| Contents | 7 |
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| Preface | 12 |
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| 1. Introduction | 13 |
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| 1.1 Overview | 13 |
| 1.2 Objectives | 14 |
| 1.2.1 Develop the Student’s Knowledge of the Technical Details of Various Techniques for Analyzing Data | 14 |
| 1.2.2 Expose the Students to Applications and “Hand-on” Use of Various Computer Programs for Carrying Out Statistical Analyses of Data | 14 |
| 1.3 Types of Scales | 15 |
| 1.3.1 Definition of Different Types of Scales | 16 |
| 1.3.2 The Impact of the Type of Scale on Statistical Analysis | 16 |
| 1.4 Topics Covered | 17 |
| 1.5 Pedagogy | 18 |
| References | 20 |
| 2. Multivariate Normal Distribution | 21 |
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| 2.1 Univariate Normal Distribution | 21 |
| 2.2 Bivariate Normal Distribution | 21 |
| 2.3 Generalization to Multivariate Case | 23 |
| 2.4 Tests About Means | 24 |
| 2.4.1 Sampling Distribution of Sample Centroids | 24 |
| 2.4.2 Significance Test: One-sample Problem | 25 |
| 2.4.3 Significance Test: Two-sample Problem | 27 |
| 2.4.4 Significance Test: K-sample Problem | 29 |
| 2.5 Examples | 31 |
| 2.5.1 Test of the Difference Between Two Mean Vectors – One- Sample Problem | 31 |
| 2.5.2 Test of the Difference Between Several Mean Vectors – K-sample Problem | 33 |
| 2.6 Assignment | 37 |
| References | 39 |
| Basic Technical Readings | 39 |
| Application Readings | 39 |
| 3. Measurement Theory: Reliability and Factor Analysis | 41 |
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| 3.1 Notions of Measurement Theory | 41 |
| 3.1.1 Definition of a Measure | 41 |
| 3.1.2 Parallel Measurements | 41 |
| 3.1.3 Reliability | 41 |
| 3.1.4 Composite Scales | 42 |
| 3.2 Factor Analysis | 45 |
| 3.2.1 Axis Rotation | 45 |
| 3.2.2 Variance Maximizing Rotations (Eigenvalues/vectors) | 46 |
| 3.2.3 Principal Component Analysis | 49 |
| 3.2.4 Factor Analysis | 50 |
| 3.3 Conclusion - Procedure for Scale Construction | 55 |
| 3.3.1 Exploratory Factor Analysis | 55 |
| 3.3.2 Confirmatory Factor Analysis | 56 |
| 3.3.3 Reliability-Coefficient | 56 |
| 3.4 Application Examples | 56 |
| 3.5 Assignment | 65 |
| References | 66 |
| Basic Technical Readings | 66 |
| Application Readings | 66 |
| 4. Multiple Regression with a Single Dependent Variable | 67 |
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| 4.1 Statistical Inference: Least Squares and Maximum Likelihood | 67 |
| 4.1.1 The Linear Statistical Model | 67 |
| 4.1.2 Point Estimation | 69 |
| 4.1.3 Maximum Likelihood Estimation | 71 |
| 4.1.4 Properties of Estimator | 73 |
| 4.2 Pooling Issues | 77 |
| 4.2.1 Linear Restrictions | 77 |
| 4.2.2 Pooling Tests and Dummy Variable Models | 79 |
| 4.2.3 Strategy for Pooling Tests | 81 |
| 4.3 Examples of Linear Model Estimation with SAS | 83 |
| 4.4 Assignment | 87 |
| References | 88 |
| Basic Technical Readings | 88 |
| Application Readings | 89 |
| 5. System of Equations | 91 |
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| 5.1 Seemingly Unrelated Regression (SUR) | 91 |
| 5.1.1 Set of Equations with Contemporaneously Correlated Disturbances | 91 |
| 5.1.2 Estimation | 93 |
| 5.1.3 Special Cases | 94 |
| 5.2 A System of Simultaneous Equations | 95 |
| 5.2.1 The Problem | 95 |
| 5.2.2 Two Stage Least Squares: 2SLS | 99 |
| 5.2.3 Three Stage Least Squares: 3SLS | 99 |
| 5.3 Simultaneity and Identification | 100 |
| 5.3.1 The Problem | 100 |
| 5.3.2 Order and Rank Conditions | 101 |
| 5.4 Summary | 103 |
| 5.4.1 Structure of Matrix | 103 |
| 5.4.2 Structure of Matrix | 104 |
| 5.4.3 Test of Covariance Matrix | 104 |
| 5.4.4 3SLS versus 2SLS | 105 |
| 5.5 Examples Using SAS | 105 |
| 5.5.1 Seemingly Unrelated Regression Example | 105 |
| 5.5.2 Two Stage Least Squares Example | 111 |
| 5.5.3 Three Stage Least Squares Example | 113 |
| 5.6 Assignment | 115 |
| References | 116 |
| Basic Technical Readings | 116 |
| Application Readings | 116 |
| 6. Categorical Dependent Variables | 117 |
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| 6.1 Discriminant Analysis | 117 |
| 6.1.1 The Discriminant Criterion | 117 |
| 6.1.2 Discriminant Function | 120 |
| 6.1.3 Classification and Fit | 121 |
| 6.2 Quantal Choice Models | 124 |
| 6.2.1 The Difficulties of the Standard Regression Model with Categorical Dependent Variables | 124 |
| 6.2.2 Transformational Logit | 125 |
| 6.2.3 Conditional Logit Model | 129 |
| 6.2.4 Fit Measures | 132 |
| 6.3 Examples | 133 |
| 6.3.1 Example of Discriminant Analysis Using SAS | 133 |
| 6.3.2 Example of Multinomial Logit – Case 1 Analysis Using LIMDEP | 140 |
| 6.3.3 Example of Multinomial Logit – Case 2 Analysis Using LOGIT. EXE | 142 |
| 6.3.4 Example of Multinomial Logit – Case 2 Analysis Using LIMDEP | 145 |
| 6.4 Assignment | 147 |
| References | 148 |
| Basic Technical Readings | 148 |
| Application Readings | 148 |
| 7. Rank Ordered Data | 149 |
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| 7.1 Conjoint Analysis – MONANOVA | 149 |
| 7.1.1 Effect Coding Versus Dummy Variable Coding | 149 |
| 7.1.2 Design Programs | 154 |
| 7.1.3 Estimation of Part-worth Coefficients | 155 |
| 7.2 Ordered Probit | 156 |
| 7.3 Examples | 159 |
| 7.3.1
|