Question

An analysis is conducted to compare mean time to pain relief (measured in minutes) under four competing treatment regimens. Summary statistics on the four treatments are shown below.

Treatment	Sample Size	Mean Time to Relief	Sample Variance
A	5	33.8	17.7
B	5	27.0	15.5
C	5	50.8	9.7
D	5	39.6	16.8

Complete the following ANOVA Table.

Source of Variation	SS	df	MS	F
Between Groups
Within Groups	3719.48
Total

Answer 1

given data are:-

the grand mean :-

sum of squares between :-

sum of squared errors:-

=[5-1]*(17.7+15.5+9.7+16.8)

= 238.8

the ANOVA table be:-

source of variation	sum of squares	df	mean squares (MS)
Between Groups	SSB = 1524.4	(4-1) = 3	MSB= = 1524.4 / 3 =508.13
Within Groups	SSE= 238.8	(5+5+5+5)-4 = 16	MSE= = 238.8 / 16 = 14.92
total	1763.2	19

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