《多元方法》引用了以下资料来源。
Agresti, A. (2013).Categorical Data Analysis.3rd ed. Hoboken, NJ: John Wiley & Sons.
Baglama, J., and Reichel, L. (2005).“Augmented implicitly restarted Lanczos bidiagonalization methods.”SIAM Journal on Scientific Computing 27:19–42.
Ballard, D. H. (1981).“Generalizing the Hough Transform to Detect Arbitrary Shapes.”Pattern Recognition 13:111–122.
Bartlett, M. S. (1937).“Properties of sufficiency and statistical tests.”Proceedings of the Royal Society of London, Series A 160:268–282.
Bartlett, M. S. (1954).“A Note on the Multiplying Factors for Various Chi Square Approximations.”Journal of the Royal Statistical Society, Series B 16:296–298.
Benzécri, J. P. (1979).“Sur le calcul des taux d’inertie dans l’analyse d’un questionnaire, addendum et erratum à [BIN.MULT.].”Cahiers de l’Analyse des Données 4:377–378.
Bentler, P. M. (1990).“Comparative Fit Indexes in Structural Models.”Psychological Bulletin 107:238.
Bentler, P. M., and Freeman, E. H. (1983).“Tests for Stability in Linear Structural Equation Systems.”Psychometrika 48:143–145.
Bernhardsson, E. (2013).“Approximate Nearest Neighbors in C++/Python optimized for memory usage and loading/saving to disk.” https://github.com/spotify/annoy
Bollen, K. A. (1989).Structural Equations with Latent Variables.New York: John Wiley & Sons.
Bollen, K. A., Harden, J. J., Ray, S., and Zavisca, J. (2014).“BIC and Alternative Bayesian Information Criteria in the Selection of Structural Equation Models.”Structural Equation Modeling 21:1–19.
Borg, I., and Groenen, P. J. F. (2005).Modern Multidimensional Scaling: Theory and Applications.2nd ed. New York: Springer.
Boulesteix, A.-L., and Strimmer, K. (2007).“Partial Least Squares: A Versatile Tool for the Analysis of High-Dimensional Genomic Data.”Briefings in Bioinformatics 8:32–44.
Browne, M. (2001).“An Overview of Analytic Rotation in Exploratory Factor Analysis.”Multivariate Behavioral Research 36:111–150.
Browne, M. W., and Cudeck, R. (1993).“Alternative Ways of Assessing Model Fit.”In Testing Structural Equation Models, edited by K. A. Bollen, and J. S. Long, 136–162.Newbury Park, CA: Sage Publications.
Chen, F. F. (2007).“Sensitivity of Goodness of Fit Indexes to Lack of Measurement Invariance.”Structural Equation Modeling 14:464–504.
Collins, L., and Lanza, S. (2010).Latent Class and Latent Transition Analysis.Hoboken NJ: John Wiley & Sons.
Cox, I., and Gaudard, M. (2013).Discovering Partial Least Squares with JMP.Cary, NC: SAS Institute Inc.
Cronbach, L. J. (1951).“Coefficient Alpha and the Internal Structure of Tests.”Psychometrika 16:297–334.
Cudeck, R., and MacCallum, R. C., eds.(2007).Factor Analysis at 100, Historical Developments and Future Directions.Mahwah, NJ: Lawrence Erlbaum Associates.
de Ayala, R. J. (2009).The Theory and Practice of Item Response Theory.New York: Guilford Press.
De Jong, S. (1993).“SIMPLS: An Alternative Approach to Partial Least Squares Regression.”Chemometrics and Intelligent Laboratory Systems 18:251–263.
Denham, M. C. (1997).“Prediction Intervals in Partial Least Squares.”Journal of Chemometrics 11:39–52.
Eriksson, L., Johansson, E., Kettaneh-Wold, N., Trygg, J., Wikstrom, C., and Wold, S. (2006).Multi- and Megavariate Data Analysis Basic Principles and Applications (Part I).Chapter 4.Umetrics.
Finkbeiner, C. (1979).“Estimation for the Multiple Factor Model when Data are Missing.”Psychometrika 44:409–420.
Fisher, L., and Van Ness, J. W. (1971).“Admissible Clustering Procedures.”Biometrika 58:91–104.
Florek, K., Lukaszewicz, J., Perkal, J., and Zubrzycki, S. (1951a).“Sur la liaison et la division des points d’un ensemble fini.”Colloquium Mathematicae 2:282–285.
Florek, K., Lukaszewicz, J., Perkal, J., and Zubrzycki, S. (1951b).“Taksonomia Wroclawska.”Przeglad Antropologiczny 17:193–211.
Frank, I. E., and Todeschini, T. (1994).The Data Analysis Handbook.New York: Elsevier.
Friedman, J. H. (1989).“Regularized Discriminant Analysis.”Journal of the American Statistical Association 84:165–175.
Garthwaite, P. (1994).“An Interpretation of Partial Least Squares.”Journal of the American Statistical Association 89:122–127.
Golub, G. H., and Kahan, W. (1965).“Calculating the singular values and pseudo-inverse of a matrix.”Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis 2:205–224.
Goodman, L. A. (1974).“Exploratory Latent Structure Analysis Using Both Identifiable and Unidentifiable Models.”Biometrika 61:215–231.
Greenacre, M. J. (1984).Theory and Applications of Correspondence Analysis.London: Academic Press.
Halko, N., Martinsson, P. G., & Tropp, J. A. (2011).“Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions.”SIAM Review 53:217–288.
Hancock, G. R., and Mueller, R. O. (2001).“Rethinking Construct Reliability within Latent Variable Systems.”In Structural Equation Modeling: Present and Future – A Festschrift in Honor of Karl Jöreskog, edited by R. Cudeck, S. du Toit, and D. Sörbom, 195–216.Lincolnwood, IL: Scientific Software International.
Hand, D., Mannila, H., and Smyth, P. (2001).Principles of Data Mining.Cambridge, MA: MIT Press.
Harris, C. W., and Kaiser, H. F. (1964).“Oblique Factor Analytic Solutions by Orthogonal Transformation.”Psychometrika 32:363–379.
Hartigan, J. A. (1981).“Consistency of Single Linkage for High–Density Clusters.”Journal of the American Statistical Association 76:388–394.
Hastie, T., Tibshirani, R., and Friedman, J. H.(2009).The Elements of Statistical Learning: Data Mining, Inference, and Prediction.2nd ed. New York: Springer Verlag.
Hinton, G. E., and Roweis, S. T. (2002).“Stochastic Neighbor Embedding.”Advances in Neural Information Processing Systems 15:833–840.
Hoskuldsson, A. (1988).“PLS Regression Methods.” Journal of Chemometrics 2:211–228.
Hoeffding, W. (1948).“A Non-Parametric Test of Independence.”Annals of Mathematical Statistics 19:546–557.
Hu, L.-T., and Bentler, P. M. (1999).“Cutoff Criteria for Fit Indices in Covariance Structure Analysis: Conventional Criteria versus New Alternatives.”Structural Equation Modeling 6:1–55.
Huber, P. J. (1964).“Robust Estimation of a Location Parameter.”Annals of Mathematical Statistics 35:73–101.
Huber, P. J. (1973).“Robust Regression: Asymptotics, Conjecture, and Monte Carlo.”Annals of Statistics 1:799–821.
Huber, P. J., and Ronchetti, E. M. (2009).Robust Statistics.2nd ed. Hoboken, NJ: John Wiley & Sons.
Jackson, J. E. (2003).A User’s Guide to Principal Components.Hoboken, NJ: John Wiley & Sons.
Jardine, N., and Sibson, R. (1971).Mathematical Taxonomy.New York: John Wiley & Sons.
Jöreskog, K. G. (1977).“Factor Analysis by Least-Squares and Maximum Likelihood Methods.”In Statistical Methods for Digital Computers, edited by K. Enslein, A. Ralston, and H. Wilf, 125 - 165.New York: John Wiley & Sons.
Kingma, D. P., and Ba, J. (2014).“Adam: A method for stochastic optimization.” arXiv preprint arXiv:1412.6980.
Kline, R. B. (2016).Principles and Practice of Structural Equation Methodology.4th ed. New York: The Guilford Press.
Kohonen, T. (1989).Self-Organization and Associative Memory.3rd ed. Vol. 8 of Springer Series in Information.Berlin: Springer-Verlag.
Kohonen, T. (1990).“The Self-Organizing Map.”Proceedings of the IEEE 78:1464–1480.
Lindberg, W., Persson, J.-A., and Wold, S. (1983).“Partial Least-Squares Method for Spectrofluorimetric Analysis of Mixtures of Humic Acid and Ligninsulfonate.”Analytical Chemistry 55:643–648.
LeRoux, B., and Rouanet, H. (2010).Multiple Correspondence Analysis.Vol.07–163 of Sage University Paper Series on Quantitative Applications in the Social Sciences.Thousand Oaks, CA: Sage Publications.
Maiti, S. S., and Mukherjee, B. N. (1991).“Two New Goodness-of-Fit Indices for Covariance Matrices with Linear Structures.”British Journal of Mathematical and Statistical Psychology 44:153–180.
Mardia, K., Kent, J., and Bibby, J. (1980).Multivariate Analysis.New York: Academic Press.
Mason, R. L., and Young, J. C. (2002).Multivariate Statistical Process Control with Industrial Applications.Philadelphia: SIAM.
May, J. P. (1992).Simplicial Objects in Algebraic Topology.Vol. 11.Chicago: University of Chicago Press.
Maydeu-Olivares, A., Shi, D., and Rosseel, Y. (2017).“Assessing Fit in Structural Equation Models: A Monte-Carlo Evaluation of RMSEA Versus SRMR Confidence Intervals and Tests of Close Fit.”Structural Equation Model: A Multidisciplinary Journal 25:389–402.
McDonald, R. P. (1999).Test Theory: A Unified Approach.Mahwah, NJ: Erlbaum.
McDonald, R. P., and Marsh, H. W. (1990).“Choosing a Multivariate Model: Noncentrality and Goodness of Fit.”Psychological Bulletin 107:247–255.
McInnes, L., Healy, J., and Melville, J. (2018).“UMAP: Uniform manifold approximation and projection for dimension reduction.” arXiv preprint arXiv:1802.03426.
McLachlan, G. J., and Krishnan, T. (1997).The EM Algorithm and Extensions.New York: John Wiley & Sons.
McQuitty, L. L. (1957).“Elementary Linkage Analysis for Isolating Orthogonal and Oblique Types and Typal Relevancies.”Educational and Psychological Measurement 17:207–229.
Milligan, G. W. (1980).“An Examination of the Effect of Six Types of Error Perturbation on Fifteen Clustering Algorithms.”Psychometrika 45:325–342.
Nelson, P. R. C., Taylor, P. A., and MacGregor, J. F. (1996).“Missing Data Methods in PCA and PLS: Score calculations with incomplete observations.”Chemometrics and Intelligent Laboratory Systems 35:45–65.
Nunnally, J. C. (1978).Psychometric theory.2nd ed. New York: McGraw-Hill.
Penny, K. I. (1996).“Appropriate Critical Values When Testing for a Single Multivariate Outlier by Using the Mahalanobis Distance.”Journal of the Royal Statistical Society, Series C 45:73–81.
Press, W. H, Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. (1998).Numerical Recipes in C: The Art of Scientific Computing.2nd ed. Cambridge, England: Cambridge University Press.
Rasch, G. (1980).Probabilistic Models for Some Intelligence and Attainment Tests.Chicago: University of Chicago Press.
Rodriguez, A., Reise, S. P., and Haviland, M. G. (2016).“Evaluating Bifactor Models: Calculating and Interpreting Statistical Indices.Psychological Methods 21:137.
Saad, D. (1998).“Online algorithms and stochastic approximations.”Online Learning 5(3):6.
SAS Institute Inc.(1983).SAS Technical Report A-108: Cubic Clustering Criterion.Cary, NC: SAS Institute Inc. https://support.sas.com/kb/22/addl/fusion_22540_1_a108_5903.pdf.
SAS Institute Inc.(2022a).“The CALIS Procedure.”SAS/STAT® User’s Guide.Cary, NC: SAS Institute Inc. https://go.documentation.sas.com/api/collections/pgmsascdc/v_034/docsets/statug/content/calis.pdf.
SAS Institute Inc.(2022b).“The CANDISC Procedure.”SAS/STAT® User’s Guide.Cary, NC: SAS Institute Inc. https://go.documentation.sas.com/api/collections/pgmsascdc/v_034/docsets/statug/content/candisc.pdf.
SAS Institute Inc.(2022c).“The FACTOR Procedure.”SAS/STAT® User’s Guide.Cary, NC: SAS Institute Inc. https://go.documentation.sas.com/api/collections/pgmsascdc/v_034/docsets/statug/content/factor.pdf.
SAS Institute Inc.(2022d).“The FASTCLUS Procedure.”SAS/STAT® User’s Guide.Cary, NC: SAS Institute Inc. https://go.documentation.sas.com/api/collections/pgmsascdc/v_034/docsets/statug/content/fastclus.pdf.
SAS Institute Inc.(2020e).“The MIXED Procedure.”SAS/STAT® User’s Guide.Cary, NC: SAS Institute Inc. https://go.documentation.sas.com/api/collections/pgmsascdc/v_034/docsets/statug/content/mixed.pdf.
SAS Institute Inc.(2022f).“The PLS Procedure.”SAS/STAT® User’s Guide.Cary, NC: SAS Institute Inc. https://go.documentation.sas.com/api/collections/pgmsascdc/v_034/docsets/statug/content/pls.pdf.
SAS Institute Inc.(2022g).“The VARCLUS Procedure.”SAS/STAT® User’s Guide.Cary, NC: SAS Institute Inc. https://go.documentation.sas.com/api/collections/pgmsascdc/v_034/docsets/statug/content/varclus.pdf.
Schafer, J., and Strimmer, K. (2005).“A Shrinkage Approach to Large-Scale Covariance Matrix Estimation and Implications for Functional Genomics.”Statistical Applications in Genetics and Molecular Biology 4 Article 32.
Sneath, P. H. A. (1957).“The Application of Computers to Taxonomy.”Journal of General Microbiology 17:201–226.
Sokal, R. R., and Michener, C. D. (1958).“A Statistical Method for Evaluating Systematic Relationships.”University of Kansas Science Bulletin 38:1409–1438.
Steiger, J. H. (1989).EzPATH: A Supplementary Module for SYSTAT and SYGRAPH.Evanston, IL: Systat.
Steiger, J. H. (1990).“Structural Model Evaluation and Modification: An Interval Estimation Approach.”Multivariate Behavioral Research 25:173–180.
Tobias, R. D. (1995).“An Introduction to Partial Least Squares Regression.”In Proceedings of the Twentieth Annual SAS Users Group International Conference, 1250–1257.Cary, NC: SAS Institute Inc. http://www.sascommunity.org/sugi/SUGI95/Sugi-95-210%20Tobias.pdf.
Tracy, N. D., Young, J. C., and Mason, R. R. (1992).“Multivariate Control Charts for Individual Observations.”Journal of Quality Technology 24:88–95.
Umetrics.(1995).Multivariate Analysis (3-day course).Winchester, MA.
Van der Maaten, L. (2014).“Accelerating t-SNE using tree-based algorithms.”The Journal of Machine Learning Research 15:3221–3245.
Van der Maaten, L., and Hinton, G. E. (2008).“Visualizing Data using t-SNE.”Journal of Machine Learning Research 9(11).
Waern, Y. (1972).“Structure in Similarity Matrices: A Graphic Approach.”Scandinavian Journal of Psychology 13:5–16.
West, S. G., Taylor, A. B., and Wu, W. (2012).“Model Fit and Model Selection in Structural Equation Modeling.”In Handbook of Structural Equation Modeling, edited by R. H. Hoyle, 209–231.New York: The Guilford Press.
White, K. P., Jr., Kundu, B., and Mastrangelo, C. M. (2008).“Classification of Defect Clusters on Semiconductor Wafers Via the Hough Transform.”IEEE Transactions on Semiconductor Manufacturing 21:272–278.
Wold, S. (1994).“PLS for Multivariate Linear Modeling.”In QSAR: Chemometric Methods in Molecular Design.Methods and Principles in Medicinal Chemistry, edited by H. van de Waterbeemd, pp. 195–218.Weinheim, Germany: Verlag-Chemie.
Wold, S., Sjostrom, M., and Eriksson, L. (2001).“PLS-Regression: A Basic Tool of Chemometrics.”Chemometrics and Intelligent Laboratory Systems 58:109–130.