Question

An experiment has 4 treatments; 9 replicates were obtained for each of the treatments.

Treatment A	Treatment B	Treatment C	Treatment D
-0.28	-0.26	-0.91	-0.02
-0.41	0.25	-0.78	0.27
0.65	-0.02	-0.41	0.13
0.14	0.27	-0.74	-0.24
-0.06	-0.57	0.84	-0.78
0.15	0.85	-0.01	0.62
-0.46	0.59	0.07	1.1
0.59	-0.57	0.29	1.03
-0.01	0.02	-0.29	-0.56

A) Do the ANOVA computations on this data; what is the P-value?

B) On the basis of this P-value, do you reject the hypothesis that the means of the 4 treatments are the same at an α = 0.05confidence level?

Answer 1

Based on the experiment data with 4 treatments and 9 replications,

To test: Vs H_a: At least one pair of means differ

where, are the means of 4 treatment groups.

Using excel,

A) P value for the ANOVA is obtained as 0.4833

B) Since at 5% level of significance, p value of the test = 0.4833 > 0.05, it implies that the test is not significant.There is enough evidence to support the null hypothesis; H₀ may be accepted.

It may be concluded that the means of the 4 treatments are the same at an α = 0.05confidence level.