Question

Please solve this question step by step.

You can online software like SPSS, but show steps for each part.

If you can't provide step by step answer. Don't bother to answer at all. I should be able to replicate the result.

Answer the within-subjects ANOVA questions using the data below. Use α = 0.01.

1	2	3	4
53 49 47 42 26 34 44	44 39 36 21 39 30 12	46 42 39 37 42 34 47	25 35 30 42 33 28 31

a) Compute the preliminary statistics below.
SS_BG =  ; df_BG =  
SS_BS =  ; df_BS =  
SS_E =  ; df_E =  
SS_T =  ; df_T =  

b) Compute the appropriate test statistic(s) to make a decision about H₀.
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

c) Compute the corresponding effect size(s) and indicate magnitude(s).
η² =  ;  ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

At least one week differs on the GRE verbal score.No week is different on GRE verbal score.    

e) Conduct Tukey's Post Hoc Test for the following comparisons:
2 vs. 3: difference =  ; significant:  ---Select--- Yes No
1 vs. 4: difference =  ; significant:  ---Select--- Yes No

f) Conduct Scheffe's Post Hoc Test for the following comparisons:
1 vs. 3: test statistic =  ; significant:  ---Select--- Yes No
2 vs. 3: test statistic =  ; significant:  ---Select--- Yes No

Answer 1

Performed tukey hsd result graph below

Performed above analysis in R.

All the stats provided in the summary.Since p value of the test is less than 0.05 we have to reject Ho here.