Construct a set of orthogonal contrasts for the data in Problem 4-27. Compute the sum of squares

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Construct a set of orthogonal contrasts for the data in Problem 4-27. Compute the sum of squares for each contrast.


Problem 4-27. 

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 3 4 1 17 14 13 12 2 14 14 13 10 3 12 13 12 9. 4 13 11 11 12 5 11 12 10 8 2.

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