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?
Based on the experiment data with 4 treatments and 9 replications,
To test:
Vs Ha: 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.
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