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

Contributor(s): Material type: TextTextSeries: Wiley series in probability and mathematical statistics. Applied probability and statistics.Publisher: New York : Wiley, [1983]Copyright date: ©1983Description: xvi, 447 pages : illustrations ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 0471097772
  • 9780471097778
Subject(s): DDC classification:
  • 519.5 19
LOC classification:
  • QA276 .U5 1983
Contents:
Introduction -- 1.. Stem-and-Leaf Displays -- 1A.. The Basic Display -- 1B.. Some Variations -- 1C.. An Historical Note -- 1D.. Sorting -- 1E.. Background on Number of Lines -- 1F.. Summary -- Exercises -- 2.. Letter Values: A Set of Selected Order Statistics -- 2A.. Sorting and Ranking -- 2B.. Letter Values -- 2C.. Spreads -- 2D.. Letter-Value Displays -- 2E.. Ideal Letter Values -- 2F.. When the Letter Values Are Equally Spaced -- 2G.. Letter Values as Selected Order Statistics -- 2H.. Summary -- Exercises -- 3.. Boxplots and Batch Comparison -- 3A.. The Boxplot for a Single Batch -- 3B.. Comparing Batches Using Boxplots -- 3C.. The Spread-versus-Level Plot -- 3D.. Background for Spread-versus-Level Plots -- 3E.. Summary -- Exercises -- 4.. Transforming Data -- 4A.. Power Transformations -- 4B.. Reasons for Transforming -- 4C.. Transforming for Symmetry -- 4D.. Transforming for Other Data Structures -- 4E.. Matched Transformations -- 4F.. Serendipitous Effects of Transformation -- 4G.. When Is Transformation Worthwile? -- 4H.. Summary -- Exercises -- 5.. Resistant Lines for y Versus x -- 5A.. A Resistant Line from Three Groups -- 5B.. Improving the Iterative Adjustments -- 5C.. Background: Groups and Summaries -- 5D.. Influence and Leverage -- 5E.. Other Alternative Methods -- Exercises -- 6.. Analysis of Two-Way Tables by Medians -- 6A.. Two-Way Tables -- 6B.. Median Polish -- 6C.. Medians versus Means -- 6D.. Least-Absolute-Residuals Fitting -- 6E.. Other Methods of Polishing -- 6F.. Breakdown Bounds for Median Polish -- 6G.. Treatment of Holes -- 6H.. Nonadditivity and the Diagnostic Plot -- 6I.. Summary -- Exercises -- 7.. Examining Residuals -- 7A.. Residuals and the Fit -- 7B.. Residuals as Batches -- 7C.. Residuals and Regression -- 7D.. More Sophisticated Plots -- 7E.. Summary -- Exercises -- 8.. Mathematical Aspects of Transformation -- 8A.. Summary of Four Transformation Plots -- 8B.. The Power Transformations as a Family -- 8C.. A Transformation Plot for Symmetry -- 8D.. Transformation Plot for Equal Spread: The Spread-versus-Level Plot -- 8E.. A Transformation Plot for Straightness -- 8F.. Transformation Plot for the Two-Way Table: The Diagnostic Plot -- 8G.. Historical Notes and References -- Exercises -- 9.. Introduction to More Refined Estimators -- 9A.. Various Approaches to Estimation -- 9B.. Why the Symmetric Case? -- 9C.. The Dominant Role of Sample Size -- 9D.. Introduction to w- and M-Estimators -- 9E.. Technical Approaches -- 10.. Comparing Location Estimators: Trimmed Means, Medians, and Trimean -- 10A.. Main Concepts -- 10B.. Simple L-Estimators -- 10C.. Distributions -- 10D.. Choosing the Robust Estimator -- 10E.. Summary -- Exercises -- 11.. M-Estimators of Location: an Outline of the Theory -- 11A.. M-Estimators -- 11B.. Examples -- 11C.. Resistance and Robustness of Efficiency -- 11D.. The Influence Curve -- 11E.. The Shape of [psi] -- 11F.. Summary of Criteria -- 11G.. Auxiliary Scale Estimates -- 11H.. Examples of Location Estimators -- 11I.. The Change-of-Value Curve -- 11J.. W-Estimation -- 11K.. Computation and One-Step Estimators -- 11L.. Finite-Sample Variances and Efficiencies -- 11M.. Comparisons of M-Estimators of Location -- Exercises -- 12.. Robust Scale Estimators and Confidence Intervals for Location -- 12A.. Desirable Properties -- 12B.. Several Simple Scale Estimators -- 12C.. Efficiency of the Simple Scale Estimators -- 12D.. Scale Estimators Based on M-Estimators of Location -- 12E.. Pseudovariances -- 12F.. Robust Confidence Intervals -- 12G.. A Test for Departures from Gaussian Shape -- 12H.. Summary -- Exercises -- Index.
Summary: "Originally published in hardcover in 1982, this book is now offered in a Wiley Classics Library edition. A contributed volume, edited by some of the preeminent statisticians of the 20th century, Understanding of Robust and Exploratory Data Analysis explains why and how to use exploratory data analysis and robust and resistant methods in statistical practice."--Publisher description.
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Holdings
Item type Current library Call number Copy number Status Date due Barcode
Book City Campus City Campus Main Collection 519.5 UND (Browse shelf(Opens below)) 1 Available A017792B
Book South Campus South Campus Main Collection 519.5 UND (Browse shelf(Opens below)) 1 Available A017791B

Includes bibliographical references (pages 427-429) and index.

Introduction -- 1.. Stem-and-Leaf Displays -- 1A.. The Basic Display -- 1B.. Some Variations -- 1C.. An Historical Note -- 1D.. Sorting -- 1E.. Background on Number of Lines -- 1F.. Summary -- Exercises -- 2.. Letter Values: A Set of Selected Order Statistics -- 2A.. Sorting and Ranking -- 2B.. Letter Values -- 2C.. Spreads -- 2D.. Letter-Value Displays -- 2E.. Ideal Letter Values -- 2F.. When the Letter Values Are Equally Spaced -- 2G.. Letter Values as Selected Order Statistics -- 2H.. Summary -- Exercises -- 3.. Boxplots and Batch Comparison -- 3A.. The Boxplot for a Single Batch -- 3B.. Comparing Batches Using Boxplots -- 3C.. The Spread-versus-Level Plot -- 3D.. Background for Spread-versus-Level Plots -- 3E.. Summary -- Exercises -- 4.. Transforming Data -- 4A.. Power Transformations -- 4B.. Reasons for Transforming -- 4C.. Transforming for Symmetry -- 4D.. Transforming for Other Data Structures -- 4E.. Matched Transformations -- 4F.. Serendipitous Effects of Transformation -- 4G.. When Is Transformation Worthwile? -- 4H.. Summary -- Exercises -- 5.. Resistant Lines for y Versus x -- 5A.. A Resistant Line from Three Groups -- 5B.. Improving the Iterative Adjustments -- 5C.. Background: Groups and Summaries -- 5D.. Influence and Leverage -- 5E.. Other Alternative Methods -- Exercises -- 6.. Analysis of Two-Way Tables by Medians -- 6A.. Two-Way Tables -- 6B.. Median Polish -- 6C.. Medians versus Means -- 6D.. Least-Absolute-Residuals Fitting -- 6E.. Other Methods of Polishing -- 6F.. Breakdown Bounds for Median Polish -- 6G.. Treatment of Holes -- 6H.. Nonadditivity and the Diagnostic Plot -- 6I.. Summary -- Exercises -- 7.. Examining Residuals -- 7A.. Residuals and the Fit -- 7B.. Residuals as Batches -- 7C.. Residuals and Regression -- 7D.. More Sophisticated Plots -- 7E.. Summary -- Exercises -- 8.. Mathematical Aspects of Transformation -- 8A.. Summary of Four Transformation Plots -- 8B.. The Power Transformations as a Family -- 8C.. A Transformation Plot for Symmetry -- 8D.. Transformation Plot for Equal Spread: The Spread-versus-Level Plot -- 8E.. A Transformation Plot for Straightness -- 8F.. Transformation Plot for the Two-Way Table: The Diagnostic Plot -- 8G.. Historical Notes and References -- Exercises -- 9.. Introduction to More Refined Estimators -- 9A.. Various Approaches to Estimation -- 9B.. Why the Symmetric Case? -- 9C.. The Dominant Role of Sample Size -- 9D.. Introduction to w- and M-Estimators -- 9E.. Technical Approaches -- 10.. Comparing Location Estimators: Trimmed Means, Medians, and Trimean -- 10A.. Main Concepts -- 10B.. Simple L-Estimators -- 10C.. Distributions -- 10D.. Choosing the Robust Estimator -- 10E.. Summary -- Exercises -- 11.. M-Estimators of Location: an Outline of the Theory -- 11A.. M-Estimators -- 11B.. Examples -- 11C.. Resistance and Robustness of Efficiency -- 11D.. The Influence Curve -- 11E.. The Shape of [psi] -- 11F.. Summary of Criteria -- 11G.. Auxiliary Scale Estimates -- 11H.. Examples of Location Estimators -- 11I.. The Change-of-Value Curve -- 11J.. W-Estimation -- 11K.. Computation and One-Step Estimators -- 11L.. Finite-Sample Variances and Efficiencies -- 11M.. Comparisons of M-Estimators of Location -- Exercises -- 12.. Robust Scale Estimators and Confidence Intervals for Location -- 12A.. Desirable Properties -- 12B.. Several Simple Scale Estimators -- 12C.. Efficiency of the Simple Scale Estimators -- 12D.. Scale Estimators Based on M-Estimators of Location -- 12E.. Pseudovariances -- 12F.. Robust Confidence Intervals -- 12G.. A Test for Departures from Gaussian Shape -- 12H.. Summary -- Exercises -- Index.

"Originally published in hardcover in 1982, this book is now offered in a Wiley Classics Library edition. A contributed volume, edited by some of the preeminent statisticians of the 20th century, Understanding of Robust and Exploratory Data Analysis explains why and how to use exploratory data analysis and robust and resistant methods in statistical practice."--Publisher description.

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