7. Flour production experiment, continued Consider again the flour production experiment of Sect. 16.5. The data were given in Table 16.11 (p. 590), along with the statistics y.z and 100 log10(sz) computed for the observations at each design-factor combination z.

(a) Plot log10(sz) versus log10(y.z), and use the methods of Sect. 5.6.2 to determine an appropriate variance-stabilizing transformation for these data. (Use of log10 is equivalent to use of ln for choosing a transformation.)

(b) Repeat the first analysis of variance of Sect. 16.5, for which the response variable was y.z, after applying the transformation determined in part

(a) to the observations yhz. Compare your conclusions with those reached in Sect. 16.5.

(c) Repeat the second analysis of variance of Sect. 16.5, for which the response variable was 100 log10(sz), after applying the transformation determined in part

(a) to the observations yhz. Compare your conclusions to those reached in Sect. 16.5.