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Pages from Solutions

# Pages from Solutions - Solutions from Montgomery D C(2001...

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Solutions from Montgomery, D. C. (2001) Design and Analysis of Experiments , Wiley, NY ( ) = = + = 4 1 83 59 i . i i .. . y ˆ y ˆ , R τ µ τ µ with 4 degrees of freedom. ( ) ( ) ( ) Blocks SS . . . , R , , R , R = = = = 95 78 83 59 78 138 τ µ β τ µ τ µ β with 7-4=3 degrees of freedom. Source DF SS (exact) SS (approximate) Tips 3 39.53 39.98 Blocks 3 78.95 79.53 Error 8 6.22 6.22 Total 14 125.74 125.73 Note that for the exact analysis, . E Blocks Tips T SS SS SS SS + + 4-31 An engineer is studying the mileage performance characteristics of five types of gasoline additives. In the road test he wishes to use cars as blocks; however, because of a time constraint, he must use an incomplete block design. He runs the balanced design with the five blocks that follow. Analyze the data from this experiment (use α = 0.05) and draw conclusions. Car Additive 1 2 3 4 5 1 17 14 13 12 2 14 14 13 10 3 14 13 14 9 4 13 11 11 12 5 11 12 10 8 There are several computer software packages that can analyze the incomplete block designs discussed in this chapter.

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