Application of some statistical methods for comparing samples of Hue‐Angle data

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Abstract
Several color spaces utilize angular measures of hue:for example, CIE 1976 u, v hue‐angle; CIE 1976 a, b hueangle. Such measures are not amenable to conventional statistical analysis, unless a categorization of hue‐angles has previously been decided upon, in which case nonparametric tests are appropriate. In this article we present two recently established methods that are appropriate for the parametric statistical analysis of hue‐angle data from two or more samples: [i] a test of the equality of angular variances; [ii] a test of the equality of mean angles. These tests may be performed easily on a microcomputer and produce statistics conforming approximately to well known distributions. We envisage that the tests will be of interest to psychologists and others working in the field of color research. © 1992 John Wiley & Sons, Inc.