New Methods for Measuring and Analyzing Segregation.

• Superior document: The Springer Series on Demographic Methods and Population Analysis Series ; v.42
• Author: Fossett, Mark.
• Place / Publishing House: Cham : : Springer International Publishing AG,, 2017.; ©2017.
• Year of Publication: 2017
• Edition: 1st ed.
• Language: English
• Series: The Springer Series on Demographic Methods and Population Analysis Series
• Physical Description: 1 online resource (348 pages)

Table of Contents

Intro -- Abstract -- Preface -- Contents -- List of Figures -- List of Tables -- Chapter 1: Introduction and Goals -- References -- Chapter 2: Alternative Formulas for Selected Indices -- References -- Chapter 3: Overview of the "Difference of Means" Framework -- 3.1 Index Formulas: The Current State of Affairs -- 3.2 The Difference of Means Formulation - The General Approach -- 3.3 Additional Preliminary Remarks on Implementation -- References -- Chapter 4: Difference of Means Formulations for Selected Indices -- 4.1 Scoring Residential Outcomes (y) for the Delta or Dissimilarity Index (D) -- 4.2 Scoring Residential Outcomes (y) for the Gini Index (G) -- 4.3 The Delta or Dissimilarity Index (D) as a Crude Version of G -- 4.4 Scoring Residential Outcomes (y) for the Separation Index (S) -- 4.5 A Side Comment on the Separation Index (S) and Uneven Distribution -- 4.6 Scoring Residential Outcomes (y) for the Theil Index (H) -- 4.7 Scoring Residential Outcomes (y) for the Hutchens Square Root Index (R) -- References -- Chapter 5: Index Differences in Registering Area Group Proportions -- 5.1 Segregation as Group Differences in Individual Residential Attainments -- 5.2 Implications for Sensitivity to Separation and Polarization -- References -- Chapter 6: Empirical Relationships Among Indices -- 6.1 When Do Indices Agree? When Can They Disagree? -- 6.2 Why Does Relative Group Size Matter? -- References -- Chapter 7: Distinctions Between Displacement and Separation -- 7.1 The Increasing Practical Importance of the Distinction Between Displacement and Separation -- 7.2 Prototypical Segregation and Concentrated Versus Dispersed Displacement -- 7.2.1 Prototypical Segregation -- 7.3 Clarifying the Logical Potential for D-S Concordance and Discordance - Analysis of Exchanges.

7.3.1 Overview of D-S Differences in Responding to Integration-Promoting Exchanges -- 7.3.2 Examples of D-S Differences in Responding to Integration-Promoting Exchanges -- 7.3.3 Implications of Analysis of Example Exchanges -- 7.4 Clarifying the Potential for D-S Concordance and Discordance - Analytic Models -- 7.4.1 Examples of Calculating Values of SMin Given Values of D and P -- 7.4.2 Examining D, SMax, and SMin over Varying Combinations of D and P -- 7.4.3 Implications of Findings from Analytic Models for SMax and SMin -- 7.5 Is Separation a Distinct Dimension of Segregation? -- References -- Chapter 8: Further Comments on Differences Between Displacement and Separation -- 8.1 Revisiting the Empirical Relationships of Displacement (D) and Separation (S) -- 8.2 Scenarios for How D and S Discrepancies Can Arise -- 8.3 A Practical Issue When Comparing D and S - Size of Spatial Units -- 8.3.1 A Case Study of White-Black Segregation Cullman County Alabama -- 8.3.2 A Case Study of White-Minority Segregation in Palacios TX -- 8.3.3 Reiterating the Importance of Using "Right-Sized" Spatial Units -- 8.3.4 More Practical Guidance for Using S -- 8.4 A Simple Index of Polarization -- References -- Chapter 9: Unifying Micro-level and Macro-level Analyses of Segregation -- 9.1 New Ways to Work with Detailed Summary File Tabulations -- 9.2 Some Preliminaries -- 9.3 Substantive Findings -- 9.4 Opportunities to Perform Standardization and Components Analysis -- 9.5 Comparison with Previous Approaches to "Taking Account" of Non-racial Social Characteristics -- 9.6 Aggregate-Level Controls for Micro-level Determinants of Residential Outcomes -- 9.7 New Interpretations of Index Scores Based on Bivariate Regression Analysis -- 9.8 Multivariate Segregation Attainment Analysis (SAA).

9.9 Unifying Aggregate Segregation Studies and Studies of Individual-Level Residential Attainment -- 9.10 New Possibilities for Investigating Segregation Using Restricted Data -- 9.11 An Example Analysis Using Restricted Microdata -- References -- Chapter 10: New Options for Investigating Macro-level Variation in Segregation -- 10.1 New Specifications for Conducting Comparative and/or Trend Analyses of Segregation -- References -- Chapter 11: Aspatial and Spatial Applications of Indices of Uneven Distribution -- References -- Chapter 12: Relevance of Individual-Level Residential Outcomes for Describing Segregation -- 12.1 An Example Analysis of Segregation and Exposure to Neighborhood Poverty -- Chapter 13: Relevance of Individual-Level Residential Outcomes for Segregation Theory -- References -- Chapter 14: Index Bias and Current Practices -- 14.1 Overview of the Issue of Index Bias -- 14.1.1 Effective Neighborhood Size (ENS): A Further Complication -- 14.1.2 The Practical Relevance of Variation in Effective Neighborhood Size -- 14.1.3 Random Distribution Is a Valid, Useful, and Conceptually Desirable Reference Point -- 14.2 Prevailing Practices for Avoiding Complications Associated with Index Bias -- 14.2.1 Unwelcome Consequences of Prevailing Practices -- 14.2.2 Efficacy of Prevailing Practices: Screening Cases on Minority Population Size -- 14.2.3 Efficacy of Prevailing Practices: Weighting Cases by Minority Population Size -- 14.2.4 An Aside on Weighting Cases by Minority Population Size -- 14.2.5 Summing Up Comments on Prevailing Practices -- 14.3 Limitations of Previous Approaches for Dealing Directly with Index Bias -- 14.4 Summary -- References -- Chapter 15: New Options for Understanding and Dealing with Index Bias -- 15.1 The Source of the Initial Insight -- 15.2 Building on the Initial Insight.

15.3 A More Detailed Exposition of Bias in the Separation Index -- 15.4 Situating This Result and Its Implications in the Difference of Means Framework -- 15.4.1 Expected Distributions of pʹ and yʹ Under Random Assignment -- 15.5 Reviewing a Simple Example in Detail -- 15.5.1 Additional Reflections on Results Presented in Tables 15.1 and 15.2 -- 15.6 Summary -- References -- Chapter 16: Comparing Behavior of Unbiased and Standard Versions of Popular Indices -- 16.1 Documenting the Attractive Behavior of Unbiased Versions of Indices of Uneven Distribution -- 16.1.1 Summary of Behavior of Unbiased Indices -- 16.2 Documenting Additional Desirable Behavior of Unbiased Indices Based on the Difference of Means Formulation -- 16.3 Conceptual and Practical Issues and Potential Impact on Research -- References -- Chapter 17: Final Comments -- References -- Appendices -- Appendix A: Summary of Notation and Conventions -- Pairwise Calculations -- Reference and Comparison Groups (Groups 1 and 2) -- City-Wide Terms for Pairwise Calculations -- Area-Specific Terms for Pairwise Calculations -- Terms for Individuals or Households -- Selected Terms and Conventions Relevant for the Gini Index (G) -- Selected Terms and Conventions Relevant for the Theil Entropy Index (H) -- Selected Terms and Conventions Relevant for the Atkinson Index (A) -- Appendix B: Formulating Indices of Uneven Distribution as Overall Averages of Individual-Level Residential Outcomes -- Focusing Attention on Individual-Level Residential Outcomes -- Options for Spatial Versions of Indices of Uneven Distribution -- Summary of Difference of Means Formulations -- Appendix C: Establishing the Scaling Functions y=f(p) Needed to Cast the Gini Index (G) and the Dissimilarity Index (D) as Differences of Group Means on Scaled Pairwise Contact -- The General Task.

Introducing the Function y= f( p) for the Gini Index (G) -- G Is a Measure of Rank Order Inequality on Contact -- Calculating G as a Difference of Means -- Deriving G as a Difference of Means -- Specifying Some Useful Terms and Relationships -- A Brief Demonstration -- Getting on with the Derivation -- Establishing Expressions (C.6, C.6a) and (C.8, C.8a) -- Establishing Expressions (C.7, C.7a) and (C.9, C.9a) -- Some Implications of Expressions (C.6) and (C.7) -- The Role of P and Q in Scaling Terms when Groups Differ in Relative Size -- The Special Circumstance When P=Q -- Summary Comments on Formulating G as a Difference of Means (YW - YB) on Relative Rank -- The Dissimilarity Index (D) - A Special Case of the Gini Index (G) -- D Is G Calculated from a Special Three-Point Segregation Curve -- D Is a Simple Difference of Group Proportions Residing in Areas Where p≥P -- The Dissimilarity or Delta Index (D) - Alternative Functions for Scaling Contact -- Alternative Graphical Explorations of Relative Rank Position -- The Nature of the Y-P Relationship for G -- Appendix D: Establishing the Scaling Function y=f(p) Needed to Cast the Separation Index (S) as a Difference of Group Means on Scaled Pairwise Contact -- Variance Analysis -- Formulation as a Difference of Means -- Appendix E: Establishing the Scaling Function Needed y=f(p) to Cast the Theil Entropy Index (H) as a Difference of Group Means on Scaled Pairwise Contact -- Adjusting the Range to 0-1 -- A Loose End When p=P -- Appendix F: Establishing the Scaling Function y=f(p) Needed to Cast the Hutchens' Square Root Index (R) as a Difference of Group Means on Scaled Pairwise Contact -- Adjusting the Range to 0-1 -- A Loose End When p=P -- An Observation -- References.