# Question: Fill in the details of the Proof of Theorem 15 5

Fill in the details of the Proof of Theorem 15.5.

Theorem 15.5

Where i.. is the mean of the observations of the ith value of the first treatment, ·j· is the mean of the jth value of the second treatment, ..k is the mean of the kth replicate, ij· is the mean of the ith and jth values of the two treatments (averaged over the replicates), and … is the grand mean of all abr observations.

Theorem 15.5

Where i.. is the mean of the observations of the ith value of the first treatment, ·j· is the mean of the jth value of the second treatment, ..k is the mean of the kth replicate, ij· is the mean of the ith and jth values of the two treatments (averaged over the replicates), and … is the grand mean of all abr observations.

**View Solution:**## Answer to relevant Questions

Prove Theorem 15.6. Theorem 15.6 Where Ti.., T·j· , and T..k are the totals of the values obtained for treatment A, treatment B, and the replicates, respectively, and Tij· is the sum over replicates obtained for values ...Three groups of six guinea pigs each were injected, respectively, with 0.5 milligram, 1.0 milligram, and 1.5 milligrams of a new tranquilizer, and the following are the numbers of minutes it took them to fall asleep: Test at ...The following are the cholesterol contents in milligrams per package that four laboratories obtained for 6- ounce packages of three very similar diet foods: Perform a two- way analysis of variance and test the null ...Perform a multiple-range test to determine the nature of the differences among the three detergents in Example 15.1. Use the 0.01 level of significance. With reference to Exercise 15.3, show that the computing formulas for the sums of squares are AndPost your question