# hw2 - Stat 511 Homework 2 corrected Spring 2011 Due 11am...

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Unformatted text preview: Stat 511 Homework 2 - corrected Spring 2011 Due: 11am, Monday, 24 Jan 2011 1. Consider a factor effects model for a study with a balanced two-way factorial treatment design: Y ijk = μ + α i + β j + αβ ij + ijk , for i = 1 , 2, j = 1 , 2 , 3, and k = 1 , 2. The “LSMEANS” for the two row means are μ + α 1 + ( β 1 + β 2 + β 3 ) / 3 + ( αβ 11 + αβ 12 + αβ 13 ) / 3 and μ + α 2 + ( β 1 + β 2 + β 3 ) / 3 + ( αβ 21 + αβ 22 + αβ 23 ) / 3. The X matrix is: 1 1 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1 Are the two LSMEANS estimable? If so, give vectors A (one for each LSMEANS) that demonstrate that each is estimable.demonstrate that each is estimable....
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hw2 - Stat 511 Homework 2 corrected Spring 2011 Due 11am...

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