Statistical Techniques for Transportation Engineering is written with a systematic approach in mind and covers a full range of data analysis topics, from the introductory level (basic probability, measures of dispersion, random variable, discrete and continuous distributions) through more generally used techniques (common statistical distributions, hypothesis testing), to advanced analysis and statistical modeling techniques (regression, AnoVa, and time series). The book also provides worked out examples and solved problems for a wide variety of transportation engineering challenges.
1. 2.1 Introduction - p. 25 2. 2.2 Basic Concepts - p. 28 3. 2.3 Tabulation of Data - p. 32 4. 2.4 Frequency Distribution - p. 34 5. 2.5 Cumulative Frequency Table - p. 37 6. 2.6 Measures of Central Tendency - p. 38 7. 2.7 Arithmetic Mean - p. 39 8. 2.8 Median - p. 51 9. 2.9 Mode - p. 55 10. 2.10 Geometric Mean - p. 62 11. 2.11 Harmonic Mean - p. 66 12. 2.12 Partition Values (Quartiles, Deciles, and Percentiles) - p. 71 13. 2.13 Measures of Dispersion - p. 74 14. 2.14 Range - p. 76 15. 2.15 Interquartile Range - p. 77 16. 2.16 Quartile Deviation - p. 78 17. 2.17 Mean Deviation - p. 81 18. 2.18 Standard Deviation - p. 85 19. Chapter 3. Probability - p. 93 20. Chapter 4. Random Variables - p. 113 21. Abstract - p. 113 22. 4.1 Introduction - p. 113 23. 4.2 Discrete Random Variable - p. 115 24. 4.3 Probability Distribution for a Discrete Random Variable - p. 115 25. 4.4 Mean and Variance of a Discrete Distribution - p. 119 26. 4.5 Continuous Random Variable - p. 125 27. 4.6 Probability Density Function - p. 126 28. 4.7 Cumulative Distribution Function - p. 126 29. 4.8 Mean and Variance of a Continuous Random Variable - p. 128 30. 4.9 Joint Distributions - p. 135 31. 4.10 Conditional Probability Distribution - p. 139 32. 4.11 Independent Random Variables - p. 139 33. 4.12 Joint Probability Function of Continuous Random Variables - p. 141 34. 4.13 Joint Probability Distribution Function of Continuous Random Variables - p. 142 35. 4.14 Marginal Distribution Function - p. 142 36. 4.15 Conditional Probability Density Functions - p. 144 37. 4.16 Mathematical Expectation and Moments - p. 149 38. 4.17 Moments - p. 172 39. 4.18 Moment Generating Function - p. 183 40. 4.19 Properties of Moment Generating Function - p. 183 41. 4.20 Discrete Probability Distributions - p. 188 42. 4.21 Poisson Distribution - p. 210 43. 4.22 Discrete Uniform Distribution - p. 235 44. 4.23 The Negative Binomial and Geometric Distribution - p. 235 45. 4.24 Geometric Distribution - p. 236 46. 4.25 Continuous Probability Distributions - p. 237 47. 4.26 Normal Distribution - p. 241 48. 4.27 Characteristic Function - p. 275 49. 4.28 Gamma Distribution - p. 275 50. 4.29 Beta Distribution of First Kind - p. 276 51. 4.30 Weibull Distribution - p. 277 52. Chapter 5. Curve Fitting - p. 281 53. Chapter 6. Correlation and Regression - p. 293 54. Abstract - p. 293 55. 6.1 Introduction - p. 293 56. 6.2 Correlation - p. 293 57. 6.3 Coefficient of Correlation - p. 294 58. 6.4 Methods of Finding Coefficient of Correlation - p. 295 59. 6.5 Scatter Diagram - p. 295 60. 6.6 Direct Method - p. 296 61. 6.7 Spearman’s Rank Correlation Coefficient - p. 301 62. 6.8 Calculation of r (Correlation Coefficient) (Karl Pearson’s Formula) - p. 305 63. 6.9 Regression - p. 305 64. 6.10 Regression Equation - p. 306 65. 6.11 Curve of Regression - p. 306 66. 6.12 Types of Regression - p. 306 67. 6.13 Regression Equations (Linear Fit) - p. 307 68. 6.14 Angle between Two Lines of Regression - p. 309 69. 6.15 Coefficient of Determination - p. 311 70. 6.16 Coefficient Nondetermination - p. 311 71. 6.17 Coefficient of Alienation - p. 312 72. 6.18 Multilinear Regression - p. 323 73. 6.19 Uses of Regression Analysis - p. 324 74. Chapter 7. Sampling - p. 331 75. Chapter 8. Hypothesis Testing - p. 339 76. Abstract - p. 339 77. 8.1 Introduction - p. 339 78. 8.2 Hypothesis - p. 339 79. 8.3 Hypothesis Testing - p. 339 80. 8.4 Types of Hypothesis - p. 340 81. 8.5 Computation of Test Statistic - p. 341 82. 8.6 Level of Significance - p. 341 83. 8.7 Critical Region - p. 341 84. 8.8 One-Tailed Test and Two-Tailed Test - p. 341 85. 8.9 Errors - p. 344 86. 8.10 Procedure for Hypothesis Testing - p. 345 87. 8.11 Important Tests of Hypothesis - p. 345 88. 8.12 Critical Values - p. 346 89. 8.13 Test of Significance—Large Samples - p. 347 90. 8.14 Test of Significance for Single Proportion - p. 367 91. 8.15 Testing of Significance for Difference of Proportions - p. 375 92. Chapter 9. Chi-Square Distribution - p. 383 93. Chapter 10. Test of Significance—Small Samples - p. 415 94. Chapter 11. ANOVA (Analysis of Variance) - p. 451 95. Chapter 12. Analysis of Time Series - p. 463 96. Chapter 13. Index Numbers - p. 491 97. Abstract - p. 491 98. 13.1 Introduction - p. 491 99. 13.2 Definitions and Characteristics - p. 491 100. 13.3 Types of Index Numbers - p. 493 101. 13.4 Problems in the Construction of Index Numbers - p. 494 102. 13.5 Method of Constructing Index Numbers - p. 495 103. 13.6 Tests for Consistency of Index Numbers - p. 516 104. 13.7 Quantity Index Numbers - p. 523 105. 13.8 Consumer Price Index Number - p. 524 106. 13.9 Chain Base Method - p. 528 107. 13.10 Base Conversion - p. 530 108. 13.11 Splicing - p. 532 109. 13.12 Deflation - p. 533 110. Index - p. 539
Statistical Techniques for Transportation Engineering is written with a systematic approach in mind and covers a full range of data analysis topics, from the introductory level (basic probability, measures of dispersion, random variable, discrete and continuous distributions) through more generally used techniques (common statistical distributions, hypothesis testing), to advanced analysis and statistical modeling techniques (regression, AnoVa, and time series). The book also provides worked out examples and solved problems for a wide variety of transportation engineering challenges.
1. 2.1 Introduction - p. 25 2. 2.2 Basic Concepts - p. 28 3. 2.3 Tabulation of Data - p. 32 4. 2.4 Frequency Distribution - p. 34 5. 2.5 Cumulative Frequency Table - p. 37 6. 2.6 Measures of Central Tendency - p. 38 7. 2.7 Arithmetic Mean - p. 39 8. 2.8 Median - p. 51 9. 2.9 Mode - p. 55 10. 2.10 Geometric Mean - p. 62 11. 2.11 Harmonic Mean - p. 66 12. 2.12 Partition Values (Quartiles, Deciles, and Percentiles) - p. 71 13. 2.13 Measures of Dispersion - p. 74 14. 2.14 Range - p. 76 15. 2.15 Interquartile Range - p. 77 16. 2.16 Quartile Deviation - p. 78 17. 2.17 Mean Deviation - p. 81 18. 2.18 Standard Deviation - p. 85 19. Chapter 3. Probability - p. 93 20. Chapter 4. Random Variables - p. 113 21. Abstract - p. 113 22. 4.1 Introduction - p. 113 23. 4.2 Discrete Random Variable - p. 115 24. 4.3 Probability Distribution for a Discrete Random Variable - p. 115 25. 4.4 Mean and Variance of a Discrete Distribution - p. 119 26. 4.5 Continuous Random Variable - p. 125 27. 4.6 Probability Density Function - p. 126 28. 4.7 Cumulative Distribution Function - p. 126 29. 4.8 Mean and Variance of a Continuous Random Variable - p. 128 30. 4.9 Joint Distributions - p. 135 31. 4.10 Conditional Probability Distribution - p. 139 32. 4.11 Independent Random Variables - p. 139 33. 4.12 Joint Probability Function of Continuous Random Variables - p. 141 34. 4.13 Joint Probability Distribution Function of Continuous Random Variables - p. 142 35. 4.14 Marginal Distribution Function - p. 142 36. 4.15 Conditional Probability Density Functions - p. 144 37. 4.16 Mathematical Expectation and Moments - p. 149 38. 4.17 Moments - p. 172 39. 4.18 Moment Generating Function - p. 183 40. 4.19 Properties of Moment Generating Function - p. 183 41. 4.20 Discrete Probability Distributions - p. 188 42. 4.21 Poisson Distribution - p. 210 43. 4.22 Discrete Uniform Distribution - p. 235 44. 4.23 The Negative Binomial and Geometric Distribution - p. 235 45. 4.24 Geometric Distribution - p. 236 46. 4.25 Continuous Probability Distributions - p. 237 47. 4.26 Normal Distribution - p. 241 48. 4.27 Characteristic Function - p. 275 49. 4.28 Gamma Distribution - p. 275 50. 4.29 Beta Distribution of First Kind - p. 276 51. 4.30 Weibull Distribution - p. 277 52. Chapter 5. Curve Fitting - p. 281 53. Chapter 6. Correlation and Regression - p. 293 54. Abstract - p. 293 55. 6.1 Introduction - p. 293 56. 6.2 Correlation - p. 293 57. 6.3 Coefficient of Correlation - p. 294 58. 6.4 Methods of Finding Coefficient of Correlation - p. 295 59. 6.5 Scatter Diagram - p. 295 60. 6.6 Direct Method - p. 296 61. 6.7 Spearman’s Rank Correlation Coefficient - p. 301 62. 6.8 Calculation of r (Correlation Coefficient) (Karl Pearson’s Formula) - p. 305 63. 6.9 Regression - p. 305 64. 6.10 Regression Equation - p. 306 65. 6.11 Curve of Regression - p. 306 66. 6.12 Types of Regression - p. 306 67. 6.13 Regression Equations (Linear Fit) - p. 307 68. 6.14 Angle between Two Lines of Regression - p. 309 69. 6.15 Coefficient of Determination - p. 311 70. 6.16 Coefficient Nondetermination - p. 311 71. 6.17 Coefficient of Alienation - p. 312 72. 6.18 Multilinear Regression - p. 323 73. 6.19 Uses of Regression Analysis - p. 324 74. Chapter 7. Sampling - p. 331 75. Chapter 8. Hypothesis Testing - p. 339 76. Abstract - p. 339 77. 8.1 Introduction - p. 339 78. 8.2 Hypothesis - p. 339 79. 8.3 Hypothesis Testing - p. 339 80. 8.4 Types of Hypothesis - p. 340 81. 8.5 Computation of Test Statistic - p. 341 82. 8.6 Level of Significance - p. 341 83. 8.7 Critical Region - p. 341 84. 8.8 One-Tailed Test and Two-Tailed Test - p. 341 85. 8.9 Errors - p. 344 86. 8.10 Procedure for Hypothesis Testing - p. 345 87. 8.11 Important Tests of Hypothesis - p. 345 88. 8.12 Critical Values - p. 346 89. 8.13 Test of Significance—Large Samples - p. 347 90. 8.14 Test of Significance for Single Proportion - p. 367 91. 8.15 Testing of Significance for Difference of Proportions - p. 375 92. Chapter 9. Chi-Square Distribution - p. 383 93. Chapter 10. Test of Significance—Small Samples - p. 415 94. Chapter 11. ANOVA (Analysis of Variance) - p. 451 95. Chapter 12. Analysis of Time Series - p. 463 96. Chapter 13. Index Numbers - p. 491 97. Abstract - p. 491 98. 13.1 Introduction - p. 491 99. 13.2 Definitions and Characteristics - p. 491 100. 13.3 Types of Index Numbers - p. 493 101. 13.4 Problems in the Construction of Index Numbers - p. 494 102. 13.5 Method of Constructing Index Numbers - p. 495 103. 13.6 Tests for Consistency of Index Numbers - p. 516 104. 13.7 Quantity Index Numbers - p. 523 105. 13.8 Consumer Price Index Number - p. 524 106. 13.9 Chain Base Method - p. 528 107. 13.10 Base Conversion - p. 530 108. 13.11 Splicing - p. 532 109. 13.12 Deflation - p. 533 110. Index - p. 539
