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E-raamat: Multilateral Wellbeing Comparison in a Many Dimensioned World: Ordering and Ranking Collections of Groups

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This book addresses the disparities that arise when measuring and modeling societal behavior and progress across the social sciences. It looks at why and how different disciplines and even researchers can use the same data and yet come to different conclusions about equality of opportunity, economic and social mobility, poverty and polarization, and conflict and segregation. Because societal behavior and progress exist only in the context of other key aspects, modeling becomes exponentially more complex as more of these aspects are factored into considerations. The content of this book transcends disciplinary boundaries, providing valuable information on measuring and modeling to economists, sociologists, and political scientists who are interested in data-based analysis of pressing social issues.



         

1 Measuring the Wellbeing of Groups
1(22)
1.1 Introduction
1(2)
1.2 An Outline of What Follows
3(3)
1.3 Measuring Wellbeing: The Social Welfare Function
6(4)
1.4 Measuring Wellbeing: The Benthamite Tradition
10(1)
1.5 The Pigou-Dalton Principle: "Inequality Is a Bad Thing"
11(1)
1.6 Polarization
12(1)
1.7 Social Exclusion
13(3)
1.8 Equality of Opportunity and Social Mobility
16(2)
1.9 The Rawlsian Principle and the Focus on Poverty
18(1)
1.10 What to Do Now?
18(5)
References
19(4)
2 Statistical Matters
23(38)
2.1 Introduction
23(1)
2.2 Probability Distributions
24(13)
2.3 Parametric and Non-Parametric Distributions
37(6)
2.4 Kernel Estimation
43(6)
2.5 Stochastic Dominance Relations
49(1)
2.6 Comparing Distributions
50(3)
2.7 The Test Inconsistency Problem
53(8)
References
59(2)
3 Complete Orderings: Index Types and the Ambiguity Problem
61(36)
3.1
Chapter Outline
61(1)
3.2 Introduction
62(2)
3.3 Indices for the Level of Wellbeing
64(1)
3.4 Some Unit Free Inequality Measures
65(4)
3.5 Inequality Adjusted Wellbeing Levels
69(3)
3.6 Polarization Measures
72(6)
3.7 Multivariate Polarization Indices
78(4)
3.8 Poverty Measurement
82(5)
3.9 Equal Opportunity and Mobility Indices
87(2)
3.10 Exploring the Impact of Ambiguity
89(8)
References
92(5)
4 Partial Orderings
97(38)
4.1 Introduction
98(3)
4.2 Stochastic Dominance Criteria
101(6)
4.3 On Restricting the Criterion Space
107(2)
4.4 Stochastic Dominance and Inequality Orderings
109(1)
4.5 Stochastic Dominance and Poverty Orderings
110(1)
4.6 Stochastic Dominance and Polarization
111(4)
4.7 The Problem of Ambiguity and Conditions for its Absence
115(6)
4.8 Determination of Ambiguity Groupings: Non Ambiguity Cuts and Groups
121(2)
4.9 Tools for Ordering Groups and Quantifying their Differences
123(12)
References
132(3)
5 Comparing Latent Subgroups
135(18)
5.1 Introduction
135(4)
5.2 Semi-Parametric Mixture Distributions
139(2)
5.3 The Probability of Class Membership of an Agent with an Income x
141(2)
5.4 Estimating the Model
143(1)
5.5 Determining the Number of Classes
144(1)
5.6 Studying the Probability of Class Membership
145(1)
5.7 Comparing the Subgroups
146(1)
5.8 An Example: The Eurozone Income Distribution
146(7)
References
149(4)
6 Ambiguity, Comparability, Segmentation and All That
153(28)
6.1 Introduction
153(5)
6.2 An "Absence of Ambiguity" Criteria
158(2)
6.3 Dealing with Ambiguity within Two Groups
160(2)
6.4 Two Ambiguity Indices
162(3)
6.5 Ambiguity in Inequality Measures
165(3)
6.6 Determination of Ambiguity Groupings: Unambiguous Cuts and Groups
168(2)
6.7 An Empirical Application
170(9)
6.8 Conclusions
179(2)
References
179(2)
7 Some Applications
181(22)
7.1 Introduction
181(1)
7.2 An Example of Canadian Unidimensional Income Distribution Analysis
182(2)
7.3 A Multidimensional Equal Opportunity Example: German Educational Attainment
184(3)
7.4 An Example in Portfolio Choice
187(2)
7.5 Gender Equality in Sub Saharan Africa Irrigation Schemes
189(6)
7.6 A Multidimensional Human Development Example
195(8)
References
199(4)
Index 203
Gordon Anderson is a member of the Governing Councils and Editorial Boards of The International Association for Research in Income and Wealth, and ECINEQ (Society for the Study of Economic Inequality). He has held Chair positions at the University of Toronto and was also a Professor at McMaster University, both in Canada. He received the Bowley Prize in 1983 and the Sayers Prize in 1984, the Journal of Applied Econometrics' Distinguished Author Award in 2004, and the Connaught Senior Research Fellowship in 2005 and is a Fellow of the Journal of Econometrics.