13th Edition

ISBN: 9780134613949

Author: MCCLAVE

Publisher: PEARSON

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Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative p…

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Textbook Question

Chapter 12.7, Problem 12.76ACI

Charisma of top-level leaders. Refer to the Academy of Management Journal (August, 2015) study of the charisma of top leaders in business, Exercise 11.28” (p. 633). Recall that data were collected on 24 U.S. presidential elections from 1916 to 2008. The dependent variable of interest was Democratic vote share (y), measured as the percentage of voters who voted for the Democratic candidate in the national election. One of the independent variables of interest was a categorical variable that represented whether or not the presidential election was affected by a World War. A second qualitative variable of interest was whether a Democrat or Republican incumbent was running for president. This incumbent variable was recorded at three levels: Democrat incumbent, Republican incumbent, or no incumbent running.

a. Write a model relating Democratic vote share (y) to the qualitative independent predictor, World War. Use “no World War” as the base level.
b. In terms of the β’s of the model, part a, give an expression for the mean Democratic vote share during all years when there is no World War.
c. In terms of the β’s of the model, part a, give an expression for the mean Democratic vote share during all years when there is a World War.
d. Fit the model, part a, to the data in the file. Is there sufficient evidence to indicate that the mean Democratic vote share during all years when there is a World War differs from the mean when there is no World War? Test using α = .10.
e. Write a model relating Democratic vote share (y) to the qualitative independent predictor, incumbent running. Use “no incumbent running” as the base level.
f. In terms of the β’s of the model, parte, give an expression for the mean Democratic vote share during all years when there is no incumbent running.
g. In terms of the β’s of the model, parte, give an expression for the mean Democratic vote share during all years when a Republican incumbent is running.
h. In terms of the β’s of the model, parte, give an expression for the difference between the mean Democratic vote share for all years when a Democratic incumbent is running and when there is no incumbent running.
i. Fit the model, part e, to the data in the file. Is there sufficient evidence to indicate that the mean Democratic vote share differs depending on the incumbent running? Test using α = .10.

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 12.7, Problem 12.75ACB

Chapter 12.7, Problem 12.77ACI

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Solution Summary: The author explains the regression model relating to the democratic vote share y to a qualitative independent predictor World war.

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