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Immobilization of free-ranging white-tailed deer by drugs allows researchers the opportunity to closely examine deer and gather valuable physiological information. In the study Influence of Physical. Restraint and Restraint Facilitating Drugs on Blood Measurements of White-Tailed Deer and Other Selected Mammals conducted at the Virginia Polytechnic Institute and State University, wildlife biologists tested the "knockdown" time (time from injection to immobilization) of three different immobilizing drugs. Immobilization, in this case, is defined as the point where the animal no longer has enough muscle control to remain standing. Thirty male white-tailed deer were randomly assigned to each of three treatments. Group A received 5 milligrams of liquid succinylcholine chloride (SCC); group B received 8 milligrams of powdered SCC; and group C received 200 milligrams of phencyclidine hydrochloride. Knockdown times, in minutes. were recorded here. Perform an analysis of variance at the 0.01 level of significance and determine whether or not the average knockdown time for the 3 drugs is the same.

An investigation was conducted to determine the source of reduction in yield of a certain chemical product. It was known that the loss in yield occurred in the mother liquor, that is, the material removed at the filtration stage. It was felt that different blends of the original material may result in different yield reductions at the mother liquor stage. The following are results of the percent reduction for 3 batches at each of 4 preselected blends: (a) Perform the analysis of variance at the \(\alpha=0.05\) level of significance. (b) Use Duncan's multiple-range test to determine which blends differ. (c) Do part (b) using Tukey's test.

Assuming a random effects model, show that $$ E(S S T r)=(r-1)\left(\sigma^{2}+r \sigma_{r}^{2}\right) $$ for the Latin square design.