1. Data Entry & Initial Calculations  
  Part      
Appraiser Trial # 1 2 3 4 5 6 7 8 9 10 Average
A
A 2
A 3
A Average $\bar{X_a}$
A Range $\bar{R_a}$
B 1
B 2
B 3
B Average $\bar{X_b}$
B Range $\bar{R_b}$
C 1
C 2
C 3
C Average $\bar{X_c}$
C Range $\bar{R_c}$
Part Average $\bar{\bar{X}}$
2. Interim Calculations  
Formula Calculation Value    
Rp, Part Average Range = Max Part Average - Min Part Average - = ${R_p}$
$\frac{\bar{R_a} + \bar{R_b} + \bar{R_c} }{Number\; of\; Appraisers}$ / = $\bar{\bar{R}}$
$Maximum\; \bar{X} - Minimum\; \bar{X}$ - = $\bar{X}_{DIFF}$
$\bar{\bar{R}}\times {D_4}$ (where ${D_4}$ for 3 trials = 2.58) x = ${UCL_R}$
3. Results  
Components of Variation Value % of Total Variation (TV)  
Repeatability, or Equipment Variation (EV)
$\bar{\bar{R}} \times {K_1}$ (where ${K_1}$ for 3 trials = 0.5908) EV
Reproducibility, or Appraiser Variation (AV)
$\sqrt{(\bar{X}_{DIFF} \times {K_2})^2 - \frac{EV^2}{Num\; Parts \times Num\; trials}}$ (where ${K_2}$ for 3 appraisers = 0.5231) AV
Repeatability and Reproducibility (GRR)
$\sqrt{EV^2 + AV^2}$ GRR
Part Variation (PV)
${R_p} \times {K_3}$ (where ${K_3}$ for 10 parts = 0.3146) PV
Total Variation
$\sqrt{GRR^2 + PV^2}$
Number of Distinct Categories
$1.41 \times \sqrt{\frac{PV}{GRR}}$ ndc