Question

The following table shows the results of a repeated-measures analysis of variance, comparing four treatment conditions with a sample of n = 8 participants. Note that several values are missing in the table. What is F for this data?

Source	SS	df	MS
Between	45
Within	135
Bet sub	30
error	105
Total	180

Answer 1

Answer: The following table shows the results of a repeated-measures analysis of variance, comparing four treatment conditions with a sample of n = 8 participants. Note that several values are missing in the table. What is F for this data?

Solution:

Number of treatment, k = 4

Sample, n = 8

Therefore,

N = nk = 8*4 = 32

ANOVA table:

Source	SS	df	MS	F
Between	SSB	k-1	SSB/k-1	MSB/MSE
Within	SSW	N-k	SSW/N-k	MSW/MSE
Between subject	SSBW	n-1	SSBW/n-1
Error	SSE	(N-k)-(n-1)	SSE/(N-k)-(n-1)
Total	SST	N-1

ANOVA table:

Source	SS	df	MS	F
Between	45	3	15	3
Within	135	28	4.8214	0.9643
Between subject	30	7	4.2857
Error	105	21	5
Total	180	31

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