The PRINQUAL Procedure

Carroll, J. D. (1972), “Individual Differences and Multidimensional Scaling,” in R. N. Shepard, A. K. Romney, and S. B. Nerlove, eds., Multidimensional Scaling: Theory and Applications in the Behavioral Sciences (Volume 1), New York: Seminar Press.

de Boor, C. (1978), A Practical Guide to Splines, New York: Springer Verlag.

de Leeuw, J. (1985), personal communication, Leiden.

de Leeuw, J. (1986), Regression with Optimal Scaling of the Dependent Variable, Leiden: Department of Data Theory, University of Leiden.

Eckart, C. and Young, G. (1936), “The Approximation of One Matrix by Another of Lower Rank,” Psychometrika, 1, 211–218.

Fisher, R. A. (1938), Statistical Methods for Research Workers, Tenth Edition, Edinburgh: Oliver & Boyd.

Gabriel, K. R. (1981), “Biplot Display of Multivariate Matrices for Inspection of Data and Diagnosis,” in V. Barnett, ed., Interpreting Multivariate Data, London: John Wiley & Sons.

Gifi, A. (1990), Nonlinear Multivariate Analysis, New York: John Wiley & Sons.

Goodnight, J. H. (1978), The SWEEP Operator: Its Importance in Statistical Computing, Technical Report R-106, SAS Institute Inc, Cary, NC.

Hotelling, H. (1933), “Analysis of a Complex of Statistical Variables into Principal Components,” Journal of Educational Psychology, 24, 417–441, 498–520.

Kruskal, J. B. (1964), “Nonmetric Multidimensional Scaling by Optimizing Goodness of Fit to a Nonmetric Hypothesis,” Psychometrika, 29, 1–27.

Kruskal, J. B. and Shepard, R. N. (1974), “A Nonmetric Variety of Linear Factor Analysis,” Psychometrika, 38, 123–157.

Sarle, W. S. (1984), personal communication, Cary, NC.

Siegel, S. (1956), Nonparametric Statistics, New York: McGraw-Hill.

Smith, P. L. (1979), “Splines as a Useful and Convenient Statistical Tool,” The American Statistician, 33, 57–62.

Tenenhaus, M. and Vachette, J. L. (1977), “PRINQUAL: Un Programme d’Analyse en Composantes Principales d’un Ensemble de Variables Nominales ou Numeriques,” Les Cahiers de Recherche, 68, CESA, Jout-en-Josas, France.

van Rijckevorsel, J. (1982), “Canonical Analysis with B-Splines,” in H. Caussinus, P. Ettinger, and R. Tomassone, eds., COMPUSTAT 1982, Part I, Vienna: Physica Verlag.

Winsberg, S. and Ramsay, J. O. (1983), “Monotone Spline Transformations for Dimension Reduction,” Psychometrika, 48, 575–595.

Young, F. W. (1981), “Quantitative Analysis of Qualitative Data,” Psychometrika, 46, 357–388.

Young, F. W., Takane, Y., and de Leeuw, J. (1978), “The Principal Components of Mixed Measurement Level Multivariate Data: An Alternating Least Squares Method with Optimal Scaling Features,” Psychometrika, 43, 279–281.