6.2 - Exercise 6.2 Analysis of variance of a factorial...

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Unformatted text preview: Exercise 6.2: Analysis of variance of a factorial design 2 1 x 4 1 factorial design • 2 factors • 1 has 2 levels (two stocks of seed) T and H • 1 has 4 levels(four different sowing rates, 1 lb per acre) 1.5(A), 2(B), 2.5(C), 3(D) Factors: • Stock • Sowing Rate • Interaction effect Response: Yield of carrot seeds Design Matrix 1.5 2 2.5 3 Total T 4.20 4.94 4.45 4.36 3.50 4.17 5.40 4.55 5.75 5.15 4.40 3.90 54.78 H 2.82 3.14 3.80 3.74 4.43 2.92 4.82 3.90 4.50 4.57 5.32 4.35 48.31 Total 23.35 23.12 28.92 27.69 103.09 Statiscal Analysis Stock Sowing Yield T 1.5 4.20 T 1.5 4.94 T 1.5 4.45 T 2 4.36 T 2 3.50 T 2 4.17 T 2.5 5.40 T 2.5 4.55 T 2.5 5.75 T 3 5.15 T 3 4.40 T 3 3.90 H 1.5 2.82 H 1.5 3.14 H 1.5 3.80 H 2 3.74 H 2 4.43 H 2 2.92 H 2.5 4.82 H 2.5 3.90 H 2.5 4.50 H 3 4.57 H 3 5.32 H 3 4.35 Treatment Means Cell Avg 1.5 2 2.5 3 T 4.53 4.01 5.23 4.48 H 3.25 3.69 4.41 4.75 Figure 1: Interaction plot stock vs stowing 1.5 2 2.5 3 T H 5.2 4.2 3.2 Stock Sowing Mean Interaction Plot - Data Means for Yield...
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6.2 - Exercise 6.2 Analysis of variance of a factorial...

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