Question

Answer the one-way ANOVA questions using the data below. Use α = 0.01.

1	2	3	4
53 49 46 42 51 34 44	44 39 36 34 23 30 12	46 42 39 37 43 34 47	25 32 30 27 33 28 31

a) Compute the preliminary statistics below.
SS_BG =  ;   df_BG =  
SS_WG =  ;   df_WG =  
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 mean is different from another.None of the means differed from one another.     

e) Regardless of the H₀ decision in b), conduct Tukey's post hoc test for the following comparisons:
1 vs. 4: difference =  ; significant:  ---Select--- Yes No
2 vs. 4: difference =  ; significant:  ---Select--- Yes No

f) Regardless of the H₀ decision in b), conduct Scheffe's post hoc test for the following comparisons:
1 vs. 2: test statistic =  ; significant:  ---Select--- Yes No
3 vs. 4: test statistic =  ; significant:  ---Select--- Yes No

Answer 1