hw2 - Stat 511 Homework 2 - corrected Spring 2011 Due:...

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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 = + i + j + ij + ijk , for i = 1 , 2, j = 1 , 2 , 3, and k = 1 , 2. The LSMEANS for the two row means are + 1 + ( 1 + 2 + 3 ) / 3 + ( 11 + 12 + 13 ) / 3 and + 2 + ( 1 + 2 + 3 ) / 3 + ( 21 + 22 + 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:...

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