Question

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

1	2	3	4
53 49 47 42 51 39 44	44 39 36 34 39 30 29	46 42 39 37 36 34 26	44 35 30 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

Answer 1

applying ANOVA:

Source of Variation	SS	df	MS	F	P-value
between subjects	628.0000	6	104.6667	14.1502	0.0000
between group	740.8571	3	246.9524	33.3863	0.0000
Error	133.1429	18	7.3968
Total	1502.0000	27

a)

SSBG =740.8571

SSBS =628.0000

SSE =133.1429

SST =1502.000

dfBG =3

dfBS =6

dfE =18

dfT =27

b)

critical value = 5.092

test statistic =33.3863

Reject H0

c)

η² = 0.4932

medium effect