Recommended Statistics References for Canonical Correlation

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Akaike, H. (1987), "Factor Analysis and AIC," Psychometrika, 52, 317 -332.

 

Barcikowski, R., and J. P. Stevens(1975). A Monte Carlo study of the stability of canonical correlations, canonical weights, and canonical variate-variable correlations. Multivariate Behavioral Research, 10, 353-364.

 

Bentler, P.M. amd Bonett, D.G. (1980), "Significance Tests and Goodness of Fit in the Analysis of Covariance Structures," Psychological Bulletin, 88, 588 -606.

 

Bollen, K.A. (1986), "Sample Size and Bentler and Bonett's Nonnormed Fit Index," Psychometrika, 51, 375 -377.

 

Bollen, K.A. (1989), Structural Equations with Latent Variables, New York: John Wiley & Sons, Inc.

 

Boomsma, A. (1983), On the Robustness of LISREL (Maximum Likelihood Estimation) against Small Sample Size and Nonnormality, Amsterdam: Sociometric Research Foundation.

 

Duncan, O.D., Haller, A.O., and Portes, A. (1968), "Peer Influences on Aspirations: A Reinterpretation," American Journal of Sociology, 74, 119 -137.

 

Dunteman, George H. (1989). Principal components analysis. Thousand Oaks, CA: Sage Publications, Quantitative Applications in the Social Sciences Series, 69, 80-87.

 

Fuller, W.A. (1987), Measurement Error Models, New York: John Wiley & Sons, Inc.

 

Gifi, A. (1990), Non-linear Multivariate Analysis. Chichester, UK: Wiley & Sons (Chapter 6).

 

Green, P. E., M. H. Halbert, and P. J. Robinson (1966). Canonical analysis: An exposition and illustrative application. Journal of Marketing Research, 3, (Feb.): 32-39.

 

Haller, A.O., and Butterworth, C.E. (1960), "Peer Influences on Levels of Occupational and Educational Aspiration," Social Forces, 38, 289 -295.

 

Hampel F.R., Ronchetti E.M., Rousseeuw P.J. and Stahel W.A. (1986), Robust Statistics, New York: John Wiley & Sons, Inc.

 

Hoelter, J.W. (1983), "The Analysis of Covariance Structures: Goodness-of-Fit Indices," Sociological Methods and Research, 11, 325 -344.

 

Hotelling, H. (1935). The most predictable criterion. Journal of Educational Psychology, 26, 139-142.

 

Huber, P.J. (1981), Robust Statistics, New York: John Wiley & Sons, Inc.

 

James, L.R., Mulaik, S.A., and Brett, J.M. (1982), Causal Analysis, Beverly Hills: Sage Publications.

 

Joreskog, K.G. (1973), "A General Method for Estimating a Linear Structural Equation System," in Goldberger, A.S. and Duncan, O.D., eds., Structural Equation Models in the Social Sciences, New York: Academic Press.

 

Joreskog, K.G. and Sorbom, D. (1979), Advances in Factor Analysis and Structural Equation Models, Cambridge, MA: Abt Books.

 

Keesling, J.W. (1972), "Maximum Likelihood Approaches to Causal Analysis," Ph.D. dissertation, Chicago: University of Chicago.

 

Lee. S.Y. (1985), "Analysis of Covariance and Correlation Structures," Computational Statistics and Data Analysis, 2, 279 -295.

 

Levine, Mark S. (1977). Canonical analysis and factor comparison. Thousand Oaks, CA: Sage Publications, Quantitative Applications in the Social Sciences Series, No. 6.

 

Loehlin, J.C. (1987), Latent Variable Models, Hillsdale, NJ: Lawrence Erlbaum Associates.

 

Lord, F.M. (1957), "A Significance Test for the Hypothesis that Two Variables Measure the Same Trait Except for Errors of Measurement," Psychometrika, 22, 207 -220.

 

McArdle, J.J. and McDonald, R.P. (1984), "Some Algebraic Properties of the Reticular Action Model," British Journal of Mathematical and Statistical Psychology, 37, 234 -251.

 

McDonald, R.P. (1989), "An Index of Goodness-of-Fit Based on Noncentrality," Journal of Classification, 6, 97 -103.

 

Schwarz, G. (1978), "Estimating the Dimension of a Model," Annals of Statistics, 6, 461 -464.

 

Tabachnick, Barbara G. and Linda S. Fidell (1996) Using multivariate statistics, Third edition. NY: Harpercollins College Publishers.  (Chapter 6)

 

Thompson, Bruce (1984). Canonical correlation analysis: Uses and interpretation. Thousand Oaks, CA: Sage Publications, Quantitative Applications in the Social Sciences Series, No. 47.

 

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