midterm.04 - Midterm 1. Consider the following Completely...

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Midterm 1. Consider the following Completely Randomized Design in which percentage yield of a product is studied as the percent of one of its constituents is changed. Use α = . 01 for all tests. (a) Test whether the linear model is better than the intercept model, and whether the linear model is as good as the quadratic model (the quadratic model is equivalent to the cell means model in a 3-level design). (b) Construct separate power curves for each of the above hypotheses, using a reason- able estimate of σ 2 in your power analysis, and assuming the researcher wanted to be able to detect a linear contrast of 1 and a quadratic contrast of 2. What conclusions can you reach about the sample sizes needed to detect effects for the two hypothees? Do the sample sizes seem unreasonable in comparison to the size of the pilot experiment? 15 20 25 23.72 31.48 33.44 24.83 33.12 35.22 21.96 30.96 34.23 24.54 29.98 32.97 23.69 31.99 35.20 2. Consider the following SAS output from analysis of a BIBD.
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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.04 - Midterm 1. Consider the following Completely...

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