Question

Control	Drug A	Drug B
70.73	69.11	68.83
70.78	69.24	68.88
70.93	69.80	69.11
70.96	69.83	69.20
71.08	69.84	69.29
71.09	69.95	69.33
71.25	70.87	69.42
71.36	70.98	69.56

Imagine you are testing for the effects of two experimental drugs relative to a control group on a physiological variable.

a) Conduct an ANOVA on the data set. Show all calculations, table of results, and state your conclusion.

b) Use the Bonferroni-Holm (regardless of whether part "a" is significant or not) to examine all pairwise comparisons. Show all your calculations and state your conclusions.

I did it, but I am unsure if I used the correct formulas and such. If you could show the formulas you used and step by steps that would be greatly appreciated!

Answer 1

a)

H0: There is no significance difference among the means of three groups

H1: There is significance difference among the means of three groups

Let the los be alpha = 5%

From the given data

									Total	Ti^2/ni
Control	70.73	70.78	70.93	70.96	71.08	71.09	71.25	71.36	568.18	40353.56
Drug A	69.11	69.24	69.8	69.83	69.84	69.95	70.87	70.98	559.62	39146.82
Drug B	68.83	68.88	69.11	69.2	69.29	69.33	69.42	69.56	553.62	38311.89
								G=	1681.42	117812.3

Here P-value < alpha 0.05, so we reject H0 thus we conclude that there is significance difference among the means of three groups

b)

From the given data