Please show calculation including formula that are involed a

Please show calculation (including formula that are involed) and steps

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

Here we are given that the three data sets.

We have to do ANOVA and we know that there are equal number of observations in the ANOVA for that we are given that take the first 8 observations for each group.

We can do this in MINITAB :

Steps are :

STAT -->ANOVA --> general linear model --> response : A --> Model : B,C --> Covariates : B,C --> Comparison : Tukey and Boneferroni --> Resullts : Analysis of variance table --> Storage : residuals --> ok

This will gives output as

————— 11/22/2015 8:24:09 PM ————————————————————
T

General Linear Model: A versus

Factor Type Levels Values

Analysis of Variance for A, using Adjusted SS for Tests

Source DF Seq SS Adj SS Adj MS F P
B 1 0.001749 0.000617 0.000617 0.08 0.783
C 1 0.001385 0.001385 0.001385 0.19 0.682
Error 5 0.036553 0.036553 0.007311
Total 7 0.039688

S = 0.0855026 R-Sq = 7.90% R-Sq(adj) = 0.00%

Here we test the hypothesis that all means are equal versus one of the mean is different.

Let us consider alpha = 0.05

Here for factor B and C, P-value > alpha

fail to reject H0 at 5% level of significance.

That is the means are equal.