Question

Answer the within-subjects ANOVA questions using the data below. Use α = 0.05.

1	2	3	4
53 49 47 37 51 34 44	44 39 36 34 39 30 34	23 42 39 37 36 34 47	25 35 34 27 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.

1) At least one week differs on the GRE verbal score.

2) No week is different on GRE verbal score.    

Answer 1

ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Rows	298.71	6	49.79	1.62	0.1992	2.66
Columns	750.43	3	250.14	8.13	0.0012	3.16
Error	553.57	18	30.75
Total	1602.71	27

SS_BG = 750.43 ; df_BG =3
SS_BS = 298.71 ; df_BS =6
SS_E = 553.57; df_E =18
SS_T = 1602.71; df_T =27

b)

critical value = ___3.16________; test statistic = ____8.13________
Decision:  ---Select--- Reject H0

c)

η² = 750.43/1602.71 = 0.47 (large)

d)

1) At least one week differs on the GRE verbal score.