Measures of Voting Unit I: The Rice Index (UMAP)

A unit that applies probability and statistics to measures of voting. The purpose of this module is to help students: 1) develop a better understanding of the interaction between math and social science; 2) develop skills in applying and calculating probabilites and expectations; and 3) learn to utilize the binomial distribution

Table of Contents:

I. THE RICE INDEX (UNIT 271a)
1. Introduction
2. The Rice Index of Unity
3. Group Size
4. Expected Value
5. Theoretical Problems
6. Bibliography

II. THE PROBABILITY OF AGREEMENT MEASURE (UNIT 271b)
1. Introduction
2. The Probability of Agreement
3. Other Problems
4. More than Two Alternatives
5. Theoretical Problems
6. Bibliography

III. THE ALPHA-INDEX
1. Introduction
2. The Context of a Vote
3. The Alpha-Index
4. Properties of the Alpha-Index
5. An Application of the Alpha-Index
6. Theoretical Problems
7. Bibliography

SOLUTIONS TO EXERCISES AND THEORETICAL PROBLEMS