APPRAISER/ | PART | AVERAGE | | | | Measurement Unit Analysis | | | | % Total Variation (TV) |
TRIAL # | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | | | Repeatability - Equipment Variation (EV) | | | | | | |
1. A | 1 | 5.165 | 5.166 | 5.165 | 5.167 | 5.166 | 5.165 | 5.166 | 5.167 | 5.166 | 5.165 | | 5.166 | EV | = | R x K1 | | Trials | K1 | % EV | = | 100 (EV/TV) |
2. | 2 | 5.166 | 5.165 | 5.167 | 5.166 | 5.165 | 5.166 | 5.167 | 5.165 | 5.167 | 5.166 | | 5.166 | | = | 0.002 x 0.5908 | | 2 | 0.8862 | | = | 100(0.001/0.001) |
3. | 3 | 5.165 | 5.167 | 5.165 | 5.166 | 5.167 | 5.165 | 5.165 | 5.166 | 5.165 | 5.166 | | 5.166 | | = | 0.001 | | | 3 | 0.5908 | | = | 98.77 | |
4. | AVE | 5.165 | 5.166 | 5.166 | 5.166 | 5.166 | 5.165 | 5.166 | 5.166 | 5.166 | 5.166 | xa= | 5.166 | Reproducibility - Appraiser Variation (AV) | | | | | |
5. | R | 0.001 | 0.002 | 0.002 | 0.001 | 0.002 | 0.001 | 0.002 | 0.002 | 0.002 | 0.001 | ra= | 0.002 | AV | = | {(xDIFF x K2)2 - (EV2/nr)}1/2 | | | % AV | = | 100 (AV/TV) |
6. B | 1 | 5.166 | 5.167 | 5.167 | 5.166 | 5.167 | 5.166 | 5.165 | 5.166 | 5.165 | 5.166 | | 5.166 | | = | {(0.00 x 0.5231)^2 - (0.00 ^2/(10 x 3))}^1/2 | | = | 100(0.000/0.001) |
7. | 2 | 5.165 | 5.166 | 5.167 | 5.166 | 5.168 | 5.165 | 5.165 | 5.167 | 5.164 | 5.165 | | 5.166 | | = | 0.000 | | | | | | = | 4.59 | |
8. | 3 | 5.167 | 5.166 | 5.165 | 5.167 | 5.165 | 5.166 | 5.167 | 5.166 | 5.166 | 5.167 | | 5.166 | | | | | Appraisers | 2 | 3 | | | | |
9. | AVE | 5.166 | 5.166 | 5.166 | 5.166 | 5.167 | 5.166 | 5.166 | 5.166 | 5.165 | 5.166 | xb= | 5.166 | n = parts r = trials | K2 | 0.7071 | 0.5231 | | | | |
10. | R | 0.002 | 0.001 | 0.002 | 0.001 | 0.003 | 0.001 | 0.002 | 0.001 | 0.002 | 0.002 | rb= | 0.002 | Repeatability & Reproducibility (GRR) | | | % GRR | = | 100 (GRR/TV) |
11. C | 1 | 5.166 | 5.166 | 5.165 | 5.166 | 5.165 | 5.167 | 5.166 | 5.165 | 5.165 | 5.166 | | 5.166 | GRR | = | {(EV2 + AV2)}1/2 | | Parts | K3 | | = | 100(0.001/0.001) |
12. | 2 | 5.165 | 5.165 | 5.166 | 5.165 | 5.165 | 5.166 | 5.165 | 5.166 | 5.167 | 5.166 | | 5.166 | | = | {(0.001^2 + 0.000^2)}^1/2 | 2 | 0.7071 | | = | 98.88 | |
13. | 3 | 5.166 | 5.166 | 5.167 | 5.165 | 5.166 | 5.165 | 5.167 | 5.166 | 5.165 | 5.165 | | 5.166 | | = | 0.001 | | | 3 | 0.5231 | Gage system needs improvement |
14. | AVE | 5.166 | 5.166 | 5.166 | 5.165 | 5.165 | 5.166 | 5.166 | 5.166 | 5.166 | 5.166 | xc= | 5.166 | Part Variation (PV) | | | 4 | 0.4467 | | | | |
15. | R | 0.001 | 0.001 | 0.002 | 0.001 | 0.001 | 0.002 | 0.002 | 0.001 | 0.002 | 0.001 | rc= | 0.001 | PV | = | RP x K3 | | | 5 | 0.4030 | % PV | = | 100 (PV/TV) |
16. PART | | | | | | | | | | | X= | 5.166 | | = | 0.000 x 0.3146 | | 6 | 0.3742 | | = | 100(0.000/0.001) |
AVERAGE | 5.166 | 5.166 | 5.166 | 5.166 | 5.166 | 5.166 | 5.166 | 5.166 | 5.166 | 5.166 | Rp= | 0.000 | | = | 0.000 | | | 7 | 0.3534 | | = | 14.92 | |
17. | (ra + rb + rc) / (# OF APPRAISERS) = | | | | | | R= | 0.002 | Total Variation (TV) | | | 8 | 0.3375 | | | | |
18. | xDIFF = (Max x - Min x) = | | | | | | | | xDIFF= | 0.000 | TV | = | {(GRR2 + PV2)}1/2 | | 9 | 0.3249 | ndc | = | 1.41(PV/GRR) |
19. | * UCLR = R x D4 = | | | | | | | | | | | UCLR= | 0.004 | | = | {(0.001^2 + 0.000^2)}^1/2 | 10 | 0.3146 | | = | 1.41(0.000/0.001) |
| | | | | | | | | | | | | | | = | 0.001 | | | | | | = | 0 | |
* D4 =3.27 for 2 trials and 2.58 for 3 trials. UCLR represents the limit of individual R's. Circle those that are | | | | | | | | | | Gage discrimination low |
beyond this limit. Identify the cause and correct. Repeat these readings using the same appraiser and unit as originally used or | | | | | | | | | | | |
discard values and re-average and recompute R and the limiting value from the remaining observations. | | | For information on the theory and constants used in the form see MSA Reference Manual, Fourth edition. |