Comparing Conditional Probability Matrices
Abstract
In a wide variety of tasks, a person's performance may be characterized by a conditional probability matrix having one row for each possible stimulus, one column for each possible response, and with each cell entry being a conditional probability of the form P (response/stimulus). This paper describes a method for measuring how close one person's conditional probability matrix is either to another person's matrix, to the person's own matrix in another condition, or to the matrix predicted by a model. We describe a method for defining an inner product on the space of all SxR matrices. The inner product of two persons' conditional probability matrices measures their trial-by-trial response agreement. This inner product induces a distance metric on the space of all SxR matrices. We then describe a method for empirically estimating the inner product of two persons' matrices. From inner-product estimates, a distance estimate may be calculated.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1989
- Accession Number
- ADA211767
Entities
People
- D. E. Bamber