Title

Principal Points of Symmetric, Strongly Unimodal Distributions

Document Type

Article

Publication Date

7-1994

Abstract

Examples illustrate that splitting a symmetric, unimodal distribution into two groups so as to minimize the sum of the within-group variances does not always occur at the mean. Strong unimodality is shown to be a sufficient condition for the optimal cutpoint to occur at the mean.

DOI

10.1016/0167-7152(94)90012-4