Abstract

A sample of 656 color matches made on a binocular wide-field colorimeter was studied for normality by the chi-square test. The observing conditions were typical of those used in color-discrimination experiments. Observing sessions of thirty observations each were considered individually. In addition, a nonlinear instrument drift was removed from the data within each observing session. Following these precautions, the trivariate color matches were studied, a single variate at a time. Chi-square values were computed by dividing the data into cells of equal expected frequency. The distribution in terms of the instrument primaries was found to be normal. The data were individually transformed by the principal axis transformation and the chi-square values were again computed. The distributions were again found to be normal. The normality of the univariate distributions in the two coordinate systems is taken as strong evidence of the trivariate normality of the distribution of color matches.

© 1956 Optical Society of America

Some Multivariate Statistical Techniques Used in Color Matching Data

J. Edward Jackson
J. Opt. Soc. Am. 49(6) 585-592 (1959)

Statistics of color-matching experimental data

Fernando Carreño and Jesús Manuel Zoido
Appl. Opt. 38(1) 208-218 (1999)

Statistics of Color-Matching Data*

W. R. J. Brown
J. Opt. Soc. Am. 42(4) 252-256 (1952)

New Color-Matching Ellipses

Günter Wyszecki and G. H. Fielder
J. Opt. Soc. Am. 61(9) 1135-1152 (1971)

Chromatic Adaptation*

D. L. MacAdam
J. Opt. Soc. Am. 46(7) 500-513 (1956)