70. In generalization of Problem 66, show how to extend the Dunnett intervals of Problem 69 to the set of all contrasts. [Use the fact that the event Iy; - Yol ::; fj. for i = 1, . . . ,s is equivalent to the event It;_oc;y;\ s AE;_dc;1 for all (co, ... , c.) satisfying t;_oci = 0.) Note. As is pointed out in Problems 45(iii) and 68, the intervals resulting from the extension of the Tukey (and Dunnett) methods to all contrasts are shorter than the Scheffe intervals for the differences for which these methods were designed and for contrasts close to them, and longer for some other contrasts. For details and generalizations, see for example Miller (1981), Richmond (1982), and Shaffer(1977a).