Investigation of the Multiple Imputation Method in Different Missing Ratios and Sample Sizes

In many studies, missing data are the real trouble to researchers. Because the statistical methods are designed for complete data sets. Multiple imputation method is developed to solve the missing data problem. The method is also used effectively in some useful properties of the Bayes method. If there are missing values in the data set, Bayesian method can be used to prevent the loss of information. In this study, the performance of the multiple imputation method is evaluated by generating survival data with different missing rates and different sample sizes. Also, informative priors and multiple imputation method are used together to prevent the missing information in the variable with missing value.

___

C. K. Enders, “Applied Missing Data Analysis,” New York: Guilford Press, pp. 165–286, 2010.

D. R., Cox, “Regression models and life tables,” Journal of the Royal Statistical Society 34, pp. 187–220, 1972.

N. Alkan, “Assessing Convergence Diagnostic Tests for Bayesian Cox Regression,” Communication in Statistics- Simulation and Computation, Vol.46, No.4, pp. 3201-3212, 2017.

J. G., Ibrahim, M. H., Chen, D. Sinha, “Bayesian Survival Analysis. New York,” Springer-Verlag, 2001.

P. D. Allison, “Multiple imputation for missing data: a cautionary tale,” Sociological Methods and Research 28 pp. 301–309, 2000.

D. B. Rubin, “Inference and missing data,” Biometrika 63 pp. 581–592, 1976.

D. B. Rubin, “Multiple Imputation for Nonresponse in Surveys,” 1st ed. New York, John Wiley&Sons, p. 303, 1987.

J.L. Schafer, M.K. Olsen, “Multiple imputation for multivariate missing data problems: a data analyst’s perspective,” Multivariate Behavioural Research, vol. 33, no. 1, pp. 545-71, 1998.

P.T., Lam, M.W., Leung, C.Y. Tse, “Identifying prognostic factors for survival in advanced cancer patients: a prospectivestudy,” Hong Kong Med J, vol.13, pp. 453-459, 2007.

C. M., Abreu, J. M., Chatkin, C. C., Fritscher, M. B., Wagner, J. A. L. F. Pinto, “Long-term survival in lung cancer after surgical treatment: is gender a prognostic factor?,” 2003. (http://www.scielo.br/pdf/jbpneu/v30n1/e n_v30n1a03.pdf. 26.06.2018)

N., Alkan, Y., Terzi, M. A., Cengiz, B. B., Alkan, “Comparison of Missing Data Analysis Methods in Cox Proportional Hazard Models,” Turkiye Klinikleri Journal of Biostatistic, vol. 5, no. 2, pp. 49- 54, 2013.