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Homework 7

# Homework 7 - STAT 502 Assignment#7 Name SCORE of 40...

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STAT 502 – Assignment #7 Name: ____________________________ SCORE: ____ of 40 Homework Problems—These should be done individually! #1. (5 points) An experiment is done where 4 treatments are randomly and equally assigned to 24 experimental units. Suppose that ( 29 2 .. 3330 ij Y Y - = ∑∑ ( 29 2 . .. 894 i n Y Y - = Construct the ANOVA table and test whether there are any significant treatment effects at the alpha = 0.01 level. #2. (12 points) An experiment was conducted as described in Problem 17.10. Instead of 3 replicates samples at each location we took four – resulting in a total sample size of 16. SAS Output for analysis is given below. Please answer the following questions: a. There are 7 blanks in the ANOVA table and 1 blank in the parameter estimates section. Please fill these in. Why is the note (at the bottom) generated? b. Utilize the SAS output to obtain estimates for the parameters in the cell means model. c. Utilize the SAS output to obtain estimates for the parameters in the factor effects model. d. Conduct the model F test in terms of the factor effects model. Write your hypotheses in terms of the “alphas” and make sure to state your conclusion in the context of the problem.

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