Developing metrics for equity, diversity and competition : new measures for schools and universities / Anthony Kelly.

Format:

Book

Author/Creator:

Kelly, Anthony, 1957- author.

Language:

English

Subjects (All):

Education--Research--Statistical methods.

Education.

Educational equalization--Research.

Educational equalization.

Educational attainment--Research.

Educational attainment.

Educational tests and measurements.

Research.

Education--Research.

Physical Description:

vii, 154 pages ; 25 cm

Place of Publication:

Abingdon, Oxon ; New York, NY : Routledge, an imprint of the Taylor & Francis Group, 2017.

Summary:

Developing Metrics for Equity, Diversity and Competition is a groundbreaking book in the field of educational research. Equity, diversity and competition are critical to our understanding of social justice and the provision of effective education for everyone, and this book develops a new coherent scientific approach to measuring them. New theory and methodologies based on previous research by the author are introduced in school and university settings. They are mathematical in nature, but have a wide range of applications within mixed-methods approaches and include: warranted weighting systems for constructing league tables, game theoretic approaches to analysing power and influence, indices for measuring equity in student attainment, indices for measuring competition, modelling the educational awards market, calculating the optimal size of research groups, measuring diversity. The book is an ideal resource for educational researchers, policy-makers and high-level practitioners, and those who want to explore the possibilities of using novel approaches to address the problems faced by schools, colleges and universities in the new education landscape. Book jacket.

Contents:

1 Introduction 1

Introduction 1

The measurement imperative and a new capability approach to effectiveness 4

Rawlsian and anti-Rawlsian theories of justice 6

The rationale for this book 9

Notes 10

2 A fair weighting system for ranking tables: measuring quality in Higher Education research 12

Introduction 12

The ranking of university research in the UK: background 15

Applying the model 19

Analysis using 'justified 3-weight' and justified 4-weight' systems 20

Notes 26

3 Measuring equity and influence on school governance committees and among stakeholder groups: the application of cooperative multiperson game theory 28

Introduction 28

A theory of coalitions and factionalism on school boards 28

The Shapley Value 30

The Shapley-Shubik Index 31

School models 32

Power analyses of school models 33

Conclusions 40

Note 43

4 Measuring equity in student attainment 44

Introduction 44

Range Ratios, in all their guises 46

The Coefficient of Variation 47

The McLoone Index 47

Thai's T 49

The Attainment Equity Index 56

Properties and desirable characteristics of the various equity metrics 67

Conclusion 69

Notes 70

Notes 71

5 Modelling a fair market for educational awards and the treatment of oligopolies 73

Introduction 73

Background 73

An overview of the education awards market 74

An overview of competition and cooperation 75

Three models 76

Conclusion 84

Notes 85

6 The critical mass of working groups: the relationship between quality and size in research centres 86

Introduction 86

The relationship between output quality and the number producing it 87

Applying the model to the quality of research in university departments 89

Analysis by Kenna and Berche of various subject areas 92

Notes 94

7 Measuring competitiveness in education: the Herfindahl Index 95

Introduction 95

Introduction to the REP and its methodology 99

League table methodology 100

The problem of measuring market share in some contexts 101

Applying the Herfindahl Index to the 2014 REF: analysing the findings 103

Conclusions and wrap-up analysis 112

Notes 113

8 Measuring diversity in education 115

Introduction 115

True Diversity 115

The Shannon group of indices 116

The Simpson group of indices 119

Conclusions 122

Notes 123

Notes 125

9 Problems and paradoxes 126

The problem of social mobility and schooling 126

Social Network Analysis and the Feld Paradox 131

Birth-order, educational attainment and the base rate fallacy 133

Simpson's Paradox in school improvement 140

Notes 144.

Notes:

Includes bibliographical references and index.

Other Format:

Online version: Kelly, Anthony, 1957- author. Developing metrics for equity, diversity and competition

ISBN:

9781138783744

1138783749

9781138783751

1138783757

OCLC:

953792389