Produktbild: Statistics for Censored Environmental Data Using Minitab and R

Statistics for Censored Environmental Data Using Minitab and R

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

01.02.2012

Verlag

John Wiley & Sons

Seitenzahl

344

Maße (L/B/H)

24/16.1/2.3 cm

Gewicht

686 g

Auflage

2nd edition

Sprache

Englisch

ISBN

978-0-470-47988-9

Beschreibung

Rezension

"Helsel's book is an excellent resource forscientists and statisticians, as well as an effective textbook foradvanced undergraduate and graduate school students." ( Integrated Environmental Assessment and Management , 1 May2014)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

01.02.2012

Verlag

John Wiley & Sons

Seitenzahl

344

Maße (L/B/H)

24/16.1/2.3 cm

Gewicht

686 g

Auflage

2nd edition

Sprache

Englisch

ISBN

978-0-470-47988-9

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: GPSR Kontakt

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  • Produktbild: Statistics for Censored Environmental Data Using Minitab and R
  • Preface ix

    Acknowledgments xi

    Introduction to the First Edition: An Accident Waiting to Happen xiii

    Introduction to the Second Edition: Invasive Data xvii

    1 Things People Do with Censored Data that Are Just Wrong 1

    Why Not Substitute-Missing the Signals that Are Present in the Data 3

    Why Not Substitute?-Finding Signals that Are Not There 8

    So Why Not Substitute? 10

    Other Common Misuses of Censored Data 10

    2 Three Approaches for Censored Data 12

    Approach 1: Nonparametric Methods after Censoring at

    the Highest Reporting Limit 13

    Approach 2: Maximum Likelihood Estimation 14

    Approach 3: Nonparametric Survival Analysis Methods 17

    Application of Survival Analysis Methods to Environmental Data 17

    Parallels to Uncensored Methods 21

    3 Reporting Limits 22

    Limits When the Standard Deviation is Considered Constant 23

    Insider Censoring-Biasing Interpretations 29

    Reporting the Machine Readings of all Measurements 33

    Limits When the Standard Deviation Changes with Concentration 34

    For Further Study 36

    4 Reporting, Storing, and Using Censored Data 37

    Reporting and Storing Censored Data 37

    Using Interval-Censored Data 41

    Exercises 42

    5 Plotting Censored Data 44

    Boxplots 44

    Histograms 46

    Empirical Distribution Function 47

    Survival Function Plots 49

    Probability Plot 52

    X-Y Scatterplots 59

    Exercises 61

    6 Computing Summary Statistics and Totals 62

    Nonparametric Methods after Censoring at the Highest Reporting Limit 62

    Maximum Likelihood Estimation 64

    The Nonparametric Kaplan-Meier and Turnbull Methods 70

    ROS: A "Robust" Imputation Method 79

    Methods in Excel 86

    Handling Data with High Reporting Limits 86

    A Review of Comparison Studies 87

    Summing Data with Censored Observations 94

    Exercises 98

    7 Computing Interval Estimates 99

    Parametric Intervals 100

    Nonparametric Intervals 103

    Intervals for Censored Data by Substitution 103

    Intervals for Censored Data by Maximum Likelihood 104

    Intervals for the Lognormal Distribution 112

    Intervals Using "Robust" Parametric Methods 125

    Nonparametric Intervals for Censored Data 126

    Bootstrapped Intervals 136

    For Further Study 140

    Exercises 141

    8 What Can be Done When All Data Are Below the Reporting Limit? 142

    Point Estimates 143

    Probability of Exceeding the Reporting Limit 144

    Exceedance Probability for a Standard Higher than the Reporting Limit 148

    Hypothesis Tests Between Groups 151

    Summary 152

    Exercises 152

    9 Comparing Two Groups 153

    Why Not Use Substitution? 154

    Simple Nonparametric Methods After Censoring at the Highest Reporting Limit 156

    Maximum Likelihood Estimation 161

    Nonparametric Methods 167

    Value of the Information in Censored Observations 178

    Interval-Censored Score Tests: Testing Data that Include (DL to RL) Values 180

    Paired Observations 183

    Summary of Two-Sample Tests for Censored Data 192

    Exercises 192

    10 Comparing Three or More Groups 194

    Substitution Does Not Work-Invasive Data 195

    Nonparametric Methods after Censoring at the Highest Reporting Limit 196

    Maximum Likelihood Estimation 199

    Nonparametric Method-The Generalized Wilcoxon Test 209

    Summary 215

    Exercises 216

    11 Correlation 218

    Types of Correlation Coefficients 218

    Nonparametric Methods after Censoring at the Highest Reporting Limit 219

    Maximum Likelihood Correlation Coefficient 224

    Nonparametric Correlation Coefficient-Kendall's Tau 227

    Interval-Censored Score Tests: Testing Correlation with (DL to RL) Values 230

    Summary: A Comparison Among Methods 232

    For Further Study 234

    Exercises 235

    12 Regression and Trends 236

    Why Not Substitute? 237

    Nonparametric Methods After Censoring at the Highest Reporting Limit 239

    Maximum Likelihood Estimation 249

    Akritas-Theil-Sen Nonparametric Regression 258

    Additional Methods for Censored Regression 264

    Exercises 266

    13 Multivariate Methods for Censored Data 268

    A Brief Overview of Multivariate Procedures 269

    Nonparametric Methods After Censoring at the Highest Reporting Limit 273

    Multivariate Methods for Data with Multiple Reporting Limits 288

    Summary of Multivariate Methods for Censored Data 296

    14 The NADA for R Software 297

    A Brief Overview of R and the NADA Software 297

    Summary of the Commands Available in NADA 300

    Appendix: Datasets 303

    References 309

    Index 321