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The article cited in Exercise 4 also investigated the

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 5E Chapter 9.5

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 5E

The article cited in Exercise 4 also investigated the effects of the factors on glucose consumption (in g/L). A single measurement is provided forcach combination of factors (in the article, there was some replication). The results are presented in the following table.

A

B

C

Glucose Consumption

-1

-1

-1

68.0

1

1

-1

77.5

-1

1

-1

98.0

1

1

-1

98.0

- 1

-1

1

74.0

1

-1

1

77.0

-1

1

1

97.0

1

1

1

98.0

a. Compute estimates of the main effects and the interactions.

b. Is it possible to compute an error sum of squares? Explain.

c. Are any of the interactions among the larger effects? If so, which ones?

d. Assume that it is known from past experience that the additive model holds. Add the sums of squares for the interactions, and use that result in place of an error sum of squares to test the hypotheses that the main effects are equal to 0.

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Chapter 9.5, Problem 5E is Solved
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Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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