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hwk3 - STAT 8200 Design of Experiments for Research Workers...

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STAT 8200 — Design of Experiments for Research Workers Homework 3 – Due Tuesday Oct. 5 SHOW ALL WORK Read Ch. 7, sections 1 & 2 of Ch. 11, and Ch. 6 of our text (the book by Oehlert). In addition do the following problems. 1. Consider the following four plots. Describe what each plot tells you about the assumptions of normality, independence, and constant variance. (Some plots may tell you nothing about the assumptions.). a. Fitted values Standardized residuals 4 6 8 10 12 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 b. Quantiles of Standard Normal resid(m2, type = "p") -2 -1 0 1 2 -1.0 -0.5 0.0 0.5
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c. Quantiles of Standard Normal resid(m3, type = "p") -1 0 1 -6 -4 -2 0 2 4 6 d. Time order Standardized residuals 0 5 10 15 20 25 30 -10 -5 0 5
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2. Do exercise 11.2 from our text (p.275). However, instead of parts (a) and (b) of this exercise, do the following three parts: a. State and test the appropriate null hypothesis of a random effects analysis of these data. State your conclusions. b. Estimate the components of variance in the random effects model for these data.
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