Extracting the Correct Number of Factors in Factor Analysis

Albert, A. A. "The Minimum Rank of a Correlation Matrix." Proceedings of the National Academy of Science, XXX (1944), 144-148.

Bargmann, R. "A Comparison of New Analytical Methods for the Determination of Simple Structure." Hochschule fur Internationale Padagogische Forschung, Forschungsbericht. (September, 1953).

Bargmann, R. "Signifikanzuntersuchungen der Einfachen Struktur in der Faktoren-analyse." Sonderdruck. Mit. d. Math. Stat., Physica-Verlag, Wurzburg, 1954.

Bartlett, M. S. "Tests of Significance in Factor Analysis." British Journal of Psychology, Statistical Section, III (1950 ), 77-85.

Burt, C. L. "Tests of Significance in Factor Analysis." British Journal of Psychology, Statistical Section, V (1952), 109-133.

Cattell, R. B. Factor Analysis. New York : Harper & Brothers, 1952.

Cattell, R. B. "Second Order Personality Factors in the Questionnaire Realm." Journal of Consulting Psychology, XX (1956 ), 411-418.

Cattell, R. B. Personality and Motivation Structure and Measurement. New York: World Book Company, 1957.

Cattell, R. B. , and Baggaley, A. R. "The Salient Variable Similarity Index—S—for Factor Matching." Adv. Publ. No. 4, 1954. Laboratory of Personality Assessment, University of Illinois, Urbana.

Cattell, R. B. , and Cattell, A. K. S. "Factor Rotation for Proportional Profiles: An Analytical Solution and an Example." British Journal of Psychology, Statistical Section, VIII (1955), 83-93.

Cattell, R. B. , and Coan, R. W. "Personality Factors in Middle Childhood as Revealed in Parents' Ratings." Child Development , XXVIII (1957), 439-458.

Cattell, R. B. , and Dickman, K. "Simple Structure: Proof of Immanence in Natural Data, Absence from Random Matrices and Correspondence to Real Entities." (In preparation).

Cattell, R. B. , and Dickman, K. "Error Factors: A Study of their Properties and their Distinction from Real Factors." (In preparation).

Cattell, R. B. , and Gruen, W. F. "The Personality Factor Structure of 11 year old Children in Terms of Behavior Rating Data." Journal of Clinical Psychology, IX ( 1953), 256-266.

Cattell, R. B. , and Radcliffe, J. "Reliabilities and Validities of Simple and Extended Weighted and Buffered Unifactor Scales." Psychometrika, in press.

Cattell, R. B. and Scheier, I. H. "The Nature and Measurement of Neuroticism and Anxiety." (In Press).

Coombs, C. H. "Criterion for Significant Common Factor Variance." Psychometrika, VI (1941), 267-272.

Dickman, K. Distortion of Factors from Rated Compared with Objectively Measured Variables. Unpublished Ed.D. thesis, University of Illinois, 1959.

Eysenck, H. J. The Structure of Human Personality. London: Methuen , 1953.

Guilford, J. P. , and Lacey, J. I. Printed classification tests. Army Air Force Aviation Psychology Research Program. Report No. 5. Washington, D. C.: U. S. Govt. Printing Office, 1947.

Guttman, L. "Some Necessary Conditions for Common-Factor Analysis." Psychometrika, XIX (1954), 149-161.

Guttman, L. "Communalities that Maximize Determinacy." University of California Contract No. AF41 (657)-76, Report No. 16, May, 1957.

Guttman, L. "Improved Bounds for Communalities." University of California Contract No. AF (657)-76, Report No. 6, 1957.

Henrysson, S. "The Significance of Factor Loadings." British Journal of Psychology, Statistical Section, III (1950), 159-165.

Hoel, P. G. "A Significance Test for Minimum Rank in Factor Analysis." Psychometrika , IV (1939), 245-254.

Horst, P. "A Non-Graphical Method for Transforming an Arbitrary Factor Matrix into a Simple Structure Factor Matrix." Psychometrika, VI (1941), 79.

Kaiser, H. F. "Communalities in Factor Analysis: A Review." University of California Contract No. AF (657)-76. Report No. i o, December, 1956 .

Kaiser, H. F. "Further Numerical Investigation of the TryonKaiser Solution for the Communalities ." University of California Contract No. AF41 (657)-76, Report No. 14, May, 1957.

Kaiser, H. F. "IBM 701 Program for Image Analysis ." University of California Contract No. AF41 (657)-76, Report No. 2, July, 1957.

Kendall, M. G. "Review of the Uppsala Symposium." Journal of the Royal Statistical Society (Series B), XVI (1954), 482-484.

Lawley, D. N. "The Estimation of Factor Loadings by the Method of Maximum Likelihood." Proceedings of the Royal Society of Edinburgh, LX (1940), 64-82.

Lederman, W. "On the Rank of the Reduced Correlation Matrix in Multiple Factor Analyses." Psychometrika, II ( 1937), 85-93.

McNemar, Q. "On the Sampling Errors of Factor Loadings." Psychometrika, VI (1941), 141-152.

Mosier, C. F. "Influence of Chance Error on Simple Structure." Psychometrika, IV (1939), 33-44.

Rao, C. R. "Estimation and Tests of Significance in Factor Analysis." Psychometrika , XX (1955), 93-111.

Rosner, B. "An Algebraic Solution for the Communalities." Psychometrika, XIII (1948), 181-184.

Saunders, D. R. "Factor Analysis I : Some Effects of Chance Error." Psychometrika , XIII (1948), 251-257.

Saunders, D. R. "Factor Analysis II : A Note Concerning Rotation of Axes to Simple Structure." EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, IX (1949), 753-756.

Thurstone, L. L. "Primary Mental Abilities." Psychometrika Monograph ( 1938), No. 1.

Thurstone, L. L. Multiple Factor Analysis. Chicago: University of Chicago Press, 1947.

Tryon, R. C. "Communality of a Variable: Formulation by Cluster Analysis." Psychometrika , in press.

Tryon, R. C. "Domain Sampling Formulation of Cluster and Factor Analysis." University of California Contract No. AF41 (657)-76, Report No. 18, 1957.

Tucker, L. R. "A Semi-Analytical Method of Factorial Rotation to Simple Structure." Psychometrika , IX (1944), 43-68.

Vernon, P. E. , and Parry, J. B. Personnel Selection in the British Forces. London: University of London Press, 1949.

Wenger, M. A. "Preliminary Study of the Significance of Measures of Autonomic Balance." Psychosomatic Medicine, IX (1947 ), 301-309.

Whittle, P. "On Principal Components and Least Square Methods of Factor Analysis." Skandinavick Aktuarietedskrift, 1952, 223-239.

Wold, H. "Random Normal Deviates ." Tracts for Computers, 25. Cambridge: University Press , 1948 .

Wrigley, C. F. "An Empirical Comparison of Various Methods for Estimating Communalities." EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, in press.

Wrigley, C. F. "The Effect Upon the Communalities of Changing the Estimate of the Number of Factors." University of California Contract No. AF (657)-76. Report No. 13, 1957.

Young, G. "Factor Analysis and the Index of Clustering." Psychometrika, IV (1939), 201-208.