Four general approaches to the transformation problem in exploratory factor analysis are reviewed, with primary attention given to xerxes (hyperplanefitting) methods. The Kaiser-Cerny (KC) Rule for dichotomizing row-normalized normal varimax loadings, for a given factor, into near-zero and non-near-zero elements is described at some length. The Method Horst-Hilsch (HH) xerxes procedure is explored in detail. Some numerical examples and concluding remarks are appended.
HakstianA. R.Optimizing the resolution between salient and non-salient factor pattern coefficients. British Journal of Mathematical and Statistical Psychology, 1972, 25, 229–245.
3.
HarrisC. W.KaiserH. F.Oblique factor analytic solutions by orthogonal transformations. Psychometrika, 1964, 29, 347–362. Hendrickson, A. E., & White, P. O. Promax: A quick method for rotation to oblique simple structure. British Journal of Statistical Psychology, 1964, 17, 65–70.
4.
HorstP.A non-graphical method for transforming an arbitrary factor matrix into a simple structure factor matrix. Psychometrika, 1941, 6, 79–99.
5.
JöreskogK. G.Testing a simple structure hypothesis in factor analysis. Psychometrika, 1966, 31, 165–178.
6.
KaiserH. F.A second generation Little Jiffy. Psychometrika, 1970, 35, 401–415.
7.
KaiserH. F.CernyB. A.Casey's method for fitting hyperplanes from an intermediate orthomax solution. Multivariate Behavioral Research, 1978, 13, 395–401.
8.
KaiserH. F.DickmanK. W.Analytic determination of common factors. American Psychologist, 1959, 14, 425.
9.
KaiserH. F.DickmanK. W.Some properties of binormamin. Psychometrika, 1977, 42, 307–309.
10.
KendallM. G.StuartA. S.The advanced theory of statistics. (3rd ed.) Vol. 1. New York: Hafner, 1969.
11.
LawleyD. N.MaxwellA. E.Factor transformation methods. British Journal of Statistical Psychology, 1964, 17, 97–103.
12.
McDonaldR. P.Ghartey-TagoeA. F.Oblique transformations based on Ledermann's condition. (Unpublished manuscript, The Ontario Institute for Studies in Education, 1973).
13.
ThurstoneL. L.Primary mental abilities. Psychometric Monographs, No. 1. Chicago, IL: Univer. of Chicago Press, 1938.
14.
TuckerL. R.A rotational method based upon the mean principal axis of a subgroup of tests. Psychological Bulletin, 1940, 37, 578.
