
Statistical Techniques for Transportation Engineering
Description
Key Features
- Demonstrates how to effectively interpret, summarize, and report transportation data using appropriate statistical descriptors
- Teaches how to identify and apply appropriate analysis methods for transportation data
- Explains how to evaluate transportation proposals and schemes with statistical rigor
Readership
Civil Engineers, Transportation Engineers
Table of Contents
Chapter 1. An Overview of Statistical Applications
- Abstract
- 1.1 Introduction
- 1.2 Probability Functions and Statistics
- 1.3 Applications of Normal Distribution
- 1.4 Confidence Bounds
- 1.5 Determination of Sample Size
- 1.6 Random Variables Summation
- 1.7 The Binomial Distributions
- 1.8 The Poisson Distribution
- 1.9 Testing of Hypothesis
- 1.10 Summary
Chapter 2. Preliminaries
- Abstract
- 2.1 Introduction
- 2.2 Basic Concepts
- 2.3 Tabulation of Data
- 2.4 Frequency Distribution
- 2.5 Cumulative Frequency Table
- 2.6 Measures of Central Tendency
- 2.7 Arithmetic Mean
- 2.8 Median
- 2.9 Mode
- 2.10 Geometric Mean
- 2.11 Harmonic Mean
- 2.12 Partition Values (Quartiles, Deciles, and Percentiles)
- 2.13 Measures of Dispersion
- 2.14 Range
- 2.15 Interquartile Range
- 2.16 Quartile Deviation
- 2.17 Mean Deviation
- 2.18 Standard Deviation
Chapter 3. Probability
- Abstract
- 3.1 Introduction
- 3.2 Classical Probability
- 3.3 Relative Frequency Approach of Probability
- 3.4 Symbolic Notation
- 3.5 Axiomatic Theory of Probability
- 3.6 Independent and Dependent Events
- 3.7 Conditional Probability
- 3.8 Multiplication Theorem on Probability
- 3.9 Baye’s Theorem
Chapter 4. Random Variables
- Abstract
- 4.1 Introduction
- 4.2 Discrete Random Variable
- 4.3 Probability Distribution for a Discrete Random Variable
- 4.4 Mean and Variance of a Discrete Distribution
- 4.5 Continuous Random Variable
- 4.6 Probability Density Function
- 4.7 Cumulative Distribution Function
- 4.8 Mean and Variance of a Continuous Random Variable
- 4.9 Joint Distributions
- 4.10 Conditional Probability Distribution
- 4.11 Independent Random Variables
- 4.12 Joint Probability Function of Continuous Random Variables
- 4.13 Joint Probability Distribution Function of Continuous Random Variables
- 4.14 Marginal Distribution Function
- 4.15 Conditional Probability Density Functions
- 4.16 Mathematical Expectation and Moments
- 4.17 Moments
- 4.18 Moment Generating Function
- 4.19 Properties of Moment Generating Function
- 4.20 Discrete Probability Distributions
- 4.21 Poisson Distribution
- 4.22 Discrete Uniform Distribution
- 4.23 The Negative Binomial and Geometric Distribution
- 4.24 Geometric Distribution
- 4.25 Continuous Probability Distributions
- 4.26 Normal Distribution
- 4.27 Characteristic Function
- 4.28 Gamma Distribution
- 4.29 Beta Distribution of First Kind
- 4.30 Weibull Distribution
Chapter 5. Curve Fitting
- Abstract
- 5.1 Introduction
- 5.2 The Method of Least Squares
- 5.3 The Least-Squares Line
- 5.4 Fitting a Parabola by the Method of Least Squares
- 5.5 Fitting the exponential curve of the form y=a ebx
Chapter 6. Correlation and Regression
- Abstract
- 6.1 Introduction
- 6.2 Correlation
- 6.3 Coefficient of Correlation
- 6.4 Methods of Finding Coefficient of Correlation
- 6.5 Scatter Diagram
- 6.6 Direct Method
- 6.7 Spearman’s Rank Correlation Coefficient
- 6.8 Calculation of r (Correlation Coefficient) (Karl Pearson’s Formula)
- 6.9 Regression
- 6.10 Regression Equation
- 6.11 Curve of Regression
- 6.12 Types of Regression
- 6.13 Regression Equations (Linear Fit)
- 6.14 Angle between Two Lines of Regression
- 6.15 Coefficient of Determination
- 6.16 Coefficient Nondetermination
- 6.17 Coefficient of Alienation
- 6.18 Multilinear Regression
- 6.19 Uses of Regression Analysis
Chapter 7. Sampling
- Abstract
- 7.1 Introduction
- 7.2 Population
- 7.3 Sample
- 7.4 Sampling
- 7.5 Random Sampling
- 7.6 Simple Random Sampling
- 7.7 Stratified Sampling
- 7.8 Systematic Sampling
- 7.9 Sample Size Determination
- 7.10 Sampling Distribution
Chapter 8. Hypothesis Testing
- Abstract
- 8.1 Introduction
- 8.2 Hypothesis
- 8.3 Hypothesis Testing
- 8.4 Types of Hypothesis
- 8.5 Computation of Test Statistic
- 8.6 Level of Significance
- 8.7 Critical Region
- 8.8 One-Tailed Test and Two-Tailed Test
- 8.9 Errors
- 8.10 Procedure for Hypothesis Testing
- 8.11 Important Tests of Hypothesis
- 8.12 Critical Values
- 8.13 Test of Significance—Large Samples
- 8.14 Test of Significance for Single Proportion
- 8.15 Testing of Significance for Difference of Proportions
Chapter 9. Chi-Square Distribution
- Abstract
- 9.1 Introduction
- 9.2 Contingency Table
- 9.3 Calculation of Expected Frequencies
- 9.4 Chi-Square Distribution
- 9.5 Mean and Variance of Chi-Square
- 9.6 Additive Property of Independent Chi-Square Variate
- 9.7 Degrees of Freedom
- 9.8 Conditions for Using Chi-Square Test
- 9.9 Uses of Chi-Square Test
Chapter 10. Test of Significance—Small Samples
- Abstract
- 10.1 Introduction
- 10.2 Moments About Mean
- 10.3 Properties of Probability Curve
- 10.4 Assumptions for t-Test
- 10.5 Uses of t-Distribution
- 10.6 Interval Estimate of Population Mean
- 10.7 Types of t-Test
- 10.8 Significant Values of t
- 10.9 Test of Significance of a Single Mean
- 10.10 Student’s t-Test for Difference of Means
- 10.11 Paired t-Test
- 10.12 F-Distribution
Chapter 11. ANOVA (Analysis of Variance)
- Abstract
- 11.1 Introduction
- 11.2 Assumptions
- 11.3 One-Way ANOVA
- 11.4 Working Rule
Chapter 12. Analysis of Time Series
- Abstract
- 12.1 Introduction
- 12.2 Purpose of Time Series Study
- 12.3 Editing of Data
- 12.4 Components of Time Series
- 12.5 Mathematical Model for a Time Series
- 12.6 Methods of Measuring Trend
Chapter 13. Index Numbers
- Abstract
- 13.1 Introduction
- 13.2 Definitions and Characteristics
- 13.3 Types of Index Numbers
- 13.4 Problems in the Construction of Index Numbers
- 13.5 Method of Constructing Index Numbers
- 13.6 Tests for Consistency of Index Numbers
- 13.7 Quantity Index Numbers
- 13.8 Consumer Price Index Number
- 13.9 Chain Base Method
- 13.10 Base Conversion
- 13.11 Splicing
- 13.12 Deflation
Product details
- No. of pages: 554
- Language: English
- Copyright: © Butterworth-Heinemann 2017
- Published: March 3, 2017
- Imprint: Butterworth-Heinemann
- eBook ISBN: 9780128116425
- Paperback ISBN: 9780128115558
About the Authors
Kumar Molugaram
Affiliations and Expertise
G Rao
Affiliations and Expertise
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