参考 - 回归
    

[1]    A. Agresti (1984). Analysis of Ordinal Categorical Data. John Wiley & Sons, Inc.

[2]    A. Agresti (1990). Categorical Data Analysis. John Wiley & Sons, Inc.

[3]    A. Albert and J.A. Anderson (1984). "On the Existence of Maximum Likelihood Estimates in Logistic Regression Models," Biometrika, 71, 1, 1-10.

[4]    D.M. Bates and D.G. Watts (1988). "A Relative Offset Orthogonality Convergence Criterion for Nonlinear Least Squares," Technometrics, 23, 179-183.

[5]    D.M. Bates and D.G. Watts (1988). Nonlinear Regression Analysis and Its Applications. John Wiley & Sons, Inc.

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[8]    C.C. Brown (1982). "On a Goodness of Fit Test for the Logistic Model Based on Score Statistics," Communications in Statistics, 11, 1087-1105.

[9]    D.A. Burn and T.A. Ryan, Jr. (1983). "A Diagnostic Test for Lack of Fit in Regression Models," ASA 1983 Proceedings of the Statistical Computing Section, 286-290.

[10]    R.D. Cook (1977). "Detection of Influential Observations in Linear Regression," Technometrics, 19, 15-18.

[11]   R.D. Cook and S. Weisberg (1982). Residuals and Influence in Regression. Chapman and Hall.

[12]   N.R. Draper and H. Smith (1981). Applied Regression Analysis, Second Edition. John Wiley & Sons, Inc.

[13]   S.E. Fienberg (1987). The Analysis of Cross-Classified Categorical Data. The MIT Press.

[14]   I.E. Frank and J.H. Friedman (1993). "A Statistical View of Some Chemometrics Regression Tools," Technometrics, 35, 109-135.

[15]   I.E. Frank and B.R. Kowalski (1984). "Prediction of Wine Quality and Geographic Origin from Chemical Measurements by Partial Least-Squares Regression Modeling," Analytica Chimica Acta, 162, 241-251.

[16]   W. A. Fuller (1987). Measurement Error Models. John Wiley & Sons, Inc.

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[19]   P. Geladi and B. Kowalski (1986). "An Example of 2-Block Predictive Partial Least-Squares Regression with Simulated Data," Analytica Chimica Acta, 185, 19-32.

[20]   James H. Goodnight (1979). "A Tutorial on the Sweep Operator," The American Statistician, 33, 149-158.

[21]   W.W. Hauck and A. Donner (1977). "Wald's test as applied to hypotheses in logit analysis," Journal of the American Statistical Association, 72, 851-853.

[22]   D.C. Hoaglin and R.E. Welsch (1978). "The Hat Matrix in Regression and ANOVA," The American Statistician, 32, 17-22.

[23]   R.R. Hocking (1976). "A Biometrics Invited Paper: The Analysis and Selection of Variables in Linear Regression," Biometrics, 32, 1-49.

[24]   A. Hoskuldsson (1988). "PLS Regression Methods," Journal of Chemometrics, 2, 211-228.

[25]   D.W. Hosmer and S. Lemeshow (2000). Applied Logistic Regression. 2nd ed. John Wiley & Sons, Inc.

[26]   LINPACK (1979). Linpack User's Guide by J.J. Dongarra, J.R. Bunch, C.B. Moler, and G.W. Stewart, Society for Industrial and Applied Mathematics, Philadelphia, PA.

[27]   A. Lorber, L. Wangen, and B. Kowalski (1987). "A Theoretical Foundation for the PLS Algorithm," Journal of Chemometrics, 1, 19-31.

[28]   J.H. Maindonald (1984). Statistical Computation. John Wiley & Sons, Inc.

[29]   J. Mandel (1984). "Fitting Straight Lines When Both Variables are Subject to Error," Journal of Quality Technology, 16, 1-14.

[30]   P. McCullagh and J.A. Nelder (1992). Generalized Linear Model.  Chapman & Hall.

[31]   W. Miller (1978). "Performing Armchair Roundoff Analysis of Statistical Algorithms," Communications in Statistics, 243-255.

[32]   D.C. Montgomery and E.A. Peck (1982). Introduction to Linear Regression Analysis. John Wiley & Sons.

[33]   J. Neter, W. Wasserman, and M. Kutner (1985). Applied Linear Statistical Models. Richard D. Irwin, Inc.

[34]   S.J. Press and S. Wilson (1978). "Choosing Between Logistic Regression and Discriminant Analysis," Journal of the American Statistical Association, 73, 699-705.

[35]   D.A. Ratkowsky (1990). Handbook of Nonlinear Regression Models, Marcel Dekker.

[36]   M. Schatzoff, R. Tsao, and S. Fienberg (1968). "Efficient Calculation of All Possible Regressions," Technometrics, 10, 769-779.

[37]   G.A. Seber and C.J Wild (1989). Nonlinear Regression, John Wiley & Sons, Inc.

[38]   G.W. Stewart (1973). Introduction to Matrix Computations. Academic Press.

[38]   R.A. Thisted (1988). Elements of Statistical Computing: Numerical Computation. Chapman & Hall.

[40]   P. Velleman and R. Welsch (1981). "Efficient Computation of Regression Diagnostics," The American Statistician, 35, 234-242.

[41]   P.F. Velleman, J. Seaman, and I.E. Allen (1977). "Evaluating Package Regression Routines," ASA 1977 Proceedings of the Statistical Computing Section.

[42]   S. Weisberg (1980). Applied Linear Regression. John Wiley & Sons, Inc.

[43]   H. Wold (1975). "Soft Modeling by Latent Variables; the Nonlinear Iterative Partial Least Squares Approach," in Perspectives in Probability and Statistics, Papers in Honour of M.S. Bartlett, ed. J. Gani, Academic Press.

致谢

我们非常感谢 W. Miller 和 G.W. Stewart 在回归算法设计上给予的帮助,还要感谢 P.F. Velleman 和 S. Weisberg 及其他诸多人士提出的有益建议。