Although methods for using ordinary least squares regression computer programs to calculate a ridge regression are available, the calculation of a stepwise ridge regression requires a special purpose algorithm and computer program. The correct stepwise ridge regression procedure is given, and a parallel computer program is described.
References
1.
Cattin, P. (1981). The predictive power of ridge regression: Some quasi-stimulation results. Journal of Applied Psychology, 66, 282-290.
2.
Darlington, R. B. (1978). Reduced variance regression. Psychological Bulletin, 85, 1238-1255.
3.
Dempster, A. P. , Schatzoff, M., and Wermuth, N. (1977). A simulation study of alternatives to ordinary least squares. Journal of the American Statistical Association, 72, 77-91.
4.
Draper, N. R. , and Smith, H. (1981). Applied regression analysis. New York: John Wiley.
5.
Egerton, M. F. , and Laycock, P. J. (1981). Some criticisms of stochastic shrinkage and ridge regression, with counterexamples. Technometrics, 23, 155-159.
6.
Gibbons, D. G. (1981). A simulation study of some ridge estimators. Journal of the American Statistical Association, 76, 121-139.
7.
Hocking, R. R. (1983). Developments in linear regression methodology: 1959-1982. Technometrics, 25, 219-230.
8.
Hoerl, A. E. , and Kennard, R. W. (1970). Ridge regression: Biased estimation of nonorthogonal problems. Technometrics, 12, 55-67.
9.
Lee, H. B. (1980). The estimation of ridge coefficients using regression programs without a zero intercept option. Educational and Psychological Measurement, 40, 745-750.
10.
Marquardt, D. W. , and Snee, R. D. (1975). Ridge regression in practice. American Statistician, 29, 3-20.
11.
Morris, J. D. (1982). Ridge regression and some alternative weighting techniques: A comment on Darlington. Psychological Bulletin, 91, 203-210.
12.
Morris, J. D. (1983). Stepwise ridge regression: A computational clarification. Psychological Bulletin, 94, 363-366.
13.
Pagel, M. D. and Lunneborg, C. E. (1985). Empirical evaluation of ridge regression. Psychological Bulletin, 97, 342-355.
14.
Rozeboom, W. W. (1979). Ridge regression: Bonanza or beguilement?Psychological Bulletin, 86, 242-249.
15.
Smith, G. , and Campbell, F. (1980). A critique of some ridge regression methods. Journal of the American Statistical Association, 75, 74-81.
