. Let c1, c2, . . . , cI be numbers satisfying ci 0. Then

Chapter 10, Problem 10.43

(choose chapter or problem)

. Let c1, c2, . . . , cI be numbers satisfying ci 0. Then ci i c11 cII is called a contrast in the is. Notice that with c1 1, c2 1, c3 cI 0, ci i 1 2, which implies that every pairwise difference between is is a contrast (so is, e.g., 1 .52 .53). A method attributed to Scheff gives simultaneous CIs with simultaneous confidence level 100(1 )% for all possible contrasts (an infinite number of them!). The interval for ci i is cix i(c2 i /Ji )1/2 [(I 1) MSE F,I1,nI]1/2 Using the critical flicker frequency data of Exercise 42, calculate the Scheff intervals for the contrasts 1 2, 1 3, 2 3, and .51 .52 3 (this last contrast compares blue to the average of brown and green). Which contrasts appear to differ significantly from 0, and why? 44. Four types of morta

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