Researchers compared protein intake among three groups of postmenopausal women: (1) women eating a standard American diet (STD), (2) women eating a lactoovo- vegetarian diet (LAC), and (3) women eating a strict vegetarian diet (VEG). The mean ± 1 sd for protein intake (mg) is presented in Table 12.29. 12.4 Suppose that in the general population, 70% of vegetarians are lacto-ovo-vegetarians, whereas 30% are strict vegetarians. Perform a statistical procedure to test whether the contrast L = 0.7y2 + 0.3y3 − y1 is significantly different from 0. What does the contrast mean?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Researchers compared protein intake among three groups of postmenopausal women: (1) women eating a standard American diet (STD), (2) women eating a lactoovo- vegetarian diet (LAC), and (3) women eating a strict vegetarian diet (VEG). The mean ± 1 sd for protein intake (mg) is presented in Table 12.29.

12.4 Suppose that in the general population, 70% of vegetarians are lacto-ovo-vegetarians, whereas 30% are strict vegetarians. Perform a statistical procedure to test whether the contrast L = 0.7y2 + 0.3y3 − y1 is significantly different from 0. What does the contrast mean?
12.5 Using the data in Table 12.29, perform a multiplecomparisons procedure to identify which specific underlying means are different.

TABLE 12.29 Protein intake (mg) among three
dietary groups of postmenopausal
women
Group
Mean
sd
STD
75
10
LAC
57
13
10
VEG
47
17
6
Transcribed Image Text:TABLE 12.29 Protein intake (mg) among three dietary groups of postmenopausal women Group Mean sd STD 75 10 LAC 57 13 10 VEG 47 17 6
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