Ratio Estimators in Simple Random Sampling when Study Variable is an Attribute

TL;DR

This paper introduces a new family of estimators for the population mean in simple random sampling when the study variable is qualitative, providing bias and MSE expressions and demonstrating their effectiveness through empirical analysis.

Contribution

It proposes a novel family of ratio estimators tailored for qualitative variables in simple random sampling, with derived bias and MSE formulas and empirical validation.

Findings

The new estimators outperform existing methods in empirical tests.

Bias and MSE expressions are successfully derived for the proposed estimators.

Empirical results confirm the superiority of the new estimators.

Abstract

In this paper we have suggested a family of estimators for the population mean when study variable itself is qualitative in nature. Expressions for the bias and mean square error (MSE) of the suggested family have been obtained. An empirical study has been carried out to show the superiority of the constructed estimator over others.