**The Problem With Analyzing Parliamentary Roll Call Votes
With Probit or Logit**

Remarks Delivered at CASBS

16 October 2003

Keith T. Poole

- Introduction -- The Problem of Perfect Voting

- Perfect Voting in Two Dimensions

- Basic Matrix Representation

- The Geometry of the Problem

- The Geometry of Probit and
Logit

- The Cutting Plane and Normal Vector

- Exploding Probabilities

- Probabilistic Models and Low Levels of Error

- The Cutting Plane Procedure

- Exploiting the Basic Geometry
to Solve the Problem

- Given the Normal Vector, Find the
Best Cutting Plane -- The
*Janice Algorithm*

- Changing the Orientation of the Cutting Plane
to find a Better Normal Vector

- Examples

- References