Estimation of Population Mean with Missing Data in Stratified Random Sampling
Abstract
This research presents estimator of population mean with missing data in stratified random sampling developed from the estimator of population mean with missing data in stratified random sampling concept of Gira (2015) by simulation. The size of the population is 150,000 units with values of a study variable Y and an auxiliary variable X. When the correlation coefficient between variable Y and X has 3 levels which is 0.05, 0.75 and 0.90. Random sample is 30, 90, 300 and 600 sample units are drawn from the population. From each sample randomly the variable Y as randomly missing at 5%, 10% and 15%, respectively. The criteria used for the comparison is the mean square error. In the present study, it indicates that the proposed estimator to be more effective than those reported in Singh et al. (2015) and Thakur et al. (2014) for every cases.Keywords : missing data, stratified random sampling, simple random sampling, estimator of population mean, mean square errorReferences
Arnab, R. and Singh, S. (2006). A New Method for Estimating Variance from Data Imputed with Ratio Method of Imputation. Statistics & probability letters, 76 , 513-519.
Gira, Abdeltawab A. (2015). Estimation of Population Mean with a New Imputation Method. Applied Mathematical Sciences, 9 , 1663-1672.
Kalton, G. and Kasprzyk, D. (1982). Imputation for Missing Survey Responses. Proceeding Section of Survey Research Method. American Statistical Association, 22, 22-33.
Laaksonen, S. (2000). Regression-Based Nearest neighbor Hot Decking. Computational Statistics, 15 , 65-66.
Rao, J. N. K. and Sitter, R.R. (1995). Variance Estimation under Two-Phase Sampling with Application to Imputation for Missing Data. Biometrika Trust, 82 , 453-460.
Thakur, N. S., Yadav, K. and Pathak, S. (2014). Estimation of Mean with Imputation of Missing Data in Stratified Random Sampling. STM Journals, 3, 1-12.
Singh, P., Singh, A. K. and Singh, V.K. (2015). Estimation of Population Mean under Non-Response using Various Imputation Methods for Stratified Population. Columbia International Publishing, 4, 112-122.
Suwattee, P. (2009). Sample Surveys: Sampling Designs and Analysis. Bangkok: WVO Officer of Printing Mill.
(in Thai)
Gira, Abdeltawab A. (2015). Estimation of Population Mean with a New Imputation Method. Applied Mathematical Sciences, 9 , 1663-1672.
Kalton, G. and Kasprzyk, D. (1982). Imputation for Missing Survey Responses. Proceeding Section of Survey Research Method. American Statistical Association, 22, 22-33.
Laaksonen, S. (2000). Regression-Based Nearest neighbor Hot Decking. Computational Statistics, 15 , 65-66.
Rao, J. N. K. and Sitter, R.R. (1995). Variance Estimation under Two-Phase Sampling with Application to Imputation for Missing Data. Biometrika Trust, 82 , 453-460.
Thakur, N. S., Yadav, K. and Pathak, S. (2014). Estimation of Mean with Imputation of Missing Data in Stratified Random Sampling. STM Journals, 3, 1-12.
Singh, P., Singh, A. K. and Singh, V.K. (2015). Estimation of Population Mean under Non-Response using Various Imputation Methods for Stratified Population. Columbia International Publishing, 4, 112-122.
Suwattee, P. (2009). Sample Surveys: Sampling Designs and Analysis. Bangkok: WVO Officer of Printing Mill.
(in Thai)
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Published
2017-06-22
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