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Partial ridge regression under multicollinearity

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  • C.K. Chandrasekhar
  • H. Bagyalakshmi
  • M.R. Srinivasan
  • M. Gallo

Abstract

In multiple linear regression analysis, linear dependencies in the regressor variables lead to ill-conditioning known as multicollinearity. Multicollinearity inflates variance of the estimates as well as causes changes in direction of signs of the coefficient estimates leading to unreliable, and many times erroneous inference. Principal components regression and ridge or shrinkage approach have not provided completely satisfactory results in dealing with the multicollinearity. There are host of issues in ridge regression like choosing bias k and stability or consistency of the variances which still remain unresolved. In this paper, a partial ridge regression estimation is proposed, which involves selectively adjusting the ridge constants associated with highly collinear variables to control instability in the variances of coefficient estimates. Results based on synthetic data from simulations, and a real-world data set from the manufacturing industry show that the proposed method outperforms the existing solutions in terms of bias, mean square error, and relative efficiency of the estimated parameters.

Suggested Citation

  • C.K. Chandrasekhar & H. Bagyalakshmi & M.R. Srinivasan & M. Gallo, 2016. "Partial ridge regression under multicollinearity," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(13), pages 2462-2473, October.
    • Handle: RePEc:taf:japsta:v:43:y:2016:i:13:p:2462-2473
    DOI: 10.1080/02664763.2016.1181726
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    Cited by:

    1. L. B. Sungatullina & E. I. Kadochnikova & G. R. Faizrahmanova, 2020. "Modeling the Effectiveness of Employee Compensation Based on Financial Resources," International Journal of Financial Research, International Journal of Financial Research, Sciedu Press, vol. 11(6), pages 63-72, December.
    2. Hyeong-Ohk Bae & Seung-Yeal Ha & Yongsik Kim & Hyuncheul Lim & Jane Yoo, 2020. "Volatility Flocking by Cucker–Smale Mechanism in Financial Markets," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 27(3), pages 387-414, September.
    3. Jireh Yi-Le Chan & Steven Mun Hong Leow & Khean Thye Bea & Wai Khuen Cheng & Seuk Wai Phoong & Zeng-Wei Hong & Yen-Lin Chen, 2022. "Mitigating the Multicollinearity Problem and Its Machine Learning Approach: A Review," Mathematics, MDPI, vol. 10(8), pages 1-17, April.

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