On A Modified Regression-ratio Type Estimator for Homogeneous and Heterogeneous Populations
DOI:
https://doi.org/10.46881/ajsn.v2i1.27Abstract
Ratio estimation improves precision in estimating the population parameters. Many authors have derived regression-ratio type estimators which are only appropriate when the populations are homogeneous. In real life the population is heterogeneous in nature, hence, the need to derive regression-ratio type estimator which will be more appropriate for estimating parameters in both homogeneous and heterogeneous populations. This work proposed a modified regression-ratio type estimator and its statistical properties were obtained for estimating parameters in both homogeneous and heterogeneous population. The data used was collected from the Central Department of Statistics in Ogun state on number of enrolment of students into secondary schools with the corresponding number of teachers in Yewa zone. The mean squared errors (MSEs) of the existing and proposed estimators were determined. The MSEs for the proposed and existing estimators were gotten to be2,165.57 and 83,224,741.13 respectively. The MSEs for proposed estimator were found to be smaller, Hence, more efficient than the existing estimator.References
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