| Description |
1 online resource (xvii, 231 pages) : illustrations (some color) |
| Contents |
Preface; Contents; Glossary; 1: What Is What; 1.1 Units and Their Safety Property; 1.2 Safety, Traits, and Populations; Notation to get used to:; 1.3 What Are Needed for; 1.4 How Are Used: Numerical Examples; 1.4.1 Data for Two Populations; 1.4.2 Estimating E{mu} and sigma{mu}; 1.4.3 How Many High-mu Units Are There?; 1.4.4 The Performance of a Screen; 1.4.5 Estimating the mu of a Unit; 1.4.6 Is the Gamma Assumption Sensible?; 1.5 The Chosen Perspective; 1.6 Summary; References; 2: A Safety Performance Function for Real Populations; 2.1 The Origin; 2.2 The Estimate of E{mu} |
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2.3 The Estimate of sigma{mu}2.4 The Two sigma℗þs; Homogeneity Versus Accuracy; 2.5 Summary; References; 3: Exploratory Data Analysis; 3.1 Introduction; 3.2 The Data; 3.3 The Pivot Table; 3.4 Pausing for Reflection; 3.5 Visualization; 3.6 Terrain; 3.7 Summary; References; 4: Curve-Fitting; 4.1 Why Do We Need to Curve-Fit?; 4.2 There is No Free Lunch; 4.3 Kernel Regression; 4.3.1 Bandwidth and Goodness of Fit; 4.3.2 Adding a Variable; 4.4 Summary; References; 5: Preparing for Parametric Curve-Fitting: The ̀̀Solver℗þ℗þ; 5.1 Optimization in Modeling; 5.2 Using the Solver to Find Minima and Maxima |
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5.3 Solver for Curve-Fitting: An Example5.4 Initial Guess and Parameter Scaling; 5.5 Summary; References; 6: A First Parametric SPF; 6.1 The Approach to Parametric SPF Modeling; The main difficulties:; 6.2 A Simple Parametric SPF; 6.3 Preparing and Using the First Curve-Fitting Spreadsheet; 6.4 Modifying the Objective Function; 6.5 Estimating sigma{mu}; 6.6 The Accuracy of Parameter Estimates; There are two sources of uncertainty surrounding parameter estimates:; 6.6.1 The Statistical Inaccuracy of beta1 ; 6.6.2 The Incompleteness of ̀̀Statistical Inaccuracy℗þ℗þ |
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6.7 Regression, Design Choices, Interventions, and Safety Effect6.7.1 A Road Design Example; 6.7.2 A Speed-and-Safety Example; 6.7.3 A Generalization; 6.7.4 The Debate; 6.8 Summary; References; 7: Which Fit Is Fitter; 7.1 Goodness of Fit; 7.2 The CURE Plot; 7.3 The Bias-in-Fit; 7.4 Leveling the Playing Field; 7.5 When Is a CURE Plot Good Enough?; 7.6 Comparing CURE Plots; 7.7 Summary; References; 8: What to Optimize?; 8.1 Introduction; 8.2 Likelihood; 8.2.1 The Parameter Behind Poisson Accident Counts; 8.2.2 The Parameters Behind the NB Distribution; 8.3 A Few Likelihood Functions |
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8.3.1 The Poisson Likelihood Function8.3.2 The Negative Binomial Likelihood Function; 8.3.3 The Negative Multinomial Likelihood Function; 8.4 Alternative Objective Functions; 8.5 Summary; References; 9: Adding Variables; 9.1 When to Add a Variable; 9.1.1 The Necessary Conditions; 9.1.2 The Sufficient Condition; 9.2 The Variable Introduction EDA: Is AADT Safety Related?; 9.3 How to Add a Variable to the C-F Spreadsheet; 9.4 The Omitted Variable Bias; 9.5 A Few CURE Plots; 9.6 Adding Variables: Terrain; 9.7 Panel Data and the NM Likelihood; 9.8 Panel Data and Alternative Objective Functions |
| Summary |
This unique book explains how to fashion useful regression models from commonly available data to erect models essential for evidence-based road safety management and research. Composed from techniques and best practices presented over many years of lectures and workshops, The Art of Regression Modeling in Road Safety illustrates that fruitful modeling cannot be done without substantive knowledge about the modeled phenomenon. Class-tested in courses and workshops across North America, the book is ideal for professionals, researchers, university professors, and graduate students with an intere |
| Analysis |
engineering |
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toegepaste wiskunde |
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applied mathematics |
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computational science |
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toegepaste statistiek |
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applied statistics |
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kwaliteitscontroles |
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quality controls |
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Engineering (General) |
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Techniek (algemeen) |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed December 24, 2014) |
| Subject |
Regression analysis.
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Traffic safety -- Statistical methods
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MATHEMATICS -- Applied.
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MATHEMATICS -- Probability & Statistics -- General.
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Regression analysis
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Traffic safety -- Statistical methods
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| Form |
Electronic book
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| ISBN |
9783319125299 |
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331912529X |
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3319125281 |
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9783319125282 |
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