engineer is studying the mileage performance characteristics of 5 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.

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An engineer is studying the mileage performance characteristics of 5 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.

 

Car
Additive 1 2 3 4 5
1 NA 17 14 13 12
2 14 14 NA 13 10
3 12 NA 13 12 9
4 13 11 11 12 NA
5 11 12 10 NA 8

- Verify that this is a balanced incomplete block design

- Obtain the estimates of the treatment means and the treatments effects

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