A Study Based on the Application of Bootstrap and Jackknife Methods in Simple Linear Regression Analysis

Tolga Zaman, Kamil Alakuş

Abstract


In the study, bootstrap and jackknife methods, which are used as a correction term when assumptions of the error in simple linear regressions are not met, are explored in detail. In the application, model parameters, coefficients of determination, standard errors, coefficients of correlation and %95 confidence intervals belonging to these methods are estimated with the help of a real data and the obtained results are interpreted.

 


Keywords


Bootstrap; Jackknife; Simple linear regression; Mean squared error; Coefficient of determination; Coefficient of correlation.

References


Efron. B. Bootstrap Method; Another Look at Jackknife. Annals of Statistics, Vol. 7, pp. 1-26, 1979.

Freedman. D.A. Bootstrapping Regression Models, Annals of Statistics. Vol.1, No. 6, pp. 1218-1228, 1981.

Wu, C. F. J. Jackknife, Bootstrap and other Resampling Methods in Regression Analysis, Annals of Statistics, Vol. 14, No. 4, pp. 1261-129, 1986.

Algamal, Z. Y. And Rasheed, K . B. Re-sampling in Linear Regression Model Using Jackknife and Bootstrap , Iraqi Journal of Statistical Science. Vol. 18, pp. 59-73, 2010.

Quenouille, M. H. Approximate tests of correlation in time series. Journal of the Royal Statistical Society, 11, 18-44, 1949.

Quenouille, M. H. Notes on bias in estimation. Biometrika, 61, 353-360, 1956.

Tukey, J. W. Bias and confidence in not-quite large sample. Ann Math Stat, 29, 614, 1958.

Lohr, Sharon. Sampling: design and analysis. Nelson Education, 2009.

Fenwick, I. Techniques in Market Measurement: The Jackknife. Journal of Marketing Research, 163, 410-414, 1979.

Abdi, H. and Williams, J. L. Jackknife in Neil Salkind (Ed.). Eneyclopedia of Research Design. http://dx.doi.org/10.4135/9781412961288.n202, 2010

Mooney Christopher Z.. Bootstrap Statistical Inference;Examples anad Evaluation for Political Science, American Journal of Political Science, Vol:40, No:2, Mayıs, 1996.

Schenker, N. "Qualms about bootstrap confidence intervals." Journal of the American Statistical Association 80.390: 360-361, 1985.

Avşar, P. E. Bootstrap Yönteminin Regresyon Analizinde Kullanımına İlişkin Olarak Türkiye İnşaat Sektöründe Bir Uygulama. Marmara Üniversitesi Ekonometri Anabilim Dalı Yüksek Lisans Tezi İstanbul, 2006.

Topuz, D. Regresyonda Yeniden Örnekleme Yöntemlerinin Karsılastırmalı Olarak İncelenmesi. Yüksek Lisans Tezi, Nigde, 2002.

Rousseeuw, P. J., & Leroy, A. M., Robust regression and outlier detection (Vol. 589). John Wiley & Sons. , 2005.


Full Text: PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.



 

 



About IJSBAR | Privacy PolicyTerms & ConditionsContact UsDisclaimerFAQs

IJSBAR is published by (GSSRR).

 Plagiarism Policy