# solution4 - Solution to Homework#4-Stats c151/c225 Winter...

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Solution to Homework #4 ----Stats c151/c225 Winter 2011 5.1 (a) Interaction plot of Q E D × × for dispersion: We should choose E- to reduce dispersion. (b) Q E D Q D B x x x x x x 5445 . 0 5556 . 0 9455 . 0 9313 . 4 ˆ ln 2 + + = σ Choose BDEQ=(-1, 1, -1, -1), 98 . 6 ˆ ln 2 = , 4 2 10 3 . 9 ˆ × = (c) C is the adjustment factor (d) Put BDEQ=(-1, 1, -1, -1) in (4.8) and solve 8 ˆ = y , which gives, x C =2.07. The uncoded value for factor C is 26.07seconds. (e) Both models give the same values of 2 ˆ and y ˆ . The model in this exercise has a lower degree of extrapolation than that of section 5.3. (f) The version of using factor C is preferred because the extrapolated value of C falls in the range [21, 27]. 5.15. (a) The defining contrast subgroup of (i) is 356 1246 12345 = = = I and of (ii) is 3456 1246 1235 = = = I . The resolution of (i) is III and resolution of (ii) is IV. Therefore (ii) is preferable. (b) The complete aliasing patterns are

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solution4 - Solution to Homework#4-Stats c151/c225 Winter...

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