The art of regression modeling in road safety. (2015)

• Record Type: Book
• Further Information: Note: Ezra Hauer.
• Authors: Hauer, E (Ezra)
• 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} 2.3 The Estimate of sigma{mu}2.4 The Two sigma´s; 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´´; 5.1 Optimization in Modeling; 5.2 Using the Solver to Find Minima and Maxima. 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´´ 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. 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2015
• Copyright Date: 2015
• Extent: 1 online resource (241 pages)
• Subjects: 519 519.5 620 658.56; Engineering; Engineering & Applied Sciences; Civil & Environmental Engineering; Applied Mathematics; Civil Engineering; Regression analysis; Traffic safety -- Statistical methods; Statistics; Quality control; Reliability; Industrial safety; Transportation engineering; Traffic engineering; Engineering; Transportation Technology and Traffic Engineering; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences; Quality Control, Reliability, Safety and Risk; Engineering; Industrial safety; Quality control; Regression analysis; Reliability; Statistics; Traffic engineering; Traffic safety -- Statistical methods; Transportation engineering; Mathematics -- Probability & Statistics -- General; Technology & Engineering -- Quality Control; Probability & statistics; Reliability engineering; System safety; Technology & Engineering -- Civil -- General; Highway & traffic engineering; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783319125299
• Related ISBNs: 331912529X; 3319125281; 9783319125282
• Notes: Note: Includes bibliographical references at the end of each chapters and index.; Note: Description based on print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.