ABSTRACT
To demonstrate the sort of data analysed by the approach discussed in this chapter, and the power of our methods, we begin with an example that implements our approach.
Table 6.1 Firmness ranking of five canned peach products
Canning Treatment
Judge A B C D E
1 1 2 3 4 5 2 1 2 3 5 4 3 1 4 5 2 3 4 1 3 4 5 2 5 1 2 3 5 4 6 1 3 5 2 4 7 1 5 4 3 2 8 1 2 3 5 4 9 1 2 4 3 5 10 1 5 2 4 3
Peaches Example. O’Mahony (1986, p. 340) gave an example where ten expert judges evaluated the firmness of sliced peaches canned under five different conditions. The results are given in Table 6.1, along with, in Table 6.2, the same data in terms of the number of times each rank is assigned to each product. In Table 6.3 we give Friedman’s statistic, a new dispersion statistic and a residual, with their asymptotic chi-squared pvalues and the corresponding p-values found by simulation.
