(a) Consider the data of Table 10.16 dealing with the effectiveness of pancreatic supplements on fat absorption. Rank all of the observations from 1 to 24 (i.e., ignoring both treatment and block categories). (a) Carry out an analysis of variance on the ranks obtained above. (b) Compare your analysis with the analysis using the Friedman statistic. What is a potential drawback in the analysis of part (a)? (c) Return to the Friedman ranks in Section 10.3.3 and carry out an analysis of variance on them. How is the Friedman statistic related to SSτ of the ANOVA of the Friedman ranks?
(b) Consider the data in Example 10.5. Rank all 38 observations from lowest to highest and carry out the usual analysis of variance on these ranks. Compare your p-values with the p-values of Table 10.14. In view of Note 10.3, does this analysis give you some concern?
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