title: Measurement of the relationship between perceived and computed color differences.
abstract: Using simulated data sets, we have analyzed some mathematical properties of different statistical measurements that have been employed in previous literature to test the performance of different color-difference formulas. Specifically, the properties of the combined index PF/3 (performance factor obtained as average of three terms), widely employed in current literature, have been considered. A new index named standardized residual sum of squares (STRESS), employed in multidimensional scaling techniques, is recommended. The main difference between PF/3 and STRESS is that the latter is simpler and allows inferences on the statistical significance of two color-difference formulas with respect to a given set of visual data.
authors.affiliation: Departamento de Estadística e Investigación Operativa, Facultad de Ciencias, Universidad de Granada, Spain.
authors.forename: Pedro A
authors.initials: PA
authors.lastname: García
authors.forename: Rafael
authors.initials: R
authors.lastname: Huertas
authors.forename: Manuel
authors.initials: M
authors.lastname: Melgosa
authors.forename: Guihua
authors.initials: G
authors.lastname: Cui
mesh_terms: D003116:Color; D003118:Color Perception / Q000502:physiology*; D003124:Colorimetry / Q000379:methods*; D006801:Humans; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D013223:Statistics as Topic