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# ANAVAR Method

To calculate the GRR and Cpc by using the ANAVAR method, the statistical analyses of the Fisher test are used:

 Source variability Sum of squares Degree of freedom Average of squares F statistic Operator SSA a-1 Parts SSB b-1 Interaction (Operator/part) SSAB (a-1)(b-1) Instrument SSE ab(n-1) Total TSS N-1

a = number of operators

b = number of parts

n = number of repetitions

N = total number of measurements = abn

The repeatability of the measurement system is given by:

$$Repeatability=5.15\sqrt{MSE}$$

The reproducibility of the measurement system is given by:

$$Reproducibility=5.15\sqrt{\frac{MSA-MSAB}{bn}}$$

The interaction is given by:

$$Interaction=5.15\sqrt{\frac{MSAB-MSE}{n}}$$

The variability of the measurement system is given by

$$Measurement \, dispersion=\sqrt{Repeatability^2+Reproducibility^2+Interaction^2}$$

Final calculation:

$$Cpc=\frac{IT}{Measurement \, dispersion}$$

and

$$GRR=\frac{Measurement \, dispersion}{IT}$$