Title page
by Naresh Davergave, Anil Shah, G Rao, Kumar Molugaram
Statistical Techniques for Transportation Engineering
- Cover image
- Title page
- Table of Contents
- Copyright
- Preface
- Chapter 1. An Overview of Statistical Applications
- 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
- 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
- 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) (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
- 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
- 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)
- Chapter 12. Analysis of Time Series
- 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
- Index
Statistical Techniques for Transportation Engineering
Kumar Molugaram
Professor, Department of Civil Engineering, University College of Engineering, Osmania University, Hyderabad, Telangana, India
G. Shanker Rao
Formerly Head of the Department, Department of Mathematics, Govt. Girraj P.G College, and Asst. Professor(c), University College of Engineering(A), Osmania University, Hyderabad
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