A Study Based on the Application of Bootstrap and Jackknife Methods in Simple Linear Regression Analysis
Keywords:
Bootstrap, Jackknife, Simple linear regression, Mean squared error, Coefficient of determination, Coefficient of correlation.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.
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, May?s, 1996.
Schenker, N. "Qualms about bootstrap confidence intervals." Journal of the American Statistical Association 80.390: 360-361, 1985.
Av?ar, P. E. Bootstrap Y
Topuz, D. Regresyonda Yeniden
Rousseeuw, P. J., & Leroy, A. M., Robust regression and outlier detection (Vol. 589). John Wiley & Sons. , 2005.
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