UTILIZATION OF NON-RESPONSE AUXILIARY POPULATION MEAN IN IMPUTATION FOR MISSING OBSERVATIONS
Keywords:
Imputation, Non-response, Post-stratification, Simple Random Sampling Without Replacement (SRSWOR), Respondents (R)Abstract
This paper presents an imputation based factor-type class of estimation strategy for estimating population mean in presence of missing values of auxiliary variable. The non-sampled part of population is used as an imputation technique in the form of a proposed class of estimators. The bias and mean squared error of this class is obtained. Some special cases are discussed. A specific range of parameter is found where the proposed class is optimal. The efficiency of the proposed estimator is compared with similar non-imputed estimator and it is found useful under missing observations setup.
Downloads
References
Agrawal, M.C. and Panda, K.B. (1993). An efficient estimator in post-
stratification, Metron, 51, 3-4, 179-187.
Ahmed, M.S., Al-titi, Omar, Al-Rawi, Ziad and Abu-dayyeh, Walid (2006).
Estimation of a population mean using different imputation method, Statistics in
Transition, 7(6), 1247-1264.
Cochran, W.G. (2005). Sampling Techniques, Third Edition, John Willey & Sons,
New Delhi.
Grover and Couper (1998). Non-response in household surveys, John Wiley and
Sons, New York.
Hansen, M.H. and Hurwitz, W.N. (1946). The problem of non-response in sample
surveys, Jour. Amer. Stat. Asso., 41, 517-529.
Hinde, R.L. and Chambers, R.L. (1990). Non-response imputation with multiple
source of non-response, Jour. Off. Statistics, 7, 169-179.
Khot, P.S. (1994). A note on handling non-response in sample surveys, Jour. Amer.
Stat. Assoc., 89, 693-696.
Lessler and Kalsbeek (1992). Non-response error in surveys, John Wiley and Sons,
New York.
Rao, J.N.K. and Sitter, R.R. (1995). Variance estimation under two phase sampling
with application to imputation for missing data, Biometrika, 82, 453-460.
Rubin, D.B. (1976). Inference and missing data, Biometrika, 63, 581-593.
Shukla, D. (2002). F-T estimator under two phase sampling, Metron, 59, 1-2, 253-
Shukla, D. and Dubey, J. (2001). Estimation in mail surveys under PSNR sampling
scheme, Ind. Soc. Ag. Stat., 54, 3, 288-302.
Shukla, D. and Dubey, J. (2004). On estimation under post-stratified two phase
non-response sampling scheme in mail surveys, International Jour. of Management
and Systems, 20, 3, 269-278.