跳至主要内容

A New Regression Type Estimator with Two Auxiliary Variables for Single-Phase Sampling

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=50989#.VFHP-VfHRK0

In this paper, we have proposed an estimator of finite population mean using a new regression type estimator with two auxiliary variables for single-phase sampling and investigated its finite sample properties. An empirical study has been carried out to compare the performance of the proposed estimator with the existing estimators that utilize auxiliary variables for finite population mean. It has been found that the new regression type estimator with two auxiliary variables for to be more efficient than mean per unit, ratio and product estimator and exponential ratio and exponential product estimators and exponential ratio-product estimator.
Cite this paper
Tum, E. , Kung’u, J. and Odongo, L. (2014) A New Regression Type Estimator with Two Auxiliary Variables for Single-Phase Sampling. Open Journal of Statistics, 4, 789-796. doi: 10.4236/ojs.2014.49074
 

[1] Neyman, J. (1938) Contribution to the Theory of Sampling Human Populations. Journal of the American Statistical Association, 33, 101-116.
http://dx.doi.org/10.1080/01621459.1938.10503378
[2] Cochran, W.G. (1940) The Estimation of the Yields of the Cereal Experiments by Sampling for the Ratio of Grain to Total Produce. Journal of Agricultural Science, 30, 262-275.
http://dx.doi.org/10.1017/S0021859600048012
[3] Watson, D.J. (1937) The Estimation of Leaf Areas. Journal of Agricultural Science, 27, 474.
http://dx.doi.org/10.1017/S002185960005173X
[4] Olikin, I. (1958) Multivariate Ratio Estimation for Finite Population. Biometrika, 45, 154-165.
http://dx.doi.org/10.1093/biomet/45.1-2.154
[5] Raj, D. (1965) On a Method of Using Multi-Auxiliary Information in Sample Surveys. Journals of the American Statistical Association, 60, 154-165.
http://dx.doi.org/10.1080/01621459.1965.10480789
[6] Singh, M.P. (1967) Ratio-Cum-Product Method of Estimation. Metrika, 12, 34-42.
http://dx.doi.org/10.1007/BF02613481
[7] Robson, D.S. (1952) Multiple Sampling of Attributes. Journal of the American Statistical Association, 47, 203-215.
http://dx.doi.org/10.1080/01621459.1952.10501164
[8] Ahmad, Z. (2008) Generalized Multivariate Ratio and Regression Estimators for Multi-Phase Sampling. Unpublished Ph.D. Thesis, National College of Business Administration and Economics, Lahore.
[9] Zahoor, A., Muhhamad, H. and Munir, A. (2009) Generalized Regression-Cum-Ratio Estimators for Two Phase Sampling Using Multiple Auxiliary Variables. Pakistan Journal of Statistics, 25, 93-106.
[10] Jhajj, H.S., Sharma, M.K. and Grover, L.K. (2006) A Family of Estimator of Population Mean Using Information on Auxiliary Attributes. Pakistan Journal of Statistics, 22, 43-50.
[11] Naik, V.D. and Gupta, P.C. (1996) A Note on Estimation of Mean with Known Population of Auxiliary Character. Journal of the Indian Society of Agricultural Statistics, 48, 151-158.
[12] Bahl, S. and Tuteja, R.K. (1991) Ratio and Product Type Estimator. Information and Optimization Sciences, 12, 159-163.
[13] Hanif, M., Haq, I.U. and Shahbaz, M.Q. (2009) On a New Family of Estimator Using Multiple Auxiliary Attributes. World Applied Science Journal, 11, 1419-1422.
[14] Kung’u, J. and Odongo, L. (2014) Ratio-Cum-Product Estimator Using Multiple Auxiliary Attributes in Single Phase Sampling. Open Journal of Statistics, 4, 239-245.
http://dx.doi.org/10.4236/ojs.2014.44023
[15] Kung’u, J. and Odongo, L. (2014) Ratio-Cum-Product Estimator Using Multiple Auxiliary Attributes in Two-Phase Sampling. Open Journal of Statistics, 4, 246-257.
http://dx.doi.org/10.4236/ojs.2014.44024
[16] Moeen, M., Shahbaz, Q. and Hanif, M. (2012) Mixture Ratio and Regression Estimators Using Multi-Auxiliary Variable and Attributes in Single Phase Sampling. World Applied Sciences Journal, 18, 1518-1526.
[17] Simiuddin, M. and Hanif, M. (2007) Estimation of Population Mean in Single and Two Phase Sampling with or without Additional Information. Pakistan Journal of Statistics, 23, 99-118.
[18] Arora, S. and Lal, B. (1989) New Mathematical Statistics. Satya Prakashan, New Delhi.
[19] Johnson, R.W. (1996) Fitting Percentage of Body Fat to Simple Body Measurements. Journal of Education, 4.                   eww141030lx

评论

此博客中的热门博文

A Comparison of Methods Used to Determine the Oleic/Linoleic Acid Ratio in Cultivated Peanut (Arachis hypogaea L.)

Cultivated peanut ( Arachis hypogaea L.) is an important oil and food crop. It is also a cheap source of protein, a good source of essential vitamins and minerals, and a component of many food products. The fatty acid composition of peanuts has become increasingly important with the realization that oleic acid content significantly affects the development of rancidity. And oil content of peanuts significantly affects flavor and shelf-life. Early generation screening of breeding lines for high oleic acid content greatly increases the efficiency of developing new peanut varieties. The objective of this study was to compare the accuracy of methods used to classify individual peanut seed as high oleic or not high oleic. Three hundred and seventy-four (374) seeds, spanning twenty-three (23) genotypes varying in oil composition (i.e. high oleic (H) or normal/not high oleic (NH) inclusive of all four peanut market-types (runner, Spanish, Valencia and Virginia), were individually tested ...

Location Optimization of a Coal Power Plant to Balance Costs against Plant’s Emission Exposure

Fuel and its delivery cost comprise the biggest expense in coal power plant operations. Delivery of electricity from generation to consumers requires investment in power lines and transmission grids. Placing a coal power plant or multiple power plants near dense population centers can lower transmission costs. If a coalmine is nearby, transportation costs can also be reduced. However, emissions from coal plants play a key role in worsening health crises in many countries. And coal upon combustion produces CO 2 , SO 2 , NO x , CO, Metallic and Particle Matter (PM10 & PM2.5). The presence of these chemical compounds in the atmosphere in close vicinity to humans, livestock, and agriculture carries detrimental health consequences. The goal of the research was to develop a methodology to minimize the public’s exposure to harmful emissions from coal power plants while maintaining minimal operational costs related to electric distribution losses and coal logistics. The objective was...

Evaluation of the Safety and Efficacy of Continuous Use of a Home-Use High-Frequency Facial Treatment Appliance

At present, many home-use beauty devices are available in the market. In particular, many products developed for facial treatment use light, e.g., a flash lamp or a light-emitting diode (LED). In this study, the safety of 4 weeks’ continuous use of NEWA TM , a high-frequency facial treatment appliance, every alternate day at home was verified, and its efficacy was evaluated in Japanese individuals with healthy skin aged 30 years or older who complained of sagging of the facial skin.  Transepidermal water loss (TEWL), melanin levels, erythema levels, sebum secretion levels, skin color changes and wrinkle improvement in the facial skin were measured before the appliance began to be used (study baseline), at 2 and 4 weeks after it had begun to be used, and at 2 weeks after completion of the 4-week treatment period (6 weeks from the study baseline). In addition, data obtained by subjective evaluation by the subjects themselves on a visual analog scale (VAS) were also analyzed. Fur...