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# chapter12 - 1(a Analysis of Variance Source DF SS Factor 3...

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1 Chapter 12 12–1. (a) Analysis of Variance Source DF SS MS F P Factor 3 80.17 26.72 3.17 0.047 Error 20 168.33 8.42 Total 23 248.50 (b)

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2 (c) Tukey’s pairwise comparisons Family error rate = 0.0500 Individual error rate = 0.0111 Critical value = 3.96 Intervals for (column level mean) - (row level mean) 1 2 3 2 -5.357 4.024 3 -0.857 -0.190 8.524 9.190 4 -2.190 -1.524 -6.024 7.190 7.857 3.357 (d)
3 12–2. (a) Analysis of Variance for Obs Source DF SS MS F P Flowrate 2 3.648 1.824 3.59 0.053 Error 15 7.630 0.509 Total 17 11.278

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4 (b)
5 12–3. (a) Analysis of Variance for Strength Source DF SS MS F P Technique 3 489740 163247 12.73 0.000 Error 12 153908 12826 Total 15 643648 (b) Tukey’s pairwise comparisons Family error rate = 0.0500 Individual error rate = 0.0117 Critical value = 4.20 Intervals for (column level mean) - (row level mean) 1 2 3 2 -423 53 3 -201 -15 275 460 4 67 252 30 543 728 505

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6 12–4. (a) Random effects Analysis of Variance for Output Source DF SS MS F P Loom 4 0.34160 0.08540 5.77 0.003 Error 20 0.29600 0.01480 Total 24 0.63760 (b) σ 2 τ = 0 . 01412 (c) σ 2 = 0 . 0148 (d) 0 . 035 (e)
7 12–5. (a) Analysis of Variance for Density Source DF SS SS MS F P Temp 3 0.13911 0.13911 0.04637 2.62 0.083 Error 18 0.31907 0.31907 0.01773 Total 21 0.45818 (b) ˆ μ = 21 . 70, ˆ τ 1 = 0 . 023 ˆ τ 2 = - 0 . 166 ˆ τ 3 = 0 . 029 ˆ τ 4 = 0 . 059 (c)

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8 12–6. (a) Analysis of Variance for Conductivity Source DF SS MS F P
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chapter12 - 1(a Analysis of Variance Source DF SS Factor 3...

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