Journals / Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi / 2020 / Cilt: 36 - Sayı: 3

Mean Square Error Performance of the Modified Jackknifed Ridge Predictors in the Linear Mixed Models

Pages
400–407
Publication Date
2020-12-31
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, a real data analysis is given to observe the behavior of the modified jackknifed ridge predictors.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The goal of this study is to introduce the modified jackknifed ridge prediction method in the linear mixed models.
📊
Key Findings & Data:Then, the matrix mean square error (MMSE) comparisons are done.
💡
Conclusion & Impact:Finally, a real data analysis is given to observe the behavior of the modified jackknifed ridge predictors.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Jackknifed ridge predictors · Linear mixed models · Modified jackknified ridge predictors

Özet

The goal of this study is to introduce the modified jackknifed ridge prediction method in the linear mixed models. Then, the matrix mean square error (MMSE) comparisons are done. Finally, a real data analysis is given to observe the behavior of the modified jackknifed ridge predictors.

🔖

Cite This Article

KURAN, Ö. (2020). Mean Square Error Performance of the Modified Jackknifed Ridge Predictors in the Linear Mixed Models. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, Cilt: 36 - Sayı: 3, 400–407. https://ajindex.com/articles/252990

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (18)

  1. Laird, N. M., Ware, J. H. 1982. Random-Effects Models for Longitudinal Data. Biometrics, 38, 963–974
  2. Longford, N. T. 1993. Random Coefficient Models. Oxford University Press, New York
  3. Harville, D. A. 1977. Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems. Journal of the American Statistical Association, 72, 320-340
  4. Lindstrom, M. J., Bates, D. M. 1988. Newton-Raphson and EM Algorithms for Linear Mixed-Effects Models for Repeated-Measures Data. Journal of the American Statistical Association, 83, 1014-1022
  5. Diggle, P. J., Liang, K-Y., Zeger, S. L. 1994. Analysis of Longitudinal Data. Oxford University Press, New York
  6. Gumedze, F. N., Dunne, T. T. 2011. Parameter Estimation and Inference in the Linear Mixed Model. Linear Algebra and Its Application, 435, 1920-1944
  7. Henderson, C. R. 1950. Estimation of Genetic Parameters (Abstract). Annals of Mathematical Statistics, 21, 309–310
  8. Henderson, C. R., Kempthorne, O., Searle S. R., von Krosig, C. N. 1959. Estimation of Environmental and Genetic Trends from Records Subject to Culling. Biometrics, 15, 192-218
  9. Hoerl, A. E., Kennard, R. W. 1970. Ridge Regression Biased Estimation for Nonorthogonal Problems. Technometrics, 12, 55–67
  10. Singh, B., Chaubey, Y. P., Dwivedi, T. D. 1986. An Almost Unbiased Ridge Estimator. Sankhya, 48, 342–346
  11. Ohtani, K. 1986. On Small Sample Properties of the Almost Unbiased Generalized Ridge Estimator. Communications in Statistics -Theory and Methods, 15, 1571–1578
  12. Singh, B., Chaubey, Y. P. 1987. On Some Improved Ridge Estimators. Statistical Papers, 28, 53–67
  13. Nomura, B. 1988. On the Almost Unbiased Ridge Regression Estimator. Communications in Statistics - Simulation and Computation, 17, 729–743
  14. Nyquist, H. 1988. Applications of the Jackknifed Procedure in Ridge Regression. Computational Statistics & Data Analysis, 6, 177-183
  15. Gruber, M. H. J. 1998. Improving Efficiency by Shrinkage: the James–Stein and Ridge Regression Estimators. Marcell Dekker, New York
  16. Özkale, M. R. 2008. A Jackknifed Ridge Estimator in the Linear Regression Model with Heteroscedastic or Correlated Errors. Statistical Probability Letters, 78, 3159–3169
  17. Batah, F. S. M., Ramanathan, T. V., Gore, S. D. 2008. The Efficiency of Modified Jackknife and Ridge Type Regression Estimators: a Comparison. Surveys in Mathematics and its Applications, 3, 111–122
  18. Khurana, M., Chaubey, Y. P., Chandra, S. 2014