Estimation of Population Ratio in Post-Stratified Sampling Using Variable Transformation

Aloy Chijioke Onyeka, Chinyeaka Hostensia Izunobi, Iheanyi Sylvester Iwueze

Department of Statistics, Federal University of Technology, Owerri, Nigeria.

DOI: 10.4236/ojs.2015.51001                

Abstract

Extending the work carried out by [1], this paper proposes six combined-type estimators of population ratio of two variables in post-stratified sampling scheme, using variable transformation. Properties of the proposed estimators were obtained up to first order approximations,(on–¹), both for achieved sample configurations (conditional argument) and over repeated samples of fixed size n (unconditional argument). Efficiency conditions were obtained. Under these conditions the proposed combined-type estimators would perform better than the associated customary combined-type estimator. Furthermore, optimum estimators among the proposed combined-type estimators were obtained both under the conditional and unconditional arguments. An empirical work confirmed the theoretical results.

Keywords

Variable Transformation, Combined-Type Estimator, Ratio, Product and Regression-Type Estimators, Mean Squared Error

Conflicts of Interest

The authors declare no conflicts of interest.

References

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