STAT 430 – Assignment 2 - People.stat.sfu.ca
STAT 430 – Assignment 2 - People.stat.sfu.ca
STAT 430 – Assignment 2 - People.stat.sfu.ca
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(a). Analyze the data from this experiment. Hint: Carry out an ANOVA and a suitable hypothesis<br />
test.<br />
(b). Use the Fisher LSD method to make comparisonamong the three designs to determine specifi<strong>ca</strong>lly<br />
which designs differ in the mean response rate.<br />
(c). Analyze the residuals from this experiment.<br />
3. Find all standard Latin squares of side 5 with the following form<br />
A B C D E<br />
B C D<br />
C<br />
D<br />
E<br />
4. Using the notation in class, show that Var(ˆτ j −ˆτ i ) = (2k/(λa))σ 2 for a BIBD. If the experiment is run<br />
as a complete randomized block design, we <strong>ca</strong>n show that Var(ˆτ j − ˆτ i ) = Var(ȳ j. −ȳ i. ) = 2σ 2 /b. Now,<br />
prove that 2k/(λa) > 2/b.<br />
2
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