# Book:Hayward R. Alker, Jr./Mathematics and Politics

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## Hayward R. Alker, Jr.:

## Hayward R. Alker, Jr.: *Mathematics and Politics*

Published $\text {1965}$.

### Subject Matter

### Contents

- Preface
- Acknowledgements

- chapter $1$
- Mathematics and Politics: Some Historical Relationships
- A. Elements in the History of Mathematics
- B. Early Applicaitons of Mathematics to Politics
- C. Mathematics for Political Analysis

- chapter $2$
- Politics and its Measurement
- A. Definitions of Politics
- B. Questions Asked by Political Analysts
- C. Qualitative and Quantitative Political Analysis
- D. Requirements of Scientific Descriptions

- chapter $3$
- Measuring Inequality
- A. Mathematical Definitions of Inequality
- B. Unequal Votes, Taxes, and Schools

- chapter $4$
- Two-variable Relationships
- A. Relationships between Attributes
- B. Correlation and Regression Analysis
- C. Associating Qualitites Means Correlation Quantities

- chapter $5$
- Multiple Relationships
- A. The Effects of a Third Variable
- B. The Analysis of Covariance: A General Formulation
- C. Multivariate Theories about Politics

- chapter $6$
- Correlation and Causation
- A. Evidence and Inference
- B. Spurious Correlation: A Causal Interpretation
- C. A Provisional Causal Analysis

- chapter $7$
- Strategy, Morality, and Politics
- A. Zero-sum Rationality in Conflict Situations
- B. Cooperative Rationality in Non-zero-sum Conflicts
- C. Game Theory and Democratic Theory

- appendix
- Political Judgement and Statistical Significance