Data set A 707 722 717 707 705 715 702 720 708 747 759 Data

Data set A: 7.07, 7.22, 7.17, 7.07, 7.05, 7.15, 7.02, 7.20, 7.08, 7.47, 7.59.

Data set B: 7.95, 7.86, 7.69, 7.61, 7.71, 7.75, 7.69, 7.33, 7.19, 7.15, 7.12

Data set C: 7.99, 8.31, 8.44, 8.32, 8.27, 8.34, 8.35, 8.26, 8.27, 8.32, 8.22, 8.19

To ensure equal sample size per group use only the first 8 observations in each data set

Imagine you are testing for the effects of two experimental drugs (data sets B and C) relative to a control group (Data set A) 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 to examine all pairwise comparisons. Show all you calculations and state your conclusions.

c) Use the Tukey test to examine all pairwise comparisons. Show all your calculations and state your conclusions

Solution

sOL)

Null hypothesis: All the three data sets means are equal

Alternative hypothesis: All the three datasets means are not equal

Test Statistic:

We use ANOVA one way

Conclusion: P value=0.0000 and alpha=0.05

Hence P value< Alpha at 5% level we reject the null hypothesis, hence we conclude that All the three groups means are different.

B) Bonferroni Test and Tukey test: