The following data are from an experiment comparing three different treatment conditions    Treatment          I II III P     6 9 12 27 N = 18   8 8 8 24 G = 108   5 7 9 21 ΣX2 = 800   0 4 8 12     2 3 4 9     3 5 7 15     M = 4 M = 6 M = 8       T = 24 T = 36 T = 48       SS =42 SS = 28 SS = 34       Assume that the data are from an independent- measures study using three separate samples, each with n = 6 participants. Ignore the column of P totals and use an between-subjects ANOVA with α = .05 to test the significance of the mean differences. (follow the four-step procedure) Now assume that the data are from a repeated- measures study using the same sample of n = 6 participants in all three treatment conditions. Use a repeated-measures ANOVA with α = .05 to test the significance of the mean differences. (follow the four-step procedure) Explain why the two analyses lead to different conclusions Compute partial eta square for problem 2. Report your results of the hypothesis test and effect size in APA format Conduct a post hoc analysis for Problem 2 using HSD.

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The following data are from an experiment comparing three different treatment conditions

 

 Treatment

 

 

 

 

 I

II

III

P

 

 

6

9

12

27

N = 18

 

8

8

8

24

G = 108

 

5

7

9

21

ΣX2 = 800

 

0

4

8

12

 

 

2

3

4

9

 

 

3

5

7

15

 

 

M = 4

M = 6

M = 8

 

 

 

T = 24

T = 36

T = 48

 

 

 

SS =42

SS = 28

SS = 34

 

 

 

  1. Assume that the data are from an independent- measures study using three separate samples, each with n = 6 participants. Ignore the column of P totals and use an between-subjects ANOVA with α = .05 to test the significance of the mean differences. (follow the four-step procedure)

  2. Now assume that the data are from a repeated- measures study using the same sample of n = 6 participants in all three treatment conditions. Use a repeated-measures ANOVA with α = .05 to test the significance of the mean differences. (follow the four-step procedure)

  3. Explain why the two analyses lead to different conclusions

  4. Compute partial eta square for problem 2. Report your results of the hypothesis test and effect size in APA format

  5. Conduct a post hoc analysis for Problem 2 using HSD.
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