Understanding robust and exploratory data analysis / edited by David C. Hoaglin, Frederick Mosteller, John W. Tukey.

Format:

Book

Contributor:

Hoaglin, David C. (David Caster), 1944-

Mosteller, Frederick, 1916-2006

Tukey, John W. (John Wilder), 1915-2000

Elizabeth Bowers Peck, 1929 Endowment Book Fund.

Series:

Wiley classics library

Language:

English

Subjects (All):

Mathematical statistics.

Statistics as Topic.

Medical Subjects:

Statistics as Topic.

Physical Description:

xx, 447 pages : illustrations ; 23 cm.

Edition:

Wiley Classics Library edition.

Place of Publication:

New York : John Wiley, 2000.

Contents:

1. Stem-and-Leaf Displays / John D. Emerson, David C. Hoaglin 7

1A. The Basic Display 8

1B. Some Variations 12

1D. Sorting 19

1E. Background on Number of Lines 22

2. Letter Values: A Set of Selected Order Statistics / David C. Hoaglin 33

2A. Sorting and Ranking 34

2B. Letter Values 36

2C. Spreads 38

2D. Letter-Value Displays 41

2E. Ideal Letter Values 42

2F. When the Letter Values Are Equally Spaced 49

2G. Letter Values as Selected Order Statistics 51

3. Boxplots and Batch Comparison / John D. Emerson, Judith Strenio 58

3A. The Boxplot for a Single Batch 59

3B. Comparing Batches Using Boxplots 65

3C. The Spread-versus-Level Plot 77

3D. Background for Spread-versus-Level Plots 87

4. Transforming Data / John D. Emerson, Michael A. Stoto 97

4A. Power Transformations 98

4B. Reasons for Transforming 104

4C. Transforming for Symmetry 105

4D. Transforming for Other Data Structures 111

4E. Matched Transformations 112

4F. Serendipitous Effects of Transformation 121

4G. When Is Transformation Worthwile? 124

5. Resistant Lines for y Versus x / John D. Emerson, David C. Hoaglin 129

5A. A Resistant Line from Three Groups 130

5B. Improving the Iterative Adjustments 139

5C. Background: Groups and Summaries 147

5D. Influence and Leverage 154

5E. Other Alternative Methods 158

6. Analysis of Two-Way Tables by Medians / John D. Emerson, David C. Hoaglin 166

6A. Two-Way Tables 167

6B. Median Polish 169

6C. Medians versus Means 176

6D. Least-Absolute-Residuals Fitting 182

6E. Other Methods of Polishing 190

6F. Breakdown Bounds for Median Polish 192

6G. Treatment of Holes 198

6H. Nonadditivity and the Diagnostic Plot 200

7. Examining Residuals / Colin Goodall 211

7A. Residuals and the Fit 212

7B. Residuals as Batches 215

7C. Residuals and Regression 228

7D. More Sophisticated Plots 240

8. Mathematical Aspects of Transformation / John D Emerson 247

8A. Summary of Four Transformation Plots 248

8B. The Power Transformations as a Family 250

8C. A Transformation Plot for Symmetry 257

8D. Transformation Plot for Equal Spread: The Spread-versus-Level Plot 260

8E. A Transformation Plot for Straightness 264

8F. Transformation Plot for the Two-Way Table: The Diagnostic Plot 267

9. Introduction to More Refined Estimators / David C. Hoaglin, Frederick Mosteller, John W. Tukey 283

9A. Various Approaches to Estimation 285

9B. Why the Symmetric Case? 287

9C. The Dominant Role of Sample Size 290

9D. Introduction to w- and M-Estimators 291

9E. Technical Approaches 294

10. Comparing Location Estimators: Trimmed Means, Medians, and Trimean / James L. Rosenberger, Miriam Gasko 297

10A. Main Concepts 298

10B. Simple L-Estimators 306

10C. Distributions 316

10D. Choosing the Robust Estimator 324

11. M-Estimators of Location: an Outline of the Theory / Colin Goodall 339

11A. M-Estimators 341

11C. Resistance and Robustness of Efficiency 349

11D. The Influence Curve 350

11E. The Shape of [psi] 358

11F. Summary of Criteria 365

11G. Auxiliary Scale Estimates 365

11H. Examples of Location Estimators 368

11I. The Change-of-Value Curve 378

11J. W-Estimation 381

11K. Computation and One-Step Estimators 385

11L. Finite-Sample Variances and Efficiencies 387

11M. Comparisons of M-Estimators of Location 395

12. Robust Scale Estimators and Confidence Intervals for Location / Boris Iglewicz 404

12A. Desirable Properties 405

12B. Several Simple Scale Estimators 407

12C. Efficiency of the Simple Scale Estimators 411

12D. Scale Estimators Based on M-Estimators of Location 414

12E. Pseudovariances 418

12F. Robust Confidence Intervals 420

12G. A Test for Departures from Gaussian Shape 425.

Notes:

Originally published: New York : Wiley, 1983.

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Elizabeth Bowers Peck, 1929 Endowment Book Fund.

ISBN:

0471384917

OCLC:

43662061