Applied Statistics in Business and Economics
5th Edition
ISBN: 9780077837303
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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Chapter 11, Problem 5CR
(a) Sketch the format of a two-factor ANOVA data set without replication. (b) State the hypotheses for a two-factor ANOVA without replication. (c) What is the difference between a randomized block model and a two-factor ANOVA without replication? (d) What do the two F statistics represent in a two-factor ANOVA without replication? (e) What are their degrees of freedom?
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Chapter 11 Solutions
Applied Statistics in Business and Economics
Ch. 11.2 - Using the following Excel results: (a) What was...Ch. 11.2 - Using the following Excel results: (a) What was...Ch. 11.2 - In a one-factor ANOVA with sample sizes n1 = 5, n2...Ch. 11.2 - In a one-factor ANOVA with sample sizes n1 = 8, n2...Ch. 11.2 - Instructions for Exercises 11.5 through 11.8: For...Ch. 11.2 - Instructions for Exercises 11.5 through 11.8: For...Ch. 11.2 - Instructions for Exercises 11.5 through 11.8: For...Ch. 11.2 - Prob. 8SECh. 11.3 - Consider a one-factor ANOVA with n1 = 9, n2 = 10,...Ch. 11.3 - Consider a one-factor ANOVA with n1 = 6, n2 = 5,...
Ch. 11.3 - Instructions for Exercises 11.11 through 11.14:...Ch. 11.3 - Prob. 12SECh. 11.3 - Prob. 13SECh. 11.3 - Prob. 14SECh. 11.4 - In a one-factor ANOVA with n1 = 6, n2 = 4, and n3...Ch. 11.4 - Prob. 16SECh. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.6 - Instructions: For each data set: (a) State the...Ch. 11.6 - Instructions: For each data set: (a) State the...Ch. 11.6 - Prob. 27SECh. 11.6 - Prob. 28SECh. 11 - Explain each term: (a) explained variation; (b)...Ch. 11 - (a) Explain the difference between one-factor and...Ch. 11 - (a) State three assumptions of ANOVA. (b) What do...Ch. 11 - (a) Sketch the format of a one-factor ANOVA data...Ch. 11 - (a) Sketch the format of a two-factor ANOVA data...Ch. 11 - (a) Sketch the format of a two-factor ANOVA data...Ch. 11 - Prob. 7CRCh. 11 - (a) What does a test for homogeneity of variances...Ch. 11 - What is the general linear model and why is it...Ch. 11 - (a) What is a 2k design, and what are its...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - In a market research study, members of a consumer...Ch. 11 - Prob. 47CECh. 11 - (a) What kind of ANOVA is this (one-factor,...Ch. 11 - Here is an Excel ANOVA table for an experiment to...Ch. 11 - Several friends go bowling several times per...Ch. 11 - Air pollution (micrograms of particulate per ml of...Ch. 11 - A company has several suppliers of office...Ch. 11 - Several friends go bowling several times per...Ch. 11 - Are large companies more profitable per dollar of...
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- 8. Recall, from Sect. 2.16.4, the likelihood ratio statistic, Ln, which was defined as a product of independent, identically distributed random variables with mean 1 (under the so-called null hypothesis), and the, sometimes more convenient, log-likelihood, log L, which was a sum of independent, identically distributed random variables, which, however, do not have mean log 1 = 0. (a) Verify that the last claim is correct, by proving the more general statement, namely that, if Y is a non-negative random variable with finite mean, then E(log Y) log(EY). (b) Prove that, in fact, there is strict inequality: E(log Y) < log(EY), unless Y is degenerate. (c) Review the proof of Jensen's inequality, Theorem 5.1. Generalize with a glimpse on (b).arrow_forward3. Prove that, for any random variable X, the minimum of E(X - a)² is attained for a = EX. Provedarrow_forward7. Cantelli's inequality. Let X be a random variable with finite variance, o². (a) Prove that, for x ≥ 0, P(X EX2x)≤ 02 x² +0² 202 P(|X - EX2x)<≤ (b) Find X assuming two values where there is equality. (c) When is Cantelli's inequality better than Chebyshev's inequality? (d) Use Cantelli's inequality to show that med (X) - EX ≤ o√√3; recall, from Proposition 6.1, that an application of Chebyshev's inequality yields the bound o√√2. (e) Generalize Cantelli's inequality to moments of order r 1.arrow_forward
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