ERIC Number: ED211559
Record Type: RIE
Publication Date: 1981-May
Reference Count: 0
Normalization Ridge Regression in Practice I: Comparisons Between Ordinary Least Squares, Ridge Regression and Normalization Ridge Regression.
Bulcock, J. W.
The problem of model estimation when the data are collinear was examined. Though the ridge regression (RR) outperforms ordinary least squares (OLS) regression in the presence of acute multicollinearity, it is not a problem free technique for reducing the variance of the estimates. It is a stochastic procedure when it should be nonstochastic and it does not satisfy the boundary condition. It is argued that the dilemmas of the RR approach stem from use of the minimum mean square error criterion. An alternative, called the variance normalization criterion is proposed. In theory this method overcomes the dilemmas of RR while at the same time preserving all the advantages of RR over OLS. On the basis of nine performance indices, it is shown that when applied to test data normalization ridge regression performs satisfactorily. Monte Carlo experiments are necessary to shed more light on the problem of selecting the most satisfactory optimal k-value for coping with the multicollinearity problem. (Author/DWH)
Publication Type: Speeches/Meeting Papers; Reports - Research
Education Level: N/A
Sponsor: Swedish Inst., Stockholm.; Social Sciences and Humanities Research Council of Canada, Ottawa (Ontario).; Natural Sciences and Engineering Research Council, Ottawa (Ontario).; Uppsala Univ. (Sweden). Inst. of Theology.
Authoring Institution: Uppsala Univ. (Sweden). Dept. of Psychology.
Identifiers: Normalization Regression Estimation; Ridge Regression Analysis; Stochastic Analysis
Note: For related document, see TM 810 560. Lecture given at University of Uppsala (Sweden, May 1981).