8th Edition

ISBN: 9780101123402

Author: Rosner

Publisher: YUZU

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A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Textbook Question

Chapter 9, Problem 21P

Polyunsaturated fatty acids in the diet favorably affect several risk factors for cardiovascular disease. The Principal dietary polyunsaturated fat is linoleic acid. To test the effects of dietary supplementation with linoleic acid on blood pressure, 17 adults consumed 23 g/day of safflower oil, high in linoleic acid, for 4 weeks. Systolic blood pressure (SBP) measurements were taken at baseline (before ingestion of oil) and 1 month later, with the mean values over several readings at each visit given in Table 9.12.

Table 9.12 Effect of linoleic acid on SBP

Chapter 9, Problem 21P, Polyunsaturated fatty acids in the diet favorably affect several risk factors for cardiovascular

Compare your results in Problems 9.18 and 9.20, and discuss which method you feel is more appropriate here.

9.19 What nonparametric test could be used to test for the effect of linoleic acid on SBP?

9.20 Perform the test in Problem 9.19, and report a p-value.

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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Chapter 9, Problem 20P

Chapter 9, Problem 22P

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Chapter 9 Solutions

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Solution Summary: The author explains that a significant reduction in blood pressure after adopting the diet was found using both the paired t test and the signed rank test.

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