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xiii | |
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1 Statistical Signs and Symbols |
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1 | (2) |
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3 | (74) |
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2.1 Empirical Distributions |
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3 | (3) |
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3 | (1) |
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2.1.2 Cumulative Frequencies |
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4 | (2) |
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2.2 Mean Values and Measures of Dispersion |
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6 | (16) |
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6 | (6) |
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2.2.2 Measures of Dispersion |
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12 | (10) |
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2.3 Ratios and Index Figures |
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22 | (28) |
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22 | (3) |
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25 | (13) |
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2.3.3 Peren-Clement Index (PCI) |
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38 | (12) |
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50 | (1) |
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51 | (26) |
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2.5.1 Simple Linear Regression |
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51 | (4) |
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2.5.1.1 Confidence Intervals for the Regression Coefficients of a Simple Linear Regression Function |
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55 | (2) |
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2.5.1.2 Student's t-Tests for the Regression Coefficients of a Simple Linear Regression Function |
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57 | (5) |
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2.5.2 Multiple Linear Regression |
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62 | (2) |
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2.5.2.1 Confidence Intervals for the Regression Coefficients of a Multiple Linear Regression Function |
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64 | (2) |
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2.5.2.2 Student's t-Tests for the Regression Coefficients of a Multiple Linear Regression Function |
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66 | (1) |
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2.5.3 Double Linear Regression |
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66 | (3) |
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2.5.3.1 Confidence Intervals for the Regression Coefficients of a Double Linear Regression Function |
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69 | (2) |
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2.5.3.2 Student's t-Tests for the Regression Coefficients of a Simple Linear Regression Function |
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71 | (6) |
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77 | (34) |
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3.1 Probability Calculation |
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77 | (11) |
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3.1.1 Fundamental Terms/Definitions |
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77 | (5) |
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3.1.2 Theorems of Probability Theory |
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82 | (6) |
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3.2 Probability Distributions |
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88 | (4) |
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3.2.1 Concept of Random Variables |
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88 | (1) |
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3.2.2 Probability, Distribution and Density Function |
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89 | (1) |
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3.2.2.1 Discrete Random Variables |
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89 | (1) |
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3.2.2.2 Continuous Random Variables |
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90 | (1) |
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3.2.3 Parameters for Probability Distributions |
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91 | (1) |
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3.3 Theoretical Distributions |
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92 | (7) |
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3.3.1 Discrete Distributions |
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92 | (3) |
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3.3.2 Continuous Distributions |
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95 | (4) |
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3.4 Statistical Estimation Methods (Confidence Intervals) |
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99 | (3) |
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3.5 Determination of the Required Sample Size |
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102 | (1) |
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3.6 Statistical Testing Methods |
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102 | (9) |
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103 | (3) |
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3.6.2 Distribution Tests (Chi-Square Tests) |
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106 | (5) |
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4 Probability Calculation |
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111 | (24) |
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4.1 Terms and Definitions |
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111 | (1) |
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4.2 Definitions of Probability |
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112 | (3) |
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4.2.1 The Classical Definition of Probabilty |
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112 | (1) |
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4.2.2 The Statistical Definition of Probability |
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113 | (1) |
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4.2.3 The Subjective Definition of Probability |
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113 | (1) |
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4.2.4 Axioms of Probability Calculation |
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114 | (1) |
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4.3 Theorems of Probability Calculation |
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115 | (9) |
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4.3.1 Theorem of Complementary Events |
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115 | (1) |
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4.3.2 The Multiplication Theorem with Independence of Events |
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116 | (1) |
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4.3.3 The Addition Theorem |
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116 | (2) |
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4.3.4 Conditional Probability |
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118 | (1) |
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4.3.5 Stochastic Independence |
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118 | (1) |
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4.3.6 The Multiplication Theorem in General Form |
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119 | (1) |
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4.3.7 The Theorem of Total Probability |
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119 | (1) |
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4.3.8 Bayes' Theorem (Bayes' Rule) |
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120 | (3) |
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4.3.9 Overview of the Probability Calculation of Mutually Exclusive and Non-Exclusive Events |
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123 | (1) |
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124 | (11) |
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4.4.1 The Concept of Random Variables |
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124 | (1) |
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4.4.2 The Probability Function of Discrete Random Variables |
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124 | (1) |
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4.4.3 The Distribution Function of Discrete Random Variables |
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125 | (1) |
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4.4.4 Probability Density and Distribution Function of Continuous Random Variables |
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125 | (5) |
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4.4.5 Expected Value and Variance of Random Variables |
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130 | (5) |
A Statistical Tables |
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135 | (76) |
B Bibliography |
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211 | (8) |
Index |
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219 | |