The article cited in Exercise 4 also investigated the effects of the factors on glucose consumption (in g/L). A single measurement is provided for each combination of factors (in the article, there was some replication). The results are presented in the following table. Glucose Consumption 68.0 -1 -1 -1 -1 -1 77.5 -1 -1 98.0 1. 1. -1 98.0 -1 -1 74.0 -1 77.0 -1 97.0 98.0 Compute estimates of the main effects and the interactions. a. Is it possible to compute an error sum of squares? Explain. 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. Ъ. C.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
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The article cited in Exercise 4 also investigated the effects of the factors on glucose
consumption (in g/L). A single measurement is provided for each combination of factors (in
the article, there was some replication). The results are presented in the following table.
Glucose Consumption
68.0
-1
-1
-1
-1
-1
77.5
-1
-1
98.0
1.
1.
-1
98.0
-1
-1
74.0
-1
77.0
-1
97.0
98.0
Compute estimates of the main effects and the interactions.
a.
Is it possible to compute an error sum of squares? Explain.
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.
Ъ.
C.
Transcribed Image Text:The article cited in Exercise 4 also investigated the effects of the factors on glucose consumption (in g/L). A single measurement is provided for each combination of factors (in the article, there was some replication). The results are presented in the following table. Glucose Consumption 68.0 -1 -1 -1 -1 -1 77.5 -1 -1 98.0 1. 1. -1 98.0 -1 -1 74.0 -1 77.0 -1 97.0 98.0 Compute estimates of the main effects and the interactions. a. Is it possible to compute an error sum of squares? Explain. 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. Ъ. C.
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