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




