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Original Articles

Ridge Regression in Practice

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Pages 3-20 | Published online: 12 Mar 2012

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Wenyang Huang, Huiwen Wang & Shanshan Wang. (2024) A pseudo principal component analysis method for multi-dimensional open-high-low-close data in candlestick chart. Communications in Statistics - Theory and Methods 53:10, pages 3472-3498.
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A. F. Roldán López de Hierro, C. García & R. Salmerón. (2021) Analysis of the condition number in the raise regression. Communications in Statistics - Theory and Methods 50:24, pages 6195-6210.
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Atila Göktaş, Özge Akkuş & Aykut Kuvat. (2021) A new robust ridge parameter estimator based on search method for linear regression model. Journal of Applied Statistics 48:13-15, pages 2457-2472.
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Piyada Phrueksawatnon, Jirawan Jitthavech & Vichit Lorchirachoonkul. (2021) Determining the optimal ridge parameter in logistic regression. Communications in Statistics - Simulation and Computation 50:11, pages 3569-3580.
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Zilong Wang, Shah Zaman, Samma Faiz Rasool, Qamar uz Zaman & Asad Amin. (2020) Exploring the Relationships Between a Toxic Workplace Environment, Workplace Stress, and Project Success with the Moderating Effect of Organizational Support: Empirical Evidence from Pakistan. Risk Management and Healthcare Policy 13, pages 1055-1067.
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Nam-Hee Choi, Kerby Shedden, Gongjun Xu, Xuefei Zhang & Ji Zhu. (2020) Comment: Ridge Regression, Ranking Variables and Improved Principal Component Regression. Technometrics 62:4, pages 451-455.
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Catalina B. García, Román Salmerón, Claudia García & José García. (2020) Residualization: justification, properties and application. Journal of Applied Statistics 47:11, pages 1990-2010.
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Takuya Inokuchi, Ryosuke Okamoto & Noriyoshi Arai. (2020) Predicting molecular ordering in a binary liquid crystal using machine learning. Liquid Crystals 47:3, pages 438-448.
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Román Salmerón Gómez, Catalina García García & Jose García Pérez. (2020) Comment on “A Note on Collinearity Diagnostics and Centering” by Velilla (2018). The American Statistician 74:1, pages 68-71.
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Quoc Bao Pham, Kaustuv Mukherjee, Akbar Norouzi, Nguyen Thi Thuy Linh, Saeid Janizadeh, Kourosh Ahmadi, Artemi Cerdà, Thi Ngoc Canh Doan & Duong Tran Anh. (2020) Head-cut gully erosion susceptibility modelling based on ensemble Random Forest with oblique decision trees in Fareghan watershed, Iran. Geomatics, Natural Hazards and Risk 11:1, pages 2385-2410.
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Aris Spanos. (2019) Near-collinearity in linear regression revisited: The numerical vs. the statistical perspective. Communications in Statistics - Theory and Methods 48:22, pages 5492-5516.
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D. R. Jensen & D. E. Ramirez. (2018) Designs enhancing Fisher information. Communications in Statistics - Theory and Methods 47:20, pages 4895-4904.
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D. R. Jensen & D. E. Ramirez. (2018) On mitigating collinearity through mixtures. Journal of Statistical Computation and Simulation 88:8, pages 1437-1453.
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Steven Haine, Kristien Wouters, Hielko Miljoen, Tom Vandendriessche, Marc Claeys, Johan Bosmans & Christiaan Vrints. (2018) A higher volume of fibrotic tissue on virtual histology prior to coronary stent implantation predisposes to more pronounced neointima proliferation. Acta Cardiologica 73:2, pages 171-178.
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Saman Babaie-Kafaki & Mahdi Roozbeh. (2017) A revised Cholesky decomposition to combat multicollinearity in multiple regression models. Journal of Statistical Computation and Simulation 87:12, pages 2298-2308.
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Pedro Macedo. (2017) Ridge Regression and Generalized Maximum Entropy: An improved version of the Ridge–GME parameter estimator. Communications in Statistics - Simulation and Computation 46:5, pages 3527-3539.
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Diarmuid O’Driscoll & Donald E. Ramirez. (2016) Mitigating collinearity in linear regression models using ridge, surrogate and raised estimators. Cogent Mathematics 3:1.
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C.K. Chandrasekhar, H. Bagyalakshmi, M.R. Srinivasan & M. Gallo. (2016) Partial ridge regression under multicollinearity. Journal of Applied Statistics 43:13, pages 2462-2473.
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Morteza Amini & Mahdi Roozbeh. (2016) Least trimmed squares ridge estimation in partially linear regression models. Journal of Statistical Computation and Simulation 86:14, pages 2766-2780.
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Ronald D. Snee, Roger W. Hoerl & Gabriella Bucci. (2016) A statistical engineering strategy for mixture problems with process variables. Quality Engineering 28:3, pages 263-279.
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Chris Baumann & Hume Winzar. (2016) The role of secondary education in explaining competitiveness. Asia Pacific Journal of Education 36:1, pages 13-30.
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C.B. García, J. García, M.M. López Martín & R. Salmerón. (2015) Collinearity: revisiting the variance inflation factor in ridge regression. Journal of Applied Statistics 42:3, pages 648-661.
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Siti Haslinda Mohd Din, Marek Molas, Jolanda Luime & Emmanuel Lesaffre. (2014) Longitudinal profiles of bounded outcome scores as predictors for disease activity in rheumatoid arthritis patients: a joint modeling approach. Journal of Applied Statistics 41:8, pages 1627-1644.
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Guangxiang Zhang & John J. Chen. (2013) Adaptive fitting of linear mixed-effects models with correlated random effects. Journal of Statistical Computation and Simulation 83:12, pages 2291-2314.
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S. Najarian, M. Arashi & B. M. Golam Kibria. (2013) A Simulation Study on Some Restricted Ridge Regression Estimators. Communications in Statistics - Simulation and Computation 42:4, pages 871-890.
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Zangin Zeebari. (2012) Developing ridge estimation method for median regression. Journal of Applied Statistics 39:12, pages 2627-2638.
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M. Hassanzadeh Bashtian, M. Arashi & S.M.M. Tabatabaey. (2011) Using improved estimation strategies to combat multicollinearity. Journal of Statistical Computation and Simulation 81:12, pages 1773-1797.
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Abbie Stewart, Petr E. Komers & Darren J. Bender. (2010) Assessing landscape relationships for habitat generalists. Écoscience 17:1, pages 28-36.
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Aigbe Akhigbe , Jeff Madura & Carolyn Spencer. (2004) Partial acquisitions, corporate control, and performance. Applied Financial Economics 14:12, pages 847-857.
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Lianjie Shu, Fugee Tsung & Kailash C. Kapur. (2004) Design of Multiple Cause-Selecting Charts for Multistage Processes with Model Uncertainty. Quality Engineering 16:3, pages 437-450.
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John V. Petrocelli. (2003) Hierarchical Multiple Regression in Counseling Research: Common Problems and Possible Remedies. Measurement and Evaluation in Counseling and Development 36:1, pages 9-22.
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Luis Firinguetti. (1999) A generalized ridge regression estimator and its finite sample properties. Communications in Statistics - Theory and Methods 28:5, pages 1217-1229.
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Myung-Hoe Huh & Ingram Olkin. (1995) Asymptotic Aspects of Ordinary Ridge Regression. American Journal of Mathematical and Management Sciences 15:3-4, pages 239-254.
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JohnW. Odhiambo & Joseph Arap Koske. (1988) On improved estimation under additional information. International Journal of Mathematical Education in Science and Technology 19:4, pages 587-591.
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PaulJ. Ossenbruggen, MarieA. Gaudard & andM. Robin Collins. (1988) System model development with ill-conditioned data: case studies of trihalomethane formation in drinking water. Civil Engineering Systems 5:1, pages 31-41.
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RogerW. Hoer1, JohnH. Schuenemeyer & ArthurE. Hoer1. (1986) A Simulation of Biased Estimation and Subset Selection Regression Techniques. Technometrics 28:4, pages 369-380.
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Tze-San Lee. (1986) A simulation study of deterministic ridge estimators. Journal of Statistical Computation and Simulation 24:3-4, pages 171-183.
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Ronald D. Snee. (1985) Computer-Aided Design of Experiments—Some Practical Experiences. Journal of Quality Technology 17:4, pages 222-236.
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S. Leath & R.B. Carroll. (1985) Use of ridge regression to predict yield reduction by Fusarium sp. in selected soybean cultivars. Canadian Journal of Plant Pathology 7:1, pages 58-66.
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SamuelD. Oman. (1985) Specifying a Prior Distribution in Structured Regression Problems. Journal of the American Statistical Association 80:389, pages 190-195.
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A.J. Bertie & G.W. Cran. (1985) Estimation of the constant term when using ridge regression. International Journal of Mathematical Education in Science and Technology 16:1, pages 63-65.
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KennethN. Berk. (1984) Validating Regression Procedures With New Data. Technometrics 26:4, pages 331-338.
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DavidA. Belsley. (1984) EIGENVECTOR WEAKNESSES AND OTHER TOPICS FOR ASSESSING CONDITIONING DIAGNOSTICS. Technometrics 26:3, pages 297-299.
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RonaldD. Snee & DonaldW. Marquardt. (1984) Comment. The American Statistician 38:2, pages 83-87.
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DavidA. Belsley. (1984) Demeaning Conditioning Diagnostics through Centering. The American Statistician 38:2, pages 73-77.
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Ralph C. St. John. (1984) Experiments with Mixtures, Ill-Conditioning, and Ridge Regression. Journal of Quality Technology 16:2, pages 81-96.
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James H. Gapinski. (1984) Residents, recreationists, ridge regression, and revenues:the five r's of florida's motor- tax. Communications in Statistics - Theory and Methods 13:2, pages 163-171.
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SamuelD. Oman. (1983) Regression Estimation for a Bounded Response Over a Bounded Region. Technometrics 25:3, pages 251-261.
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R.R. Hocking. (1983) Developments in Linear Regression Methodology: 1959–l982. Technometrics 25:3, pages 219-230.
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Ronald D. Snee. (1983) Regression Diagnostics: Identifying Influential Data and Sources of Collinearity. Journal of Quality Technology 15:3, pages 149-153.
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Richard F. Gunst. (1983) Regresion analysis with multicollinear predictor variables: definition, derection, and effects. Communications in Statistics - Theory and Methods 12:19, pages 2217-2260.
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Tsushung A. Hua & Richard F. Gunst. (1983) Generalized ridge regression: a note on negative ridge parameters. Communications in Statistics - Theory and Methods 12:1, pages 37-45.
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SamuelD. Oman. (1982) Shrinking Towards Subspaces in Multiple Linear Regression. Technometrics 24:4, pages 307-311.
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Kurt Enslein & PaulN. Craig. (1982) Carcinogenesis: A predictive structure‐activity model. Journal of Toxicology and Environmental Health 10:4-5, pages 521-530.
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EdwardR. Mansfield & BillyP. Helms. (1982) Detecting Multicollinearity. The American Statistician 36:3a, pages 158-160.
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Lawrence Peele & ThomasP. Ryan. (1982) Minimax Linear Regression Estimators With Application to Ridge Regression. Technometrics 24:2, pages 157-159.
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John Mandel. (1982) Use of the Singular Value Decomposition in Regression Analysis. The American Statistician 36:1, pages 15-24.
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EdwardE. Leamer. (1981) Coordinate-Free Ridge Regression Bounds. Journal of the American Statistical Association 76:376, pages 842-849.
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DouglasC. Montgomery & RonaldG. Askin. (1981) Problems of Nonnormality and Multicollinearity for Forecasting Methods Based on Least Squares. A I I E Transactions 13:2, pages 102-115.
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J.F. Lawless. (1981) Mean Squared Error Properties of Generalized Ridge Estimators. Journal of the American Statistical Association 76:374, pages 462-466.
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BeneeF. Swindel. (1981) Geometry of Ridge Regression Illustrated. The American Statistician 35:1, pages 12-15.
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R.J. Brook & R.H. Fletcher. (1981) Optimal significance levels of prior tests in the presence of multicollinearity. Communications in Statistics - Theory and Methods 10:14, pages 1401-1413.
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RichardF. Gunst. (1980) Comment. Journal of the American Statistical Association 75:369, pages 98-100.
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R. Craig Van Nostrand. (1980) Comment. Journal of the American Statistical Association 75:369, pages 92-94.
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DonaldW. Marquardt. (1980) Comment. Journal of the American Statistical Association 75:369, pages 87-91.
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RonaldA. Thisted. (1980) Comment. Journal of the American Statistical Association 75:369, pages 81-86.
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Gary Smith & Frank Campbell. (1980) A Critique of Some Ridge Regression Methods. Journal of the American Statistical Association 75:369, pages 74-81.
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Michael F. Driscoll & Dennis J. Anderson. (1980) Point-of-expansion, structure, and selection in multivariable polynomial regression. Communications in Statistics - Theory and Methods 9:8, pages 821-836.
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NormanR. Draper & R. Craig Van Nostrand. (1979) Ridge Regression and James-Stein Estimation: Review and Comments. Technometrics 21:4, pages 451-466.
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StephenE. Fienberg. (1979) Graphical Methods in Statistics. The American Statistician 33:4, pages 165-178.
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GeneH. Golub, Michael Heath & Grace Wahba. (1979) Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter. Technometrics 21:2, pages 215-223.
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RichardF. Gunst & RobertL. Mason. (1979) Some Considerations in the Evaluation of Alternate Prediction Equations. Technometrics 21:1, pages 55-63.
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RalphA. Bradley & SushilS. Srivastava. (1979) Correlation in Polynomial Regression. The American Statistician 33:1, pages 11-14.
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Richard F. Gunst. (1979) An approach to the programming of biased regression algorithms. Communications in Statistics - Simulation and Computation 8:2, pages 151-159.
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AndrewR. Willan & DonaldG. Watts. (1978) Meaningful Multicollinearity Measures. Technometrics 20:4, pages 407-412.
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DeanW. Wichern & GilbertA. Churchill. (1978) A Comparison of Ridge Estimators. Technometrics 20:3, pages 301-311.
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H.D. Vinod. (1978) Equivariance of ridge estimators through standardization, a note. Communications in Statistics - Theory and Methods 7:12, pages 1157-1161.
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J.F Lawless. (1978) Ridge and related estimation procedures: theory and practice. Communications in Statistics - Theory and Methods 7:2, pages 139-164.
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KennethN. Berk. (1977) Tolerance and Condition in Regression Computations. Journal of the American Statistical Association 72:360a, pages 863-866.
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R.L. Obenchain. (1977) Classical F-Tests and Confidence Regions for Ridge Regression. Technometrics 19:4, pages 429-439.
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RonaldD. Snee. (1977) Validation of Regression Models: Methods and Examples. Technometrics 19:4, pages 415-428.
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JamesC. Seferis, RoyL. McCullough & Robert Joel Samuels. (1977) Influence of structure on the dynamic mechanical properties of crystalline polymers. Journal of Macromolecular Science, Part B 13:3, pages 357-380.
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Thomas B. Fomby & S.R. Johnson. (1977) MSE evaluation of ridge estimators based on stochastic prior information. Communications in Statistics - Theory and Methods 6:13, pages 1245-1258.
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R. Carter Hill, Thomas B. Fomby & S. R. Johnson. (1977) Component selection norms for principal components regression. Communications in Statistics - Theory and Methods 6:4, pages 309-334.
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D.R. Cox. (1977) Nonlinear models, residuals and transformations . Series Statistics 8:1, pages 3-22.
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R.R. Hocking, F.M. Speed & M.J. Lynn. (1976) A Class of Biased Estimators in Linear Regression. Technometrics 18:4, pages 425-437.
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Gerald J. Hahn, William Q. Meeker$suffix/text()$suffix/text() & Paul I. Feder. (1976) The Evaluation and Comparison of Experimental Designs for Fitting Regression Relationships. Journal of Quality Technology 8:3, pages 140-157.
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