Mean Differences

Take the following information and compute the Tukey’s HSD and determine where the mean differences are between the treatments. Assume an alpha α = .01

Source
SS
df
MS
F
Between
48
2
24
F = 35.82
Within
16
24
0.67
Total
64
26
 

M1 =    6  M2 =    5   M3 =  3
HSD =
M1 – M2
M1 – M3
M2 – M3

Which ones appear to be significantly different?

What is the calculated HSD for this scenario?

What is the mean difference between the mean of group 1 and group 3?

What is the mean difference between the mean of group 1 and group 2?

What is the mean difference between the mean of group 2 and group 3?

Which groups are significantly different from each other?

What is the “q” value used in this analysis?

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