1. MULTIDIMENSIONAL α-NOMINATE
Keith T. Poole
School of Public and International Affairs
University of Georgia
Athens, Georgia

2. NOMINATE Deterministic Utility

3. Expressed as an Exponential Series

4. The difference simplifies to:

5. The Difference Between the Quadratic Deterministic Utilities Simplifies to:

6. The Vector Geometry of Quadratic Utility

7. The Vector Geometry Simplifies the Standard Quadratic Utility Difference Model (also called IRT) to:

8. The Quadratic Utility Model in Two Dimensions is only identified up to “tracks” through the Space.

9. The Natural Log of the Posterior Distribution

10. Where The Mixture is Expressed

11. The Algorithm

12. The Algorithm (Continued)

13. The Algorithm (Continued)