TITLE:
Estimation of Population Ratio in Post-Stratified Sampling Using Variable Transformation
AUTHORS:
Aloy Chijioke Onyeka, Chinyeaka Hostensia Izunobi, Iheanyi Sylvester Iwueze
KEYWORDS:
Variable Transformation, Combined-Type Estimator, Ratio, Product and Regression-Type Estimators, Mean Squared Error
JOURNAL NAME:
Open Journal of Statistics,
Vol.5 No.1,
January
20,
2015
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.