10th Edition

ISBN: 9780321989178

Author: Neil A. Weiss

Publisher: PEARSON

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Chapter 16.5, Problem 128E

Regarding a Kruskal-Wallis test, fill in the blanks in each of Exercises 16.126-16.128.

16.128 To decide whether the variation among sample mean ranks is large enough to warrant rejection of the null hypothesis of equal population means, we use the ratio of ______ to __________. This ratio is called the __________ -statistic.

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 16.5, Problem 127E

Chapter 16.5, Problem 129E

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Chapter 16 Solutions

Introductory Statistics (10th Edition)

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Solution Summary: The author explains Kruskal-Wallis test is useful if the variation among the sample means is large enough to warrant rejection of the null hypothesis of equal population means.

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