Yıl 2018,
Cilt: 47 Sayı: 6, 1715 - 1729, 12.12.2018
G. N. Singh
,
S. Suman
Cem Kadilar
Kaynakça
- Ahmed M.S., Al-Titi, O., Al-Rawi, Z. and Abu-Dayyeh, W. Estimation of population mean using different imputation methods, Statistics in Transition, 7(6), 1247-1264, 2006.
- Anderson, T.W. An Introduction to Multivariate Statistical Analysis. John Wiley and Sons, Inc.,New York, 1958.
- Bhushan S. and Pandey P. P. Optimality of ratio type estimation methods for population mean in presence of missing data, Communication in Statistics – Theory and methods, 47(11), 2576-2589, 2018.
- Cochran, W. G. Sampling techniques, New-York, John Wiley and Sons, 1977.
- Diana, G. and Perri, P. F. Improved estimators of the population mean for misssing data, Communications in Statistics- Theory and Methods, 39, 3245-3251, 2010.
- Gira, Abdeltawab A. Estimation of population mean with a New Imputation Methods, Applied Mathematical Sciences, 9(34), 1663-1672, 2015.
- Kadilar, C. and Cingi, H. Estimators for the population mean in the case of missing data, Communications in Statistics- Theory and Methods, 37, 2226-2236, 2008.
- Kalton, G., Kasprzyk, D. and Santos, R. Issues of non-response and imputation in the Survey of Income and Program Participation. Current Topics in Survey Sampling, (D. Krewski, R. Platek and J.N.K. Rao, eds.), 455-480, Academic Press, New York, 1981.
- Lee, H., Rancourt, E. and Sarndal,C. E. Experiments with variance estimation from survey data with imputed values, Journal of official Statistics, 10(3), 231-243, 1994.
- Lee, H., Rancourt, E. and Sarndal,C. E. Variance estimation in the presence of imputed data for the generalized estimation system. Proceeding of the American Statistical Association (Survey Research Methods Section of the American Statistical Association (ASA) ), 384-389, 1995.
- Murthy, M. N. Sampling theory and methods, Calcutta, India: Statistical Publishing Society, 1967.
- Pandey R. and Yadav K. Mean estimation under imputation based on two-phase sampling design using an auxiliary variable, Pakistan Journal of Statistics and Operation Research, XII(4), 639-658, 2016.
- Rubin D.B. Inference and missing data, Biometrica, 63, 581-593, 1976 .
- Sande I. G. A personal view of hot deck approach to automatic edit and imputation. Journal Imputation Procedures, Survey Methodology, 5, 238-246, 1979.
- Singh, S. and Horn, S. Compromised imputation in survey sampling, Metrika, 51, 266-276, 2000.
- Singh, S., Deo, B. Imputation by power transformation, Statistical Papers, 44, 555-579, 2003.
- Singh, S. A new method of imputation in survey sampling, Statistics, 43(5), 499-511, 2009.
- Singh, G. N. and Karna, J. P. Some imputation methods to minimize the effect of non response in two-occasion rotation patterns, Communications in Statistics-Theory and Methods, 39(18), 3264-3281, 2010.
- Thakur N.S., Yadav K. and Pathak S. Estimation of mean in presence of missing data under two-phase sampling scheme, Journal of Reliability and Statistical Studies, 4(2), 93-104, 2011.
- Thakur N.S., and Pathak S. Some imputation methods in double sampling scheme for estimation of population mean, International Journal of Modern Engineering Research, 2(1), 200-207, 2012.
- Thakur N.S., Yadav K. and Pathak S. On mean estimation with imputation in two-phase sampling. Research Journal of Mathematical and Statistical science, 1(13),1-9, 2013.
- Wang S. G., Chow S. C. Advanced Linear Models: Theory and Applications. New York, Marcel Dekker, Inc, 1994.
On the use of imputation methods for missing data in estimation of population mean under two-phase sampling design
Yıl 2018,
Cilt: 47 Sayı: 6, 1715 - 1729, 12.12.2018
G. N. Singh
,
S. Suman
Cem Kadilar
Öz
Non-response is an unavoidable feature in sample surveys and it needs to be carefully handled to avoid the biased estimates of population characteristics/parameters. Imputation is one of the latest fascinating methods which is attracting the attention of survey practitioners to deal with the problems of non-response because it makes the survey data complete before the beginning of generating the survey estimates. The present work proposes some new imputation methods to compensate the missing data in two-phase sampling when non-response observed in samples of both the phases. The proposed imputation methods result in chain type estimators of population mean of study variable and the resultant estimators have shown the efficacious performances in terms of producing the more precise estimates. Properties of the proposed estimators are examined with the help of empirical and simulation studies. Results are critically analyzed and suitable recommendations are put forward to the survey practitioners.
Kaynakça
- Ahmed M.S., Al-Titi, O., Al-Rawi, Z. and Abu-Dayyeh, W. Estimation of population mean using different imputation methods, Statistics in Transition, 7(6), 1247-1264, 2006.
- Anderson, T.W. An Introduction to Multivariate Statistical Analysis. John Wiley and Sons, Inc.,New York, 1958.
- Bhushan S. and Pandey P. P. Optimality of ratio type estimation methods for population mean in presence of missing data, Communication in Statistics – Theory and methods, 47(11), 2576-2589, 2018.
- Cochran, W. G. Sampling techniques, New-York, John Wiley and Sons, 1977.
- Diana, G. and Perri, P. F. Improved estimators of the population mean for misssing data, Communications in Statistics- Theory and Methods, 39, 3245-3251, 2010.
- Gira, Abdeltawab A. Estimation of population mean with a New Imputation Methods, Applied Mathematical Sciences, 9(34), 1663-1672, 2015.
- Kadilar, C. and Cingi, H. Estimators for the population mean in the case of missing data, Communications in Statistics- Theory and Methods, 37, 2226-2236, 2008.
- Kalton, G., Kasprzyk, D. and Santos, R. Issues of non-response and imputation in the Survey of Income and Program Participation. Current Topics in Survey Sampling, (D. Krewski, R. Platek and J.N.K. Rao, eds.), 455-480, Academic Press, New York, 1981.
- Lee, H., Rancourt, E. and Sarndal,C. E. Experiments with variance estimation from survey data with imputed values, Journal of official Statistics, 10(3), 231-243, 1994.
- Lee, H., Rancourt, E. and Sarndal,C. E. Variance estimation in the presence of imputed data for the generalized estimation system. Proceeding of the American Statistical Association (Survey Research Methods Section of the American Statistical Association (ASA) ), 384-389, 1995.
- Murthy, M. N. Sampling theory and methods, Calcutta, India: Statistical Publishing Society, 1967.
- Pandey R. and Yadav K. Mean estimation under imputation based on two-phase sampling design using an auxiliary variable, Pakistan Journal of Statistics and Operation Research, XII(4), 639-658, 2016.
- Rubin D.B. Inference and missing data, Biometrica, 63, 581-593, 1976 .
- Sande I. G. A personal view of hot deck approach to automatic edit and imputation. Journal Imputation Procedures, Survey Methodology, 5, 238-246, 1979.
- Singh, S. and Horn, S. Compromised imputation in survey sampling, Metrika, 51, 266-276, 2000.
- Singh, S., Deo, B. Imputation by power transformation, Statistical Papers, 44, 555-579, 2003.
- Singh, S. A new method of imputation in survey sampling, Statistics, 43(5), 499-511, 2009.
- Singh, G. N. and Karna, J. P. Some imputation methods to minimize the effect of non response in two-occasion rotation patterns, Communications in Statistics-Theory and Methods, 39(18), 3264-3281, 2010.
- Thakur N.S., Yadav K. and Pathak S. Estimation of mean in presence of missing data under two-phase sampling scheme, Journal of Reliability and Statistical Studies, 4(2), 93-104, 2011.
- Thakur N.S., and Pathak S. Some imputation methods in double sampling scheme for estimation of population mean, International Journal of Modern Engineering Research, 2(1), 200-207, 2012.
- Thakur N.S., Yadav K. and Pathak S. On mean estimation with imputation in two-phase sampling. Research Journal of Mathematical and Statistical science, 1(13),1-9, 2013.
- Wang S. G., Chow S. C. Advanced Linear Models: Theory and Applications. New York, Marcel Dekker, Inc, 1994.