Gage R&R Study — Two-way ANOVA (Crossed)

Enter number of parts, operators, repetitions and paste measurements for each Part×Operator cell (values comma-separated). The tool runs ANOVA, estimates variance components, GRR, % contribution and ndc.

Format example for 3 parts × 2 operators × 2 reps (p=3,o=2,r=2):

Notes

• This tool assumes a crossed study: all operators measure all parts, with r repeated measurements per Part×Operator cell.
• Variance components estimated by method-of-moments from ANOVA mean-squares:

  σ²_e = MSE
  σ²_po = max(0,(MS_PO - MSE)/r)
  σ²_p  = max(0,(MS_P  - MS_PO)/(o*r))
  σ²_o  = max(0,(MS_O  - MS_PO)/(p*r))

• GRR includes repeatability (EV), reproducibility (AV), and interaction (IOV): GRR = sqrt(EV² + AV² + IOV²).