Optimal Bias in Ridge Regression Approaches To Multicollinearity
Bibliographic Data
| ID | 2331340 |
|---|---|
| Authors | John D Kasarda (University of North Carolina at Chapel Hill), Wen-Fu P Shih (Florida Atlantic Universitv) |
| Year | 1977 |
| Volume | 5 |
| Issue | 4 |
| Pages | 461-470 |
| Publication date | 1977-05-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Sociological Methods & Research (JOURNAL) |
| Journal identifiers | ISSN: 0049-1241 • E-ISSN: 1552-8294 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1177/004912417700500405 |
| OpenAlex | W2024987078 |
| Language | EN |
| Citations received | 12 |
| References cited | 11 |
Ridge regression, based on adding a smally quantity, k, to the diagonal of a correlation matrix of highly collinear independent variables, can reduce the error variance of estimators, but at the expense of introducing bias. Because bias is a monotonic increasing function of k, the problem of the appropriate amount of k to introduce as the ridge analysis increment has yet to be resolved This paper proposes a method for selecting the optimal value of k in terms of minimizing the mean square error of estimation. First, we demonstrate mathematically the existence of a minimum mean square error point of the ridge estimator along the scale k. Second, we present an iterative procedure for locating the k value which will minimize the mean square error of estimates for any correlated data set
Diagonal · Estimator · Mathematical analysis · Mean squared error · Minimum mean square error · Monotonic function · Multicollinearity · Regression · Regression analysis · Ridge · Statistics · Variance (accounting) · Variance inflation factor · Advanced Statistical Methods and Models · Advanced Statistical Process Monitoring · Mathematics · Statistical Methods and Inference
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Determinants of Adolescent Perceptions of Maternal and Paternal Power in the Family
Parental Power Bases and Processes as Predictors of Adolescent Conformity
Parent-Youth Power Dimensions and the Behavioral Autonomy of Adolescents
Some Fundamental Misuses of Multiple Regression
Racial Discrimination as a Determinant of Home Improvement Loans
An Examination of an Ecological Model of Neighborhood Change, Which Employs a Biased Estimation Technique
The R2 Ridge Trace in 2SLS Regression Estimation
Normalization Ridge Regression in Practice
Collinearity, Ridge Regression, and Investigator Judgment
Decreasing Multicollinearity
Parental Influence and Adolescent Conformity
| Unique citing works | 12 |
|---|---|
| Citations per year | 0,26 |
| Citation span | 1979 - 1989 (11) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 10 |