List of figures |
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xviii | |
List of tables |
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xx | |
Notes on authors |
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xxiii | |
Preface |
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xxv | |
How to use this book |
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xxvii | |
Part 1 Linking models to data for development |
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1 | (192) |
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1 An introduction to empirical development economics |
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3 | (14) |
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1.1 The objective of the book |
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3 | (1) |
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1.2 Models and data: the Harris-Todaro model |
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4 | (2) |
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1.3 Production functions and functional form |
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6 | (5) |
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1.3.1 The Cobb-Douglas production function |
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6 | (4) |
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1.3.2 The constant elasticity of substitution (CES) functional form |
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10 | (1) |
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1.4 A model with human capital |
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11 | (2) |
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13 | (1) |
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13 | (1) |
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1.5.2 Interpreting the data |
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14 | (1) |
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14 | (1) |
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15 | (2) |
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Section I Cross-section data and the determinants of incomes |
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17 | (58) |
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2 The linear regression model and the OLS estimator |
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19 | (14) |
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2.1 Introduction: models and causality |
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19 | (1) |
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2.2 The linear regression model and the OLS estimators |
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20 | (6) |
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2.2.1 The linear regression model as a population model |
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20 | (1) |
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2.2.2 The zero conditional mean assumption |
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21 | (3) |
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24 | (2) |
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2.3 The Mincerian earnings function for the South African data |
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26 | (2) |
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2.4 Properties of the OLS estimators |
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28 | (3) |
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2.4.1 The assumptions for OLS to be unbiased |
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28 | (1) |
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2.4.2 The assumptions for OLS to be minimum variance |
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29 | (2) |
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2.5 Identifying the causal effect of education |
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31 | (1) |
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31 | (1) |
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32 | (1) |
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3 Using and extending the simple regression model |
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33 | (14) |
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33 | (1) |
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3.2 Dummy explanatory variables and the return to education |
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33 | (3) |
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36 | (4) |
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3.3.1 Earnings and production functions |
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36 | (1) |
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3.3.2 The OLS estimators for multiple regression |
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37 | (2) |
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3.3.3 Omitted variables and the bias they may cause |
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39 | (1) |
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3.4 Interpreting multiple regressions |
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40 | (5) |
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3.4.1 How much does investing in education increase earnings? Some micro evidence |
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40 | (3) |
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3.4.2 How much does investing in education increase productivity? Some macro evidence |
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43 | (2) |
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45 | (1) |
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45 | (2) |
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4 The distribution of the OLS estimators and hypothesis testing |
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47 | (15) |
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47 | (1) |
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4.2 The distribution of the OLS estimators |
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47 | (2) |
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4.2.1 The normality assumption |
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47 | (1) |
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48 | (1) |
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4.3 Testing hypotheses about a single population parameter |
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49 | (6) |
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49 | (2) |
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51 | (2) |
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4.3.3 Confidence intervals |
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53 | (2) |
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4.4 Testing for the overall significance of a regression |
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55 | (2) |
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4.5 Testing for heteroskedasticity |
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57 | (1) |
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4.6 Large sample properties of OLS |
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58 | (2) |
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58 | (2) |
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4.6.2 Asymptotic normality |
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60 | (1) |
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60 | (1) |
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61 | (1) |
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5 The determinants of earnings and productivity |
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62 | (13) |
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62 | (1) |
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5.2 Testing the normality assumption |
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62 | (3) |
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5.3 The earnings function |
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65 | (2) |
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5.3.1 Bringing the tests together |
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65 | (1) |
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5.3.2 Robust and clustered standard errors |
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65 | (2) |
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5.4 The production function |
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67 | (5) |
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5.4.1 Testing the production function |
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67 | (1) |
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5.4.2 Extending the production function |
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67 | (5) |
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5.5 Interpreting our earnings and production functions |
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72 | (2) |
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5.5.1 Can education be given a causal interpretation? |
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72 | (1) |
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5.5.2 How much does education raise labour productivity? |
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73 | (1) |
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74 | (1) |
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74 | (1) |
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Section II Time-series data, growth and development |
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75 | (46) |
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6 Modelling growth with time-series data |
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77 | (18) |
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6.1 Introduction: modelling growth |
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77 | (1) |
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6.2 An introduction to the Solow model |
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78 | (2) |
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6.3 A Solow model for Argentina |
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80 | (1) |
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6.4 OLS estimates under the classical assumptions with time-series data |
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81 | (4) |
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6.4.1 Assumptions for OLS to be unbiased |
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81 | (2) |
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6.4.2 The variance of the OLS estimators |
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83 | (2) |
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6.4.3 Testing for autocorrelation |
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85 | (1) |
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6.5 Static and dynamic time-series models |
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85 | (2) |
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6.6 Assumptions to ensure the OLS estimators are consistent |
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87 | (2) |
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6.7 Spurious regression with nonstationary time-series data |
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89 | (2) |
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91 | (1) |
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92 | (1) |
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93 | (2) |
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7 The implications of variables having a unit root |
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95 | (14) |
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7.1 Introduction and motivation |
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95 | (1) |
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7.2 Testing for a unit root and the order of integration |
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96 | (4) |
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100 | (1) |
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7.4 How are growth and inflation related in Argentina? |
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101 | (3) |
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7.5 The error-correction model |
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104 | (1) |
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7.6 Causality in time-series models |
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105 | (1) |
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7.7 Cross-section and time-series data |
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106 | (1) |
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107 | (1) |
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107 | (2) |
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8 Exogenous and endogenous growth |
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109 | (12) |
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8.1 The Solow model and the history of development |
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109 | (1) |
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8.2 Long-term growth and structural change |
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109 | (3) |
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8.3 The Solow model, structural change and endogenous growth |
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112 | (1) |
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8.4 Human capital and the dynamic Solow model |
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113 | (3) |
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8.5 Exogenous and endogenous growth |
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116 | (2) |
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8.6 A Solow interpretation of development patterns |
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118 | (1) |
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118 | (1) |
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119 | (1) |
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Appendix: deriving the dynamic Solow model |
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119 | (2) |
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121 | (48) |
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9 Panel data: an introduction |
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123 | (17) |
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123 | (1) |
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123 | (4) |
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9.2.1 The structure of the panel |
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123 | (1) |
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9.2.2 Panel data and endogeneity |
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124 | (3) |
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9.3 Panel production functions |
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127 | (7) |
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9.3.1 A panel macro production function |
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127 | (3) |
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9.3.2 A panel micro production function |
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130 | (4) |
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9.4 Interpreting the fixed effect |
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134 | (1) |
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135 | (1) |
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135 | (1) |
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Appendix: matrix notation |
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135 | (5) |
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10 Panel estimators: POLS, RE, FE, FD |
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140 | (13) |
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140 | (1) |
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140 | (3) |
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10.2.1 The fixed effects and first difference estimators |
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140 | (2) |
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10.2.2 The random effects estimator |
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142 | (1) |
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10.3 Key assumptions for consistency |
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143 | (1) |
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144 | (3) |
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10.4.1 Testing for correlation between the c, and the explanatory variables |
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145 | (1) |
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10.4.2 Testing for the presence of an unobserved effect |
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146 | (1) |
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10.5 The micro panel production function extended |
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147 | (1) |
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10.6 What determines the productivity of Ghanaian firms? |
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148 | (4) |
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152 | (1) |
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152 | (1) |
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11 Instrumental variables and endogeneity |
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153 | (16) |
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153 | (1) |
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11.2 Sources of bias in the OLS estimates |
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153 | (3) |
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11.2.1 Bias from omitted variables |
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153 | (1) |
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11.2.2 Bias from measurement error |
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154 | (1) |
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11.2.3 Panel data: omitted variables and measurement error |
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155 | (1) |
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11.3 Instrumental variables |
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156 | (4) |
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11.3.1 Valid and informative instruments |
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157 | (2) |
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11.3.2 Interpreting the IV estimator |
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159 | (1) |
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11.4 The properties of the IV estimator |
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160 | (2) |
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11.4.1 The IV and OLS estimators compared |
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160 | (1) |
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11.4.2 Inference with the IV estimator |
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161 | (1) |
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11.5 The causes of differences in world incomes |
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162 | (5) |
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167 | (1) |
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168 | (1) |
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Section IV An introduction to programme evaluation |
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169 | (24) |
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12 The programme evaluation approach to development policy |
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171 | (11) |
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12.1 Introduction: causal effects and the counterfactual problem |
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171 | (1) |
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172 | (5) |
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12.2.1 Potential outcomes |
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172 | (1) |
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12.2.2 Assignment mechanism |
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173 | (1) |
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12.2.3 Defining measures of impact |
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174 | (1) |
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12.2.4 From potential outcomes to regression |
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174 | (3) |
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12.3 Selection on observables |
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177 | (2) |
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12.3.1 Ignorability of treatment |
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177 | (1) |
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178 | (1) |
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12.4 Unconditional unconfoundedness and the experimental approach |
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179 | (1) |
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180 | (1) |
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180 | (2) |
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13 Models, experiments and calibration in development policy analysis |
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182 | (13) |
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182 | (1) |
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13.2 Empirical estimators under ( conditional) unconfoundedness |
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182 | (3) |
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13.2.1 Multivariate regression |
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183 | (1) |
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13.2.2 Panel data methods |
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184 | (1) |
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13.3 A randomised controlled trial ( RCT) for conditional cash transfers |
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185 | (3) |
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13.4 Calibrating technology |
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188 | (2) |
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13.5 Education, technology and poverty |
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190 | (1) |
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190 | (1) |
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191 | (2) |
Part 2 Modelling development |
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193 | (230) |
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14 Measurement, models and methods for understanding poverty |
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195 | (12) |
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195 | (1) |
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14.2 The causes of poverty |
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195 | (4) |
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14.2.1 Poverty and GDP data |
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195 | (1) |
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14.2.2 Poverty, consumption and incomes |
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196 | (1) |
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14.2.3 Poverty, inequality and GDP |
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197 | (2) |
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14.3 The Mincerian earnings function, the price of labour and poverty |
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199 | (2) |
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201 | (2) |
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14.4.1 A generalised Roy model of selection |
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201 | (1) |
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14.4.2 Implications of the Roy model for estimation of treatment effects |
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202 | (1) |
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14.5 An overview: measurement, models and methods |
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203 | (1) |
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204 | (1) |
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205 | (2) |
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Section V Modelling choice |
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207 | (64) |
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15 Maximum likelihood estimation |
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209 | (17) |
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209 | (1) |
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15.2 The concept of maximum likelihood |
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209 | (2) |
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15.3 The concept of population |
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211 | (1) |
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15.4 Distributional assumptions and the log-likelihood function |
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211 | (3) |
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15.5 Maximising the (log-)likelihood |
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214 | (1) |
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15.6 Maximum likelihood in Stata |
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215 | (3) |
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15.7 Problems and warnings |
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218 | (2) |
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15.7.1 Maximum likelihood and endogeneity |
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218 | (1) |
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15.7.2 Maximum likelihood and convergence |
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219 | (1) |
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15.8 Properties of maximum likelihood estimates |
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220 | (2) |
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221 | (1) |
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221 | (1) |
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221 | (1) |
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15.9 Hypothesis testing under maximum likelihood |
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222 | (2) |
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224 | (1) |
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224 | (1) |
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224 | (2) |
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16 Modelling choice: the LPM, probit and logit models |
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226 | (13) |
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226 | (1) |
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16.2 Binary choices and interpreting the descriptive statistics |
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227 | (1) |
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16.3 Estimation by OLS: the linear probability model |
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228 | (3) |
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16.4 The probit and logit models as latent variable models |
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231 | (3) |
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232 | (2) |
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234 | (1) |
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16.5 Maximum likelihood estimation of probit and logit models |
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234 | (1) |
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235 | (2) |
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237 | (1) |
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237 | (2) |
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17 Using logit and probit models for unemployment and school choice |
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239 | (15) |
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239 | (1) |
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17.2 Interpreting the probit model and the logit model |
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240 | (5) |
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17.2.1 A model of unemployment |
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240 | (1) |
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17.2.2 Average partial effects and marginal effects at the mean |
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240 | (5) |
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17.2.3 Age and education as determinants of unemployment in South Africa |
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245 | (1) |
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245 | (3) |
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17.4 Indian private and state schools |
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248 | (2) |
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17.4.1 How well do private schools perform? |
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248 | (1) |
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17.4.2 Who attends a private school? |
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249 | (1) |
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17.4.3 Mother's education and wealth as determinants of attending private school in India |
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250 | (1) |
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17.5 Models of unemployment and school choice |
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250 | (2) |
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252 | (1) |
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252 | (2) |
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18 Corner solutions: modelling investing in children and by firms |
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254 | (17) |
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254 | (1) |
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18.2 OLS estimation of corner response models |
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255 | (5) |
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18.2.1 Investment in Ghana's manufacturing sector |
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255 | (3) |
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18.2.2 Gender discrimination in India |
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258 | (2) |
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260 | (2) |
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262 | (6) |
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18.4.1 Truncated normal hurdle model |
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264 | (1) |
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18.4.2 The log-normal hurdle model |
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265 | (3) |
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268 | (1) |
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268 | (1) |
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269 | (1) |
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Appendix: the Inverse Mills Ratio ( IMR) |
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269 | (2) |
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Section VI Structural modelling |
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271 | (30) |
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19 An introduction to structural modelling in development economics |
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273 | (13) |
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19.1 Introduction: the challenge of using microeconomic theory in empirical research |
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273 | (1) |
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19.2 Using a structural model to think about risk-sharing |
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274 | (2) |
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19.3 Building and solving a microeconomic model |
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276 | (5) |
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19.4 Thinking about unobservables and choosing an estimator |
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281 | (2) |
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19.4.1 The model to be estimated |
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281 | (1) |
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19.4.2 Identification in the model |
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282 | (1) |
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282 | (1) |
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19.5 Estimating the model |
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283 | (1) |
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283 | (1) |
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19.5.2 Estimation results |
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283 | (1) |
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284 | (1) |
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285 | (1) |
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285 | (1) |
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20 Structural methods and the return to education |
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286 | (15) |
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20.1 Introduction: Belzil and Hansen go to Africa |
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286 | (1) |
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286 | (1) |
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20.3 A model of investment in education |
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287 | (5) |
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20.4 Thinking about unobservables and choosing an estimator |
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292 | (4) |
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296 | (2) |
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20.5.1 'Adolescent econometricians'? |
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296 | (1) |
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20.5.2 Possible applications for structural modelling in development |
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297 | (1) |
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20.6 Structural models: hubris or humility? |
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298 | (1) |
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298 | (1) |
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299 | (2) |
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Section VII Selection, heterogeneity and programme evaluation |
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301 | (44) |
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21 Sample selection: modelling incomes where occupation is chosen |
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303 | (13) |
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303 | (1) |
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303 | (1) |
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304 | (4) |
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21.3.1 The regression with sample selection |
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304 | (1) |
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21.3.2 Modelling the correlation of the unobservables |
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305 | (3) |
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21.4 When is sample selection a problem? |
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308 | (1) |
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21.5 Selection and earnings in South Africa |
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309 | (4) |
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21.6 Corner solution and sample selection models |
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313 | (1) |
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314 | (1) |
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314 | (2) |
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22 Programme evaluation: regression discontinuity and matching |
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316 | (12) |
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316 | (1) |
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22.2 Regression discontinuity design |
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316 | (3) |
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22.3 Propensity score methods |
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319 | (3) |
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22.3.1 Regression using the propensity score |
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319 | (1) |
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22.3.2 Weighting by the propensity score |
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320 | (1) |
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22.3.3 Matching on the propensity score |
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321 | (1) |
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22.4 Food aid in Ethiopia: propensity-score matching |
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322 | (1) |
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22.5 Assessing the consequences of property rights: pipeline identification strategies |
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323 | (3) |
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22.6 Estimating treatment effects (the plot so far) |
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326 | (1) |
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326 | (1) |
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327 | (1) |
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23 Heterogeneity, selection and the marginal treatment effect (MTE) |
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328 | (17) |
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328 | (1) |
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23.2 Instrumental variables estimates under homogeneous treatment effects |
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328 | (2) |
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23.3 Instrumental variables estimates under heterogeneous treatment effects |
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330 | (3) |
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23.3.1 IV for noncompliance and heterogeneous effects: the LATE Theorem |
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330 | (2) |
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23.3.2 LATE and the compliant subpopulation |
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332 | (1) |
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23.4 Selection and the marginal treatment effect |
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333 | (6) |
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23.4.1 Interpreting the LATE in the context of the Roy model |
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333 | (3) |
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23.4.2 The marginal treatment effect |
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336 | (1) |
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23.4.3 What does IV identify? |
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337 | (2) |
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23.5 The return to education once again |
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339 | (2) |
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341 | (1) |
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342 | (1) |
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342 | (3) |
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Section VIII Dynamic models for micro and macro data |
|
|
345 | (30) |
|
24 Estimation of dynamic effects with panel data |
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347 | (14) |
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347 | (1) |
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24.2 Instrumental variable estimation of dynamic panel-data models |
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348 | (1) |
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24.3 The Arellano-Bond estimator |
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349 | (2) |
|
24.3.1 No serial correlation in the errors |
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349 | (1) |
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24.3.2 Serially correlated errors |
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350 | (1) |
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24.4 The system GMM estimator |
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351 | (1) |
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24.5 Estimation of dynamic panel-data models using Stata |
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352 | (3) |
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355 | (3) |
|
24.6.1 The regressors are strictly exogenous |
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355 | (1) |
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24.6.2 The regressors are predetermined |
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356 | (1) |
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24.6.3 The regressors are contemporaneously endogenous |
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|
357 | (1) |
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24.6.4 Implications of serial correlation in the error term |
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|
357 | (1) |
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24.7 Using the estimators |
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358 | (1) |
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358 | (1) |
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Appendix: the bias in the fixed effects estimator of a dynamic panel-data model |
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359 | (2) |
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25 Modelling the effects of aid and the determinants of growth |
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361 | (14) |
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361 | (1) |
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25.2 Dynamic reduced-form models |
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361 | (7) |
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25.2.1 Aid, policy and growth |
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361 | (3) |
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364 | (2) |
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25.2.3 Differenced and system GMM estimators |
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366 | (2) |
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25.3 Growth rate effects: a model of endogenous growth |
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368 | (3) |
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25.3.1 Dynamic and growth rate models |
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368 | (2) |
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25.3.2 Is there evidence for endogenous growth? |
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370 | (1) |
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25.4 Aid, policy and growth revisited with annual data |
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371 | (1) |
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25.4.1 Cross section and time-series uses of macro data |
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371 | (1) |
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25.4.2 Growth and levels effects of aid |
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371 | (1) |
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25.5 A brief overview: aid, policy and growth |
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372 | (1) |
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373 | (1) |
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373 | (2) |
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Section IX Dynamics and long panels |
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375 | (40) |
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26 Understanding technology using long panels |
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377 | (11) |
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377 | (1) |
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26.2 Parameter heterogeneity in long panels |
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378 | (1) |
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26.3 The mean group estimator |
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379 | (4) |
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26.4 Cross-section dependence due to common factors |
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383 | (3) |
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386 | (1) |
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386 | (1) |
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386 | (2) |
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27 Cross-section dependence and nonstationary data |
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388 | (14) |
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388 | (1) |
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27.2 Alternative approaches to modelling cross-section dependence |
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388 | (2) |
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27.2.1 Country fixed effects and year dummies |
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389 | (1) |
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27.2.2 Estimating unobserved common factors |
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389 | (1) |
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27.2.3 Constructing weight matrices |
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390 | (1) |
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27.3 Modelling cross-section dependence using cross-section averages |
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390 | (3) |
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27.4 Detecting cross-section dependence |
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393 | (1) |
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27.5 Panel unit root testing |
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394 | (2) |
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27.5.1 First-generation panel unit root test |
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394 | (1) |
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27.5.1.1 The Im, Pesaran and Shin test (IPS) |
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395 | (1) |
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27.5.1.2 The Maddala and Wu test (MW) |
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395 | (1) |
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27.5.2 Second-generation panel unit root test |
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395 | (1) |
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27.5.2.1 The PANIC approach |
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395 | (1) |
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27.5.2.2 The CIPS and CIPSM tests |
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396 | (1) |
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27.6 Cointegration testing in panels |
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396 | (1) |
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27.6.1 Residual analysis and error-correction models |
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396 | (1) |
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27.6.2 Tests for panel cointegration |
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397 | (1) |
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27.7 Parameter heterogeneity, nonstationary data and cross-section dependence |
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397 | (2) |
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399 | (1) |
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400 | (2) |
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28 Macro production functions for manufacturing and agriculture |
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402 | (13) |
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402 | (1) |
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28.2 Estimating a production function for manufacturing |
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403 | (4) |
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28.2.1 The homogeneous models |
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403 | (2) |
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28.2.2 The heterogeneous models |
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|
405 | (2) |
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28.3 Estimating a production function for agriculture |
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407 | (5) |
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|
408 | (1) |
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28.3.2 What determines the productivity of agriculture? |
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|
409 | (3) |
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28.4 Manufacturing and agriculture and the growth of an economy |
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412 | (1) |
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412 | (1) |
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413 | (2) |
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415 | (8) |
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29 How can the processes of development best be understood? |
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417 | (6) |
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417 | (1) |
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29.2 A range of answers as to the causes of poverty |
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417 | (2) |
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29.3 Macro policy, growth and poverty reduction |
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|
419 | (1) |
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29.4 Programme evaluation and structural models |
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419 | (1) |
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29.4.1 Programme evaluation and the 'failure' of poverty policies |
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|
419 | (1) |
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29.4.2 Structural models and understanding the causes of poverty |
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|
420 | (1) |
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29.5 Skills, technology and the returns on investment |
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|
420 | (1) |
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29.5.1 The value of skills |
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|
420 | (1) |
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29.5.2 The role of technology |
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|
421 | (1) |
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29.5.3 Rates of return on investment |
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|
421 | (1) |
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|
421 | (1) |
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|
422 | (1) |
Bibliography |
|
423 | (8) |
Index |
|
431 | |