3. The data are in the file headache.csv. They are data from a completely randomized design to study the effects of 5 br
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3. The data are in the file headache.csv. They are data from a completely randomized design to study the effects of 5 br
3. The data are in the file headache.csv. They are data from a completely randomized design to study the effects of 5 brands of pills for the relief of headaches. The pills were given to 25 subjects with fever of 38°C or more. The response is the number of hours of relief provided by the pill. Suppose that a one-factor ANOVA model with fixed effects is appropriate for analyzing these data. (a) Provide group statistics for the response according the levels of the explanatory factor, i.e. mean, standard deviation and number of units per treatment. (b) Is the study balanced? Why? (c) Provide a graphical display to the data for this study. Based on the plot, give one or two sentences to describe the effects of the medication. 6 (d) Test for the significance of the treatments effects. Give your conclusion at a = 5. (e) Use Tukey's method for all pairwise comparisons of the treatment means. Use a FWER of a = 5%. Use to Insert and Absorb algorithm to group the treatments that are non-HSD, and give a table of group statistics with the corresponding labels. The analysis suggests which treatments are best?
headache Relief Treatment 5.2 T1 4.7 T1 8.1 T1 6.2 T1 3 T1 9.1 T2 7.1 T2 8.2 T2 6 T2 9.10 T2 3.2 T3 5.8 T3 2.2 T3 3.1 T3 7.2 T3 2.4 T4 3.4 T4 4.1 T4 1 T4 4 T4 7.1 T5 6.6 T5 9.3 T5 4.2 T5 7.6 T5