Ratio Estimation

 

1. Background

Ratio estimation is not a sampling technique.

It is a statistical technique that can be applied for different sampling methods.

A ratio is defined as R= Y/X, where both Y and X are random variables; and r= y/x is a sample statistic.

2. Important Theorem

2.1. r is a biased estimator.

2.2 Variance of r is given as:

Assuming n is large, the bias is negligible for calculation.

Hence,

The computational formula is

Summary of Main results

Quantities
Parameter
Estimator
Variance
Ratio
Mean
Total