BazEkon - Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie

BazEkon home page

Meny główne

Autor
Thakur Narendra Singh (Govt. Adarsh Girls College, Sheopur (M.P.), India), Shukla Diwakar (Dr. Harisingh Gour Central University)
Tytuł
Missing Data Estimation Based on the Chaining Technique in Survey Sampling
Źródło
Statistics in Transition, 2022, vol. 23, nr 4, s. 91-111, aneks, tab., bibliogr. 41 poz.
Słowa kluczowe
Estymacja, Estymatory, Badania statystyczne
Estimation, Estimators, Statistical surveys
Uwagi
summ.
Mathematical Subject Code: 62D05
Abstrakt
Sample surveys are often affected by missing observations and non-response caused by the respondents' refusal or unwillingness to provide the requested information or due to their memory failure. In order to substitute the missing data, a procedure called imputation is applied, which uses the available data as a tool for the replacement of the missing values. Two auxiliary variables create a chain which is used to substitute the missing part of the sample. The aim of the paper is to present the application of the Chain-type factor estimator as a means of source imputation for the non-response units in an incomplete sample. The proposed strategies were found to be more efficient and bias-controllable than similar estimation procedures described in the relevant literature. These techniques could also be made nearly unbiased in relation to other selected parametric values. The findings are supported by a numerical study involving the use of a dataset, proving that the proposed techniques outperform other similar ones. (original abstract)
Dostępne w
Biblioteka Główna Uniwersytetu Ekonomicznego w Krakowie
Biblioteka SGH im. Profesora Andrzeja Grodka
Biblioteka Główna Uniwersytetu Ekonomicznego w Katowicach
Pełny tekst
Pokaż
Bibliografia
Pokaż
  1. Ahmed, M. S., Al-Titi, O., Al-Rawi, Z. and Abu-Dayyeh, W., (2006). Estimation of a population mean using different imputation methods. Statistics in Transition, 7, 6, pp. 1247-1264.
  2. Al-Jararha, J., Ahmed, M. S., (2002). The class of chain estimators for a finite population variance using double sampling. Information and Management Sciences, 13(2), pp. 13-18.
  3. Bhaskaran, K., Smeeth, L., (2014). What is the difference between missing completely at random and missing at random? International Journal of Epidemiology, 43(4), pp. 1336-1339.
  4. Bose, C., (1943). Note on the sampling error in the method of double sampling. Sankhya, 6, 330.
  5. Chand, L., (1975). Some ratio-type estimators based on two or more auxiliary variables unpublished Ph.D. Thesis, IOWA State University, Ames, Iowa, U.S.A.
  6. Choudhury, S., Singh, B. K., (2012). A class of chain ratio-cum-dual to ratio type estimator with two auxiliary characters under double sampling in sample surveys. Statistics in Transition-new series, 13(3), pp. 519-536.
  7. Cochran, W. G., (2005). Sampling Techniques. John Wiley and Sons, New York.
  8. Doretti, M., Geneletti, S. and Stanghellini, E., (2018). Missing data: A unified taxonomy guided by conditional independence. International Statistical Review, 86(2), pp. 189-204.
  9. Heitjan, D. F., Basu, S., (1996). Distinguishing 'missing at random' and 'missing completely at random'. The American Statistician, 50, pp. 207-213.
  10. Kadilar, C., Cingi, H., (2003). A study on the chain ratio-type estimator. Hacettepe Journal of Mathematics and Statistics, 32, pp. 105-108.
  11. Kiregyera, B., (1980). A chain ratio-type estimator in finite population double sampling using two auxiliary variables. Metrika, 27 (1), pp. 217-223.
  12. Kiregyera, B., (1984). Regression type estimators using two auxiliary variables and the model of double sampling from finite population. Metrika, 31, pp. 215-226.
  13. Kumar, M., Bahl, S., (2006). Class of dual to ratio estimators for double sampling. Statistical Papers, 47, pp. 319-326.
  14. Little, R. J. A., Rubin, D. B., (1987). Statistical analysis with missing data, New York: John Wiley & Sons, Inc.
  15. Pandey, R., Thakur, N. S. and Yadav, K., (2016). Adapted factor-type imputation strategies. Journal of Scientific Research, J. Sci. Res., 8(3), pp. 321-339.
  16. Pandey, R., Thakur, N. S. and Yadav, K., (2015). Estimation of population mean using exponential ratio type imputation method under survey non-response. Journal of the Indian Statistical Association, Vol.53 No. 1 & 2, pp. 89-107.
  17. Pradhan, B. K., (2005). A chain regression estimator in two phase sampling using multiauxiliary information. Bulletin of the Malaysian Mathematical Sciences Society (2), 28(1), pp. 81-86.
  18. Rao, J. N. K., Sitter, R. R., (1995). Variance estimation under two-phase sampling with application to imputation for missing data. Biometrika, 82, pp. 453-460.
  19. Reddy, V. N., (1978). A study on the use of prior knowledge on certain population parameters in estimation. Sankhya, C, 40, pp. 29-37.
  20. Rubin, D. B., (1976). Inference and missing data. Biometrika, 63, pp. 581-593.
  21. Seaman, S., Galati, J., Jackson, D. and Carlin, J., (2013). What is meant by "Missing at Random"? Statistical Science, 28(2), pp. 257-268.
  22. Sharma, B., Tailor, R., (2010). A new ratio-cum-dual to ratio estimator of finite population mean in simple random sampling. Global Journal of Science Frontier Research, 10(1), pp. 27-31.
  23. Shukla, D., (2002). F-T estimator under two-phase sampling. Metron, 59, 1-2, pp. 253- 263.
  24. Shukla, D., Thakur, N. S., Pathak, S. and Rajput, D. S., (2009). Estimation of mean under imputation of missing data using factor type estimator in two-phase sampling. Statistics in Transition, Vol. 10, No. 3, pp. 397-414.
  25. Shukla, D., Thakur, N. S., (2008). Estimation of mean with imputation of missing data Using Factor Type Estimator. Statistics in Transition, 9, 1, pp. 33-48
  26. Shukla, D., Singh, V. K. and Singh, G. N., (1991). On the use of transformation in factor type estimator. Metron, 49(1-4), pp. 359-361.
  27. Singh, H. P., Espejo, M. R., (2007). Double sampling ratio-product estimator of a finite population mean in sampling surveys. Journal of Applied Statistics, 34(1), pp. 71- 85.
  28. Singh, H. P., Mathur, N. and Chandra, P., (2009). A chain-type estimator for population variance using auxiliary variables in two-phase sampling. Statistics in Transitionnew series, 10(1), pp. 75-84.
  29. Singh, S., Horn, S., (2000). Compromised imputation in survey sampling. Metrika, 51, pp. 266-276.
  30. Singh, S., Singh, H. P. and Upadhyaya, L. N., (2006). Chain ratio and regression type estimators for median estimation in survey sampling. Statistical Papers, 48, pp. 23- 46.
  31. Singh, V. K., Shukla, D., (1987). One parameter family of factor-type ratio estimator. Metron, 45, 1-2, pp. 273-283.
  32. Singh, V. K., Shukla, D., (1993). An efficient one parameter family of factor - type estimator in sample survey. Metron, 51, 1-2, pp. 139-159.
  33. Singh, V. K., Singh, G. N., (1991). Chain type estimator with two auxiliary variables under double sampling scheme. Metron, 49, pp. 279-289.
  34. Singh, V. K., Singh, B. K. and Singh, G. N., (1993). An efficient class of dual to ratio estimators using two auxiliary characteristics. Journal of Scientific Research, 43, pp. 219-228.
  35. Singh, V. K., Singh, G. N. and Shukla, D., (1994). A class of chain ratio estimator with two auxiliary variables under double sampling scheme. Sankhya, Ser. B., 46, 2, pp. 209-221.
  36. Srivastava, S. K., Jhajj, H. S., (1980). A class of estimators using auxiliary information for estimating finite population variance. Sankhya, 42, pp. 87-96.
  37. Srivastava, S. R., Khare, B. B. and Srivastava, S. R., (1990). A generalized chain ratio estimator for mean of finite population. Journal of Indian Society of Agricultural Statistics, 42(I), pp. 108-117.
  38. Srivenkataramana, T., (1980). A dual to ratio estimator in sample surveys. Biometrika, 67(1), pp. 199-204.
  39. Sukhatme, B. V., Chand, L., (1977). Multivariate ratio-type estimators, Proceeding of American Statistical Association. Social Statistics Section, pp. 927-931.
  40. Sukhatme, P. V., Sukhatme, B. V., Sukhatme, S. and Ashok, C., (1984). Sampling Theory of Surveys with Applications. Iowa State University Press, I.S.A.S. Publication, New Delhi.
  41. Weeks, M., (1999). Methods of imputation for missing data (fifth draft), Faculty of Economics and Politics and Department of Applied Econometrics. University of Cambridge, Cambridge, UK.
Cytowane przez
Pokaż
ISSN
1234-7655
Język
eng
URI / DOI
http://dx.doi.org/10.2478/stattrans-2022-0044
Udostępnij na Facebooku Udostępnij na Twitterze Udostępnij na Google+ Udostępnij na Pinterest Udostępnij na LinkedIn Wyślij znajomemu