Factor analysis by minimizing residuals (minres)

This paper is addressed to the classical problem of estimating factor loadings under the condition that the sum of squares of off-diagonal residuals be minimized. Communalities consistent with this criterion are produced as a by-product. The experimental work included several alternative algorithms before a highly efficient method was developed. The final procedure is illustrated with a numerical example. Some relationships of minres to principal-factor analysis and maximum-likelihood factor estimates are discussed, and several unresolved problems are pointed out.The authors wish to thank the Factor Analysis Work Group (supported, in part, by ONR) for valuable criticisms and suggestions made in the course of a discussion of the present work in April, 1965.     

Problems of Work Evaluation

In reviewing the history of the development of techniques of work evaluation, four different approaches are appraised: (1) the mental testing approach, (2) the job analysis approach, (3) the work-sample approach, and (4) the situational assessment approach. Each of these sets of methods is found to arise from somewhat different sectors of society, to serve differing interests, and to have differing objectives. After examination of the merits and limitations of each of the four approaches, the conclusion is drawn that “no one of these four methods can do everything; each deals with a restricted facet of a many-faceted problem.” Attention is called to the general need for validation through professional observation in unprotected industrial settings.     

Saturation of red: A prothetic continuum

A battery of procedures was used to scale the saturation of colors produced by mixtures of red and gray papers. By direct magnitude estimation, the apparent saturation was found to grow as the1.7 power of the percentage of red in the mixture. The power law was confirmed by the cross-modality matching of loudness to saturation. The inverse continuum, paleness, was also scaled. Saturation appears to be a prothetic continuum because the category scale is curved and the subjective size of the jnd increases as saturation increases.