Statistics with JMP: Hypothesis Tests, Anova and Regression

799 Pages·2016·36.84 MB·English

by  Goos P.

STATISTICS WITH JMP
HYPOTHESIS TESTS, ANOVA AND REGRESSION
Peter Goos
University of Leuven and University of Antwerp, Belgium
David Meintrup
University of Applied Sciences Ingolstadt, Germany
This edition first published 2016
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Library of Congress Cataloging-in-Publication Data
Names: Goos, Peter. | Meintrup, David.
Title: Statistics with JMP : hypothesis tests, ANOVA, and regression / Peter
Goos, David Meintrup.
Description: Chichester, West Sussex : John Wiley & Sons, Inc., 2016. |
Includes index.
Identifiers: LCCN 2015039990 (print) | LCCN 2015047679 (ebook) | ISBN 9781119097150 (cloth) |
ISBN 9781119097044 (Adobe PDF) | ISBN 9781119097167 (ePub)
Subjects: LCSH: Probabilities—Data processing. | Mathematical statistics—Data processing. |
Regression analysis. | JMP (Computer file)
Classification: LCC QA273.19.E4 G68 2016 (print) | LCC QA273.19.E4 (ebook) |
DDC 519.50285/53—dc23
LC record available at http://lccn.loc.gov/2015039990
A catalogue record for this book is available from the British Library.
To Marijke, Bas, Loes, and Mien
To Béatrice and Werner

CONTENTS
Preface
Acknowledgments
Part One Estimators and Tests
1 Estimating Population Parameters
1.1 Introduction: Estimators Versus Estimates
1.2 Estimating a Mean Value
1.3 Criteria for Estimators
1.4 Methods for the Calculation of Estimators
1.5 The Sample Mean
1.6 The Sample Proportion
1.7 The Sample Variance
1.8 The Sample Standard Deviation
1.9 Applications
Notes
2 Interval Estimators
2.1 Point and Interval Estimators
2.2 Confidence Intervals for a Population Mean with Known Variance
2.3 Confidence Intervals for a Population Mean with Unknown Variance
2.4 Confidence Intervals for a Population Proportion
2.5 Confidence Intervals for a Population Variance
2.6 More Confidence Intervals in JMP
2.7 Determining the Sample Size
Notes
3 Hypothesis Tests
3.1 Key Concepts
3.2 Testing Hypotheses About a Population Mean
3.3 The Probability of a Type II Error and the Power
3.4 Determination of the Sample Size
3.5 JMP
3.6 Some Important Notes Concerning Hypothesis Testing
Notes
Part Two One Population
4 Hypothesis Tests for a Population Mean, Proportion, or Variance
4.1 Hypothesis Tests for One Population Mean
4.2 Hypothesis Tests for a Population Proportion
4.3 Hypothesis Tests for a Population Variance
4.4 The Probability of a Type II Error and the Power
Notes
5 Two Hypothesis Tests for the Median of a Population
5.1 The Sign Test
5.2 The Wilcoxon Signed-Rank Test
Notes
6 Hypothesis Tests for the Distribution of a Population
6.1 Testing Probability Distributions
6.2 Testing Probability Densities
6.3 Discussion
Notes
Part Three Two Populations
7 Independent Versus Paired Samples
8 Hypothesis Tests for the Means, Proportions, or Variances of Two
Independent Samples
8.1 Tests for Two Population Means for Independent Samples
8.2 A Hypothesis Test for Two Population Proportions
8.3 A Hypothesis Test for Two Population Variances
8.4 Hypothesis Tests for Two Independent Samples in JMP
Notes
9 A Nonparametric Hypothesis Test for the Medians of Two Independent
Samples
9.1 The Hypotheses Tested
9.2 Exact p-Values in the Absence of Ties
9.3 Exact p-Values in the Presence of Ties
9.4 Approximate p-Values
Notes
10 Hypothesis Tests for the Means of Two Paired Samples
10.1 The Hypotheses Tested
10.2 The Procedure
10.3 Examples
10.4 The Technical Background
10.5 Generalized Hypothesis Tests
10.6 A Confidence Interval for a Difference of Two Population Means
Notes
11 Two Nonparametric Hypothesis Tests for Paired Samples
11.1 The Sign Test
11.2 The Wilcoxon Signed-Rank Test
11.3 Contradictory Results
Notes
Part Four More Than Two Populations
12 Hypothesis Tests for More Than Two Population Means: One-Way
Analysis of Variance
12.1 One-Way Analysis of Variance
12.2 The Test
12.3 One-Way Analysis of Variance in JMP
12.4 Pairwise Comparisons
12.5 The Relation Between a One-Way Analysis of Variance and a t-Test
for Two Population Means
12.6 Power
12.7 Analysis of Variance for Nonnormal Distributions and Unequal
Variances
Notes
13 Nonparametric Alternatives to an Analysis of Variance
13.1 The Kruskal–Wallis Test
13.2 The van der Waerden Test
13.3 The Median Test
13.4 JMP
Notes
14 Hypothesis Tests for More Than Two Population Variances
14.1 Bartlett’s Test
14.2 Levene’s Test
14.3 The Brown–Forsythe Test
14.4 O’Brien’s Test
14.5 JMP
14.6 The Welch Test
Notes
Part Five Additional Useful Tests and Procedures
15 The Design of Experiments and Data Collection
15.1 Equal Costs for All Observations