Researchers compared protein intake among threegroups of postmenopausal women: (1) women eating astandard American diet (STD), (2) women eating a lactoovo-vegetarian diet (LAC), and (3) women eating a strictvegetarian diet (VEG). The mean ± 1 sd for protein intake(mg) is presented in Table 12.29. TABLE 12.29 Protein intake (mg) among threedietary groups of postmenopausalwomenGroupMeansdnSTD7510LAC571310VEG47176 *12.4 Suppose that in the general population, 70% of veg-etarians are lacto-ovo-vegetarians, whereas 30% are strictvegetarians. Perform a statistical procedure to test whetherthe contrast L = 0.7y2 +0.353 – V1 is significantly differentfrom 0. What does the contrast mean?

The test statistic is, t=LSE(L)Where SE(L)=(n1-1)S12+(n2-1)S22+(n3-1)S32N-k…

Answered: *12.4 Suppose that in the general…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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.

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

*12.4 Suppose that in the general population, 70% of veg-
etarians are lacto-ovo-vegetarians, whereas 30% are strict
vegetarians. Perform a statistical procedure to test whether
the contrast L = 0.7y2 +0.353 – V1 is significantly different
from 0. What does the contrast mean?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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