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Recommended Statistics References for Factor
Analysis
ResearchConsultation.com
Akaike, H. (1973),
"Information Theory and the Extension of the Maximum Likelihood Principle," in
Second International Symposium on Information Theory, eds. V.N. Petrov
and F. Csaki, Budapest: Akailseoniai-Kiudo, 267 -281.
Akaike, H. (1974), "A New Look
at the Statistical Identification Model," IEEE Transactions on Automatic
Control, 19, 716 -723.
Akaike, H. (1987), "Factor
Analysis and AIC," Psychometrika 52, 317 -332.
Alwin, D. F., & Jackson, D. J.
(1979). Applications of simultaneous factor analysis to issues of factorial
invariance. In D. J. Jackson (Ed.), Factor analysis and measurement in
sociological research (pp. 249-279). London: Sage.
Alwin, D. F., & Jackson, D. J.
(1980). Measurement models for response errors in surveys: Issues and
applications. In K. F. Schuessler (Ed.), Sociological methodology, 1980
(pp.68-119). San Francisco: Jossey-Bass.
Amick, D. J., & Walberg, H. J.
(1975). Introductory multivariate analysis for educational,
psychological and social research. Chicago: University of Illinois at
Chicago Press.
Anderson, J. C., & Gerbing, A.
W. (1984). The effect of sampling error on convergence, improper solutions, and
goodness-of-fit indices for maximum-likelihood confirmatory factor analysis,
Psychometrika, 49, 155-173.
Bagozzi, R. P., 7 Yi, Y.
(1988). On the evaluation of structural equation models. Journal of the
Academy of Marketing Science, 16, 74-94.
Bentler, P. M. (1990).
Comparative fit indexes in structural models. Psychological Bulletin,
107, 238-246.
Bentler, P. M. 91989). EQS
structural equations program manual. Los Angeles: BMDP Statistical
Software.
Bentler, P. M., & Bonett, D.
G. (1980). Significance tests and goodness of fit in the analysis of covariance
structures. Psychological Bulletin, 88, 588-606.
Bickel, P.J. and Doksum, K.A.
(1977), Mathematical Statistics, San Francisco: Holden-Day.
Blyth, C. R. (1972). On
Simpson’s paradox and the sure-thing principle. Journal of the American
Statistical Association, 67, 364-366.
Bollen, K. A. (1989).
Structural equations with latent variables. New York: Wiley.
Bradburn, N. M., (1969).
The Structure of psychological well-being. Chicago: Aldine.
Browne, M. W. (1984).
Asymptotically distribution-free methods for the analysis of variance
structures. British Journal of Mathematical and Statistical Psychology,
37, 62-83.
Bryant, F. B. (1989). A
four-factor model of perceived control: Avoiding, coping, obtaining, and
savoring. Journal of Personality, 57, 773-797.
Bryant, F. B., & Veroff, J.
(1982). The structure of psychological well-being: A sociohistorical analysis.
Journal of Personality and Social Psychology, 43, 653-673.
Bryant, F. B., & Veroff, J.
(1984). Dimensions of subjective mental health in American men and women.
Journal of Health and Social Behavior, 25, 116-135.
Bryant, F. B., & Yarnold, P.
R. (1989). A measurement model for the short form of the Student Jenkins
Activity Survey. Journal of Personality Assessment, 53, 188-191.
Campbell, A. (1980). The sense
of well-being in America. New York: McGraw-Hill.
Cattell, R. (1966). The
meaning and strategic use of factor analysis. In R. B. Cattell (Ed.).
Handbook of multivariate experimental psychology (pp. 174-243). Chicago:
Rand McNally.
Cattell, R. B. The three basic
factor-analytic research designs-their interrelations and derivatives.
Psychol. Bull., 1952, 49, 499-520.
Cattell, R.B. (1966), "The
Scree Test for the Number of Factors," Multivariate Behavioral Research,
1, 245 -276.
Cattell, R.B. (1978), The
Scientific Use of Factor Analysis, New York: Plenum.
Cattell, R.B. and Vogelman, S.
(1977), "A Comprehensive Trial of the Scree and KG Criteria for Determining the
Number of Factors," Multivariate Behavioral Research, 12, 289 -325.
Cerny, B.A. and Kaiser, H.F.
(1977), "A Study of a Measure of Sampling Adequacy for Factor-Analytic
Correlation Matrices," Multivariate Behavioral Research, 12, 43 -47.
Cooley, W.W. and Lohnes, P.R.
(1971), Multivariate Data Analysis, New York: John Wiley & Sons, Inc.
Cunningham, W. R. (1978).
Principles for the identification of structural differences. Journal of
Gerontology, 33, 82-86.
Cureton, E.E. (1968), A
Factor Analysis of Project TALENT Tests and Four Other Test Batteries,
(Interim Report 4 to the U.S. Office of Education, Cooperative Research Project
No. 3051.) Palo Alto: Project TALENT Office, American Institutes for Research
and University of Pittsburgh.
Cureton, E.E. and Mulaik, S.A.
(1975), "The Weighted Varimax Rotation and the Promax Rotation,"
Psychometrika, 40, 183 -195.
Dillion, W. R., & Goldstein,
M. (1984). Multivariate analysis: Methods and applications. Berkley:
University of California Press.
Dunteman, G. H. (1989).
Principal components analysis. Newbury Park, CA:Sage.
Dziuban, C.D. and Harris, C.W.
(1973), "On the Extraction of Components and the Applicability of the Factor
Model," American Educational Research Journal, 10, 93 -99.
Factor Models When Sample Size
Is Small," Journal of the American Statistical Association, 75, 133 -137.
Fruchter, B. (1954).
Introduction to factor analysis. New York: Van Nostrand.
Fruchter, B. Introduction
to factor analysis. Princeton, NJ: Van Nostrand, 1954.
Fuller (1987), Measurement
Error Models, New York: John Wiley & Sons, Inc.
Geweke, J.F. and Singleton,
K.J. (1980), "Interpreting the Likelihood Ratio Statistic in
Glass, D. C.(1977).
Behavior patterns, stress, and coronary disease. Hillsdale, NJ: Erlbaum.
Gnanadesikan, R. (1977),
Methods for Statistical Data Analysis of Multivariate Observations, New
York: John Wiley & Sons, Inc.
Gorsuch, R.L. (1974),
Factor Analysis, Philadelphia: W.B. Saunders Co.
Gorusch, R. L. (1983).
Factor analysis. Hillsdale, NJ: Erlbaum
Green, P. E. (1978). Analyzing
multivariate data. Hinsdale, IL: Dryden Press.
Guadagnoli, E., & Velicer, W.
F. (1988). Relation of sample size to the stability of component patterns.
Psychological Bulletin, 103, 265-275.
Hair, J. F., Anderson, R. E.
Tatham, R. L., & Black, W. C. (1992). Multivariate data analysis with readings
(3rd ed.) New York: Macmillan.
Harman H. H. (1976). Modern
factor analysis. Chicago: University of Chicago Press.
Harman, H. H. Modern factor
analysis. Chicago: Univer. Chicago Press, 1960.
Harman, H. H. Modern factor
analysis. Chicago: Univer. Chicago Press, 1960.
Harman, H.H. (1976), Modern
Factor Analysis, Third Edition, Chicago: University of Chicago Press.
Harris, C.W. (1962), "Some
Rao-Guttman Relationships," Psychometrika, 27, 247 -263.
Hayduk, L. A. (1987).
Structural equation modeling with LISREL. Baltimore: Johns Hopkins
University Press.
Hoelter, J. W. (1983). The
analysis of covariance structures: Goodness of fit indices. Sociological
Methods and Research, 11, 325-344.
Horn, J.L. and Engstrom, R.
(1979), "Cattell's Scree Test in Relation to Bartlett's Chi-Square Test and
Other Observations on the Number of Factors Problem," Multivariate Behavioral
Research, 14, 283 -300.
Horst, P. Factor analysis
of data matrices. New York: Holt, 1965.
Horst, P. Factor analysis of
data matrices. New York: Holt, 1965.
Hotelling, H. (1933),
"Analysis of a Complex of Statistical Variables into Principal Components,"
Journal of Educational Psychology, 24, 417 -441, 498 -520.
Hotelling, H. 91933). Analysis
of a complex of statistical variables into principal components. Journal of
Educational Psychological, 24, 417-441, 498-520.
Hu, L., Bentler, P. M., &
Kano, Y. (1992). Can test statistics in covariance structure analysis be
trusted? Psychological Bulletin, 112, 351-362.
Jolliffe, I. T. (1986).
Principal component analysis. New York: Springer-Verlag.
Joreskog, K. G. (1969). A
general approach to a confirmatory maximum likelihood factor analysis.
Psychometrika, 34, 183-202.
Joreskog, K. G. (1971a).
Simultaneous factor analysis in several populations. Psychometrika, 36,
409-426.
Joreskog, K. G. (1971b).
Statistical analysis of sets of congeneric tests. Psychometrika, 36,
109-133.
Joreskog, K. G. (1978).
Structural analysis of covariance and correlation matrices. Psychometrika,
43, 443-477.
Joreskog, K. G., & Sorbom,
D.G. (1989). LISREL 7 user’s reference guide. Chicago: Scientific
Software.
Joreskog, K.G. (1962), "On the
Statistical Treatment of Residuals in Factor Analysis," Psychometrika,
27, 335 -354.
Joreskog, K.G. (1977), "Factor
Analysis by Least-Squares and Maximum Likelihood Methods," in Statistical
Methods for Digital Computers, eds. K. Enslein, A. Ralston, and H.S. Wilf,
New York: John Wiley & Sons, Inc.
Kaiser, H. F. (1960). The
application of electronic computers to factor analysis. Educational and
Psychological Measurement, 20, 141-151.
Kaiser, H.F. (1963), "Image
Analysis," in Problems in Measuring Change, ed. C.W. Harris, Madison, WI:
University of Wisconsin Press.
Kaiser, H.F. (1970), "A Second
Generation Little Jiffy," Psychometrika, 35, 401 -415.
Kaiser, H.F. and Cerny, B.A.
(1979), "Factor Analysis of the Image Correlation Matrix," Educational and
Psychological Measurement, 39, 711 -714.
Kaiser, H.F. and Rice, J.
(1974), "Little Jiffy, Mark IV," Educational and Psychological Measurement,
34, 111 -117.
Kerlinger, F.N. and Pedhazur,
E.J. (1973), Multiple Regression in Behavioral Research, New York: Holt,
Rinehart & Winston, Inc.
Kim, J.O. and Mueller, C.W.
(1978a), Introduction to Factor Analysis: What It Is and How To Do It,
Sage University Paper Series on Quantitative Applications in the Social
Sciences, series no. 07-013, Beverly Hills: Sage Publications.
Kim, J.O. and Mueller, C.W.
(1978b), Factor Analysis: Statistical Methods and Practical Issues, Sage
University Paper Series on Quantitative Applications in the Social Sciences,
series no. 07-014, Beverly Hills: Sage Publications.
Kleinbaum, D. G., Kupper, L.
L. & Muller, K. E.(1988). Applied regression analysis and other multivariable
methods (2nd ed.). Boston: PWS-Kent.
Kshirsagar, A.M. (1972),
Multivariate Analysis, New York: Marcel Dekker, Inc.
La Du, T. J., & Tanaka, J. S.
(1989). Influence of sample size, estimation method, and model specification on
goodness-of-fit assessment in structural equation models. Journal of Applied
Psychology, 74, 625-635.
Larsen, R. J. (1984). Theory
and measurement of affect intensity as an individual difference characteristic.
Dissertation Abstracts International, 85, 2297B. (University Microfilms
No. 84-22112).
Lawley, D. N., & Maxwell, A.
E. (1971). Factor analysis as a statistical method. New York: Elsevier Science.
Lawley, D.N. and Maxwell, A.E.
(1971), Factor Analysis as a Statistical Method, New York: Macmillan
Publishing Co., Inc.
Lee, H.B. and Comrey, A.L.
(1979), "Distortions in a Commonly Used Factor Analytic Procedure,"
Multivariate Behavioral Research, 14, 301 -321.
Long, J. S. (1983).
Confirmatory factor analysis. Beverly Hills, CA: Sage.
Maiti, S. S. & Mukherjee, B.
N. (1991). Two new goodness-of-fit indices for covariance matrices with linear
structures. British Journal of Mathematical and Statistical Psychological, 44,
153-180.
Mardia, K.V., Kent, J.T., and
Bibby, J.M. (1979), Multivariate Analysis, London: Academic Press.
Mardia, K.V., Kent, J.T., and
Bibby, J.M. (1979), Multivariate Analysis, London: Academic Press.
Marsh, H. W., Balla, J. R., &
McDonald, R. P. (1988). Goodness-of-fit indexes in confirmatory factor analysis:
The effect of sample size. Psychological Bulletin, 103, 391-410.
Maxwell, A. E. Statistical
methods on factor analysis. Psychol. Bull., 1959, 56, 228-235.
McDonald, R.P. (1975), "A Note
on Rippe's Test of Significance in Common Factor Analysis," Psychometrika,
40, 117 -119.
McDonald, R.P. (1985),
Factor Analysis and Related Methods, New Jersey: Lawrence Erlbaum
Associates, Publishers.
McKennell, A. C., & Andrews,
F. M. (1980). Measures of cognition and affect in perceptions of well-being.
Social Indicators Research, 8, 257-298.
Moore, M. K., & Neimeyer, R.
A. (1991). A confirmatory factor analysis of the Threat Index. Journal of
Personality and Social Psychology, 60, 122-129.
Morrison, D. F. (1976).
Multivariate statistical methods (2nd ed.). New York: McGraw-Hill.
Morrison, D.F. (1976),
Multivariate Statistical Methods, Second Edition, New York: McGraw-Hill Book
Co.
Morrison, D.F. (1976),
Multivariate Statistical Methods, Second Edition, New York: McGraw-Hill Book
Co.
Mulaik, S. A., James, L. R.
Van Alstine, J., Bennett, N., Lind, S., & Stilwell, C. D. (1989). Evaluation of
goodness-of-fit indices for structural equation models. Psychological
Bulletin, 105, 430-445.
Mulaik, S.A. (1972), The
Foundations of Factor Analysis, New York: McGraw-Hill Book Co.
Muthen, b. O. (1993). Goodness
of fit with categorical and other nonnormal variables. In K. A. Bollen & J. S>
Long (Eds.), Testing structural equation models (pp.205-234). London: Sage.
Pearson, K. (1901), "On Lines
and Planes of Closest Fit to Systems of Points in Space," Philosophical
Magazine, 6(2), 559 -572.
Pearson, K. (1901). On lines
and planes of closest fit to systems of points in space. Philosophical
Magazine, May2, 559-572.
Popper, K. R. (1968). The
logic of scientific discovery. New York: Harper Torchbooks.
Rao, C.R. (1955), "Estimation
and Tests of Significance in Factor Analysis," Psychometrika, 20, 93
-111.
Rao, C.R. (1964), "The Use and
Interpretation of Principal Component Analysis in Applied Research," Sankhya
A, 26, 329 -358.
Schwarz, G. (1978),
"Estimating the Dimension of a Model," Annals of Statistics, 6, 461 -464.
Sorbom, D. G., & Joreskog, K.
G. (1976). COFAMM: Confirmatory factor analysis with model modification, a
FORTRAN IV program. Chicago: National Educational Resources.
Spearman, C. (1904), "General
Intelligence Objectively Determined and Measured," American Journal of
Psychology, 15, 201 -293.
Steiger, J. H. (1979). Factor
indeterminancy in the 1930’s and the 1970’s.: Some interesting parallels.
Psychometrika, 44, 157-167.
Stevens, J. P. (1986). Applied
multivariate statistics for the social sciences. Hillsdale, NJ: Erlbaum.
Stewart, D.W. (1981), "The
Application and Misapplication of Factor Analysis in Marketing Research,"
Journal of Marketing Research, 18, 51 -62.
Tabachnick, B. G., & Fidell,
L. S. (1983). Using multivariate statistics. New York: Harper & Row.
Tanaka, J. S. (1993).
Multifaceted conception of fit in structural equation models. In K. A. Bollen &
J. S. Long (Eds.), Testing structural equation models (pp. 10-39).
London: Sage.
Thurstone, L. L. (1947).
Multiple-factor analysis: A development and expansion of the vectors of
mind. Chicago: University of Chicago Press.
Thurstone, L.
Multiple-factor analysis. Chicago: Univer. Chicago Press, 1947.
Tucker, L. R., & Lewis, C.
(1973). A reliability coefficient for maximum likelihood factor analysis.
Psychometrika, 38, 1-10.
Tucker, L.R. and Lewis, C.
(1973), "A Reliability Coefficient for Maximum Likelihood Factor Analysis,"
Psychometrika, 38, 1 -10.
Weinfurt, K. P., Bryant, F.
B., & Yarnold, P. R. (1994). The factor structure of the Affect Intensity
Measure: In search of a measurement model. Journal of Research in Personality.
28, 314-331.
Yarnold, P. R. (1984). Note on
the multidisciplinary scope of psychological androgyny theory. Psychological
Reports, 55, 936-938.
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