Twenty one young asthmatic volunteers were studiled to assets the short-term eff

Question

Twenty one young asthmatic volunteers were studiled to assets the short-term effects of sulfur dioxide (SO_2) exposure under various conditions. Examine the dataset presented below. Conduct an an analysis of variance with lung-function group as the explanatory variable and bronchial reactivity to SO_2 at the response variable. a. Find the estimated mean bronchial reactivity to SO_2 for each group. b. Construct the ANOVA table and give a complete write up of the main ANOVA hypothesis test and results. c. Run the diagnostic plots and explain the results. d. Run pairwise t tests, with an appropriate adjustment for multiple tests. Summarize your results in a letterplot.

Explanation / Answer

(a)

Estimated mean of group A is

   (20.8+4.1+30+24.7+13.8+28.1+10.3)/7

=131.8/7

=18.8285

Estimated mean of group B

=(92+2+2.5+6.1+7.5+5.1+2.2)/7

=34.6/7

=4.9428

Estimated mean of group C

(7.5+7.5+11.9+4.5+3.1+8+4.7)/7

=47.2/7

=6.7428

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