IMPUTATION AND DELETION METHODS UNDER THE PRESENCE OF MISSING VALUES AND OUTLIERS: A COMPARATIVE STUDY
Abstract
Missing data and imputation methods are studied in many disciplines. However, the methods have some different properties and some constraints according to missingness mechanism. In this paper, we examine some deletion and imputation methods’ behaviors under the presence of outliers. We obtain a mean vector and covariance matrix with missing and contaminated data and compare the results of imputation methods using mean square errors. In second application, we use the regression data and examine the effect of missingness on regression model’s parameters. We compare the imputed values with real values and explain the results of classical and robust imputation methods.
Keywords
References
- Afifi, A. A. and Elashoff, R. M., “Missing observations in multivariate statistics I. Review of the literature, Journal of the American Statistical Association”, 61:595-605, (1966).
- Allison, P. D. “Missing data: Quantitative applications in the social sciences. British Journal of Mathematical and Statistical Psychology”, 55(1): 193-196, (2002).
- Beale, E. M. L., Little, R. J. A. “Missing values in multivariate analysis, Journal of the Royal Statistical Society, Series B”, 37:129-145, (1975).
- Branden, K., Verboven, V. S., “Robust data imputation, Computational Biology and Chemistry”, 33(1): 7-13, (2009).
- Cheng, T. S., Victoria-Feser, M. P. “High-breakdown estimation of multivariate mean and covariance with missing observations”, British J. Math. Statist. Psych., 5: 317–335, (2002).
- Dempster, A. P., Laird, N. M., Rubin, D. B., “Maximum likelihood from incomplete data via the EM algorithm”, Journal of the Royal Statistical Society, Series B, 39: 1-38, (1977).
- Dempster, A. P., Rubin, D. B. 1983, “Introduction of incomplete data in sample surveys (Volume 2)” Theory and Bibliography (W. G. Madow, I. Olkin, D.B. Rubin eds.)”, 3-10, New York.
- Graham, J.W., Missing Data: Analysis and Design, Springer New York, 324 p., (2014).
Details
Primary Language
English
Subjects
-
Journal Section
-
Publication Date
December 19, 2016
Submission Date
June 15, 2016
Acceptance Date
-
Published in Issue
Year 2016 Volume: 29 Number: 4