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Unformatted text preview: Stat 511 Homework 3 Spring 2011 Due: 11am, Monday Jan 31 1. Consider a factor effects model for a 2way ANOVA with 2 levels (a and b) of temperature and 2 levels of pressure (A and B). The table of cell means is: Pressure Temp. A B a μ aA μ aB b μ bA μ bB Please answer EACH of the following in two ways: in terms of cell means, and in words, e.g. the mean for pressure A, averaged over temperatures. OR, tell me the quantity is nonestimable. (a) If no constraints are put on the parameter vector, the β vector and X matrix are: μ α 1 α 2 β 1 β 2 αβ 11 αβ 12 αβ 21 αβ 22 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 What quantity is estimated by β 1 ? What quantity is estimated by αβ 11 ? (b) If ’set last to zero’ constraints are used, the β vector and X matrix are: μ α 1 β 1 αβ 11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 What quantity is estimated by...
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This note was uploaded on 02/11/2012 for the course STAT 511 taught by Professor Staff during the Spring '08 term at Iowa State.
 Spring '08
 Staff

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