken up into 3 groups: Diet 1, Diet 2, and Diet 3. Conduct an ANOVA on the following table with alpha = 0.5 to determine if at least one of the diets has significantly different weight loss compared to the other two.

Diet 1 Diet 2 Diet 3

5 12 3

2 10 2

3 8 1

4 4 0

What is SS between?

What is MS between?

What is MS within?

What is the F statistic?

What is your conclusion based on your test statistic?

Complete the table below. Within Total 5. What is SSbetween? a, 45 b. 104 c, 149 d. 194 6. What is MS b, 34.667 d, 74.5 7. What is MS a. 22.5 b, 34.667 8. What is the F test statistic? a. 10.4 b. 0.096 MS

Explanation / Answer

  SS between=104

MS between =52

MS within=5

F statistic=10.4

reject the null; hypothesis

ANOVA Source of Variation SS df MS F P-value F crit Between Groups 104 2 52 10.4 0.004572 4.256495 Within Groups 45 9 5 Total 149 11

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