Question: Refer to Case hardening Problem 24.6. Assume that fixed ANOVA model (24.14) is appropriate.

1. Prepare $A B$ plots of the estimated treatment means \(\bar{Y}_{i j k}\). in the format of Figure 24.5b. Does it appear that any interactions are present? Any main effects?
2. Obtain the analysis of variance table.
3. Test for three-factor interactions; use \(\alpha=.025\). State the alternatives, decision rule, and conclusion. What is the \(P\) -value of the test?
4. Test for $A B, A C$, and $B C$ interactions. For each test, use \(\alpha=.025\) and state the alternatives, decision rule, and conclusion. What is the \(P\) -value of each test?
5. Test for $A, B$, and \(C\) main effects. For each test, use \(\alpha=.025\) and state the alternatives, decision rule, and conclusion. What is the \(P\) -value of each test?
6. State the set of conclusions that can be reached from the tests in parts (c), (d), and (e). Obtain an upper bound for the family level of significance for the set of tests; use the Kimball inequality (24.25).
7. Do the results in the results in part (f) confirm your graphic analysis in part (a)?

Price: $2.99

Solution: The downloadable solution consists of 10 pages
Deliverable: Word Document