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Peer reviewedWilliams, James S. – Psychometrika, 1978
A rigorous definition for a factor analysis model and a complete solution of the factor score indeterminacy problem are presented in this technical paper. The meaning and application of these results are discussed. (Author/JKS)
Descriptors: Data Analysis, Factor Analysis, Mathematical Models, Matrices
Peer reviewedGorman, Bernard S.; Primavera, Louis H. – Journal of Experimental Education, 1983
Factor and cluster analyses are distinctly different multivariate procedures with different goals. However, when used in a complementary fashion, each set of methods can be used to enhance the interpretation of results found in the other set of methods. Simple examples illustrating the joint use of the methods are provided. (Author)
Descriptors: Cluster Analysis, Correlation, Data Analysis, Factor Analysis
Peer reviewedMulaik, Stanley A.; McDonald, Roderick P. – Psychometrika, 1978
Solutions for the indeterminate common factor of a group of variables satisfying the single common factor model are not unique. This paper examines a number of thereoms concerning that problem and draws conclusions from them for factor analysis in general. (Author/JKS)
Descriptors: Data Analysis, Factor Analysis, Mathematical Models, Matrices
Download full textArcher, Claud O.; Jennrich, Robert I. – 1973
Beginning with the results of Girschick on the asymptotic distribution of principal component loadings and those of Lawley on the distribution of unrotated maximum likelihood factor loadings, the asymptotic distributions of the corresponding analytically rotated loadings is obtained. The principal difficulty is the fact that the transformation…
Descriptors: Algorithms, Data Analysis, Factor Analysis, Matrices
Peer reviewedGower, J. C. – Psychometrika, 1975
Concerned with another form of analysis of m sets of matrices, the Procrustes idea is generalized so that all m sets are simultaneously translated, rotated, reflected and scaled so that a goodness of fit criterion is optimised. A computational technique is given, results of which can be summarized in analysis of variance form. (RC)
Descriptors: Analysis of Variance, Data Analysis, Factor Analysis, Goodness of Fit
Hofman, Richard J. – 1975
In this paper 12 blind transformation procedures are applied to 18 data sets. The results of the analyses indicate that the orthotran transformation solution is not restricted to particular types of data as are so many other transformation solutions. The evidence presented in this paper strongly suggests that the orthotran solution must be…
Descriptors: Data Analysis, Factor Analysis, Factor Structure, Matrices
Simon, Charles W. – 1975
An "undesigned" experiment is one in which the predictor variables are correlated, either due to a failure to complete a design or because the investigator was unable to select or control relevant experimental conditions. The traditional method of analyzing this class of experiment--multiple regression analysis based on a least squares…
Descriptors: Bias, Computer Programs, Correlation, Data Analysis
