13.2.10. Refer to the ra t poison data of Case Study 13.2.2. Partition the treatment sum of squares into three orthogonal contrasts. Let one contrast test the hypothesis that the true acceptance percentage for the plain cornmeal is equal to the true accepta nce percentage for the cornmeal with artifidal roast beef flavoring. Let a second contrast compare the effectiveness of the "buttervanilla'' and "bread" baits. What does the
third contrast lest? Do all testmg al the a = 0.10 level of significance.
13.2.U. Prove the compu ting formulas given in Equations 13.2.2, 13.2.3, and 13.2.4.
13.2.U. Diffe rentiate the function

L = LI)Yij  {J;  JJ,j )2
i.::l j=l
wit h respect to all bk parameters and calculate the least squares estima tes for lhe fJ1 's
and µj's.
13.2.13. True or false:

Ce> E rt.= I:Y.i
i==l )= 1
(b) Either MSTR or MSB or both are greater than or equal to MSE.
13.2.14. For a set of randomized blO(k data comparing k treatments within b blocks, find
(e) E(SSB) (b) E(SSE)
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