Generalizing the Mean and Variance to Categorical Data Using Metrics

Abstract

Researchers have developed ways to generalize the mean and variance to situations in which a data metric is available. We apply the tools developed in Pennec (2006) to categorical data, and show the generality of this approach by considering two quite different applications. First, spelling variability in Middle English is quantified. Second, variability of a finite group (in the sense of group theory) is defined and applied to an example.

Proceedings based on a talk at the Joint Statistical Meetings, 2013

Cited by in corpus (2)

• StructureBoost: Efficient Gradient Boosting for Structured Categorical Variables
• Quantifying Prosodic Variability in Middle English Alliterative Poetry