Question
Suppose now a different experiment was conducted to examine the effect of a set of 10 treatments on subjects. 85 subjects were part of the
Suppose now a different experiment was conducted to examine the effect of a set of 10 treatments on subjects. 85 subjects were part of the study and randomly assigned one of the 10 treatments (treatments are labelled A, B, C, D, E, F, G, H, I and J). The treatments have already been analysed with an ANOVA model and was found to have a statistically significant result requiring a more in-depth analysis looking at all the pairwise comparisons between treatments. Assuming the ANOVA analysis is valid, use the information above and the Bonferroni table below to answer the following questions:
i. What is the total number of pairwise comparisons for this situation?
ii. An overall significance level of =0.05 is desired. Using a Bonferroni adjustment, what should the individual significance level, be for each individual pairwise test? Write your answer to at least 3 decimal places.
iii. Compute the Bonferroni adjusted t-quantile for this situation.
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