354as4w11 - STAT 3504 Assignment 4 DUE: Wednesday March 23...

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STAT 3504 Assignment 4 DUE: Wednesday March 23 1. The following is a partial analysis of variance table for a two-factor factorial study with factor A having 4 levels, factor B having 3 levels, and a sample of n = 3 observations of the response per treatment. Given that SSTR = 170, complete the ANOVA table, including the expected mean squares. Source d.f. S.S. M.S. EMS F* Factor A 40 Factor B 20 Interaction Error Total 230 2. The following sample data stem from two-factor factorial study. a) Give the ANOVA model for the study. b) Prepare an estimated treatment means plot. Does it appear that the factors interact? c) Set up the ANOVA table, , and carry out all appropriate tests for factor effects. In each case state the null and alternative hypotheses, the decision rule and the conclusion. Use a = .01. d) Assuming the interactions are not removeable, use the Tukey procedure to obtain all appropriate pairwise comparisons with family significance level a = .01. (Don’t forget to state your conclusions.) Factor A Factor B 1 2 1 4, 6, 5 10, 12, 11 2 12,13,11 7, 7, 8 038 1 = Y 2 ijk
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3. A major university is interested in the effect on GMAT scores of
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354as4w11 - STAT 3504 Assignment 4 DUE: Wednesday March 23...

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