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.
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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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