midterm.05 - Midterm 1. Consider a RCBD comparing a control...

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Unformatted text preview: Midterm 1. Consider a RCBD comparing a control to new treatments A, B, C, and D. Under the usual ANOVA null hypothesis H o : 1 = ... = a , suppose the experimenter wants to be able to detect when each treatment mean is k units greater than the control mean at = . 01. (a) Find the noncentrality parameter for the researchers alternative as a function of k . (b) Conduct an analysis of the pilot study below. (c) Write a SAS program to compute power for various choices of k and b . Use an estimate of from the pilot study. Construct a contour plot with k and b as the coordinate axes. (d) How many blocks would we need to detect k = . 1, k = . 2, k = . 3 with 80% power? Block Treatment 1 2 3 Control 9.60 9.61 9.52 A 9.75 9.64 9.79 B 9.87 9.83 9.60 C 9.72 9.82 9.69 D 9.56 9.90 9.87 2. Consider the following SAS output from analysis of a two-way model. (a) Compute variance components assuming both factors are random....
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This note was uploaded on 10/01/2009 for the course STAT stat706 taught by Professor Johnm.grego during the Spring '08 term at South Carolina.

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midterm.05 - Midterm 1. Consider a RCBD comparing a control...

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