Scope (F₁)

Frequency (F₂)

Amplitude (F₃)

CCME WQI index

${\text{F}}_1=\left(\frac{\text{Numberoffailedvariables}}{\text{Totalnumberofvariable}}\right)\times 100$

${\text{F}}_2=\left(\frac{\text{Numberoffailedtests}}{\text{Totalnumberoftests}}\right)\times 100$

${\text{F}}_3=\left(\frac{\text{nse}}{0.01\text{nse}+0.01}\right)$

where, ${\text{excursion}}_i=\left(\frac{{\text{Failedtestvalue}}_i}{{\text{Objective}}_j}\right)-1$ Math_17#

$\text{nse}=\frac{{{\displaystyle \sum }}_i^n{\text{excursion}}_i}{\#\text{oftests}}$

$\text{CCMEWQI}=100-\left(\frac{\sqrt{{\text{F}}_1^2+{\text{F}}_2^2+{\text{F}}_3^2}}{1.732}\right)$