References - Regression
 

[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.

[6]    D.A. Belsley, E. Kuh, and R.E. Welsch (1980). Regression Diagnostics. John Wiley & Sons, Inc.

[7]    A. Bhargava (1989). "Missing Observations and the Use of the Durbin-Watson Statistic," Biometrika, 76, 828-831.

[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.

[17]   M.J. Garside (1971). "Some Computational Procedures for the Best Subset Problem," Applied Statistics, 20, 8-15.

[18]   P. Geladi and B. Kowalski (1986). "Partial Least-Squares Regression: A Tutorial," Analytica Chimica Acta, 185, 1-17.

[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.

Acknowledgments

We are very grateful for help in the design of the regression algorithm from W. Miller and from G.W. Stewart and for useful suggestions from P.F. Velleman and S. Weisberg and many others.