New ratio estimators to estimated population mean under stratified sampling with missing data
Main Article Content
Abstract
The ratio estimator is commonly used to estimate the population mean of study variables. When knowing the information of the auxiliary variable which had a positive correlation with the study variable. The estimators proposed by the researcher were considered under the condition that the study variable in each stratum is non-response by unit non-response and missing completely at a random mechanism. The researcher used relative root mean square error to compare the efficiency of the proposed estimators. The results showed that the new ratio estimator is more efficient than the list wise deletion ratio estimator because the new ratio estimator is weighted by the probability of response then this estimator is an almost unbiased estimator.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Published manuscript are the rights of their original owners and RMUTSB Academic Journal. The manuscript content belongs to the authors' idea, it is not the opinion of the journal's committee and not the responsibility of Rajamangala University of Technology Suvarnabhumi
References
Bacanli, S., & Kadilar, C. (2008). Ratio estimators with unequal probability designs. Pakistan Journal of Statistics, 24(3), 167-172.
Cochran, W. G. (1977). Sampling techniques (3rd ed.). New York: John Wiley & Sons.
Dansawad, N. (2020). Ratio-cum-product type of exponential estimator for the population mean in simple random sampling using the information of auxiliary variable. Burapha Science Journal, 25(2), 563-577. (in Thai)
Horvitz, D. F., & Thompson, D. J. (1952). A generalization of sampling without replacement from a finite universe. Journal of the American Statistical Association, 47(260), 663-685.
Ponkaew, C., & Lawson, N. (2018). A new ratio estimator for population total in the presence of nonresponse under unequal probability sampling without replacement. Thai Journal of Mathematics, 2018(Special issue: ACFPTO2018), 417-429.
Sarndal, C. E., & Lundstorm, S. (2005). Estimation in surveys with nonresponse. New York: John Wiley & Sons.
Singh, H. P., & Kakran, M. S. (1993). A modified ratio estimator using known coefficient of kurtosis of an auxiliary character. (Unpublished manuscript).
Sisodia, B. V. S., & Dwivedi, V. K. (1981). A modified ratio estimator using coefficient of variation of auxiliary variable. Journal-Indian Society of Agricultural Statistics, 33, 13-18.
Tailor, R., & Lone, H. A. (2014). Separate ratio-type estimators of population mean in stratified random sampling, Journal of Modern Applied Statistical Method, 13(1), 223-233.
Upadhyaya, L. N., & Singh, H. P. (1999). Use of transformed auxiliary variable in estimating the finite population mean. Biometrical Journal, 41(5), 627-636.