Gage Repeatability And Reproducibility Data Sheet Variable Data Results Gage Repeatability And Reproducibility Data Sheet
Gage Repeatability And Reproducibility Data Sheet Variable Data Results
Part Number Gage Name Appraiser A Part Number Gage Name Appraiser A
7530 mic 0-50 A optr #REF! mic 0-50
Part Name Gage Number Appraiser B Part Name Gage Number Appraiser B
#REF! B Line #REF!
Characteristic Specification Gage Type Appraiser C Characteristic Gage Type Appraiser C
OD 10.6 10.4 Varibalbe C Final OD Varibalbe
Characteristic Classification Trials Parts Appraisers Date Performed Characteristic Classification Trials Parts Appraisers Date Performed
3 10 3 3 10 3
APPRAISER/ PART AVERAGE Measurement Unit Analysis % Tolerance (Tol)
TRIAL # 1 2 3 4 5 6 7 8 9 10 Repeatability - Equipment Variation (EV)
1. A 1 10.40 10.45 10.40 10.50 10.55 10.60 10.50 10.40 10.60 10.55 10.495 EV = x K1 Trials K1 % EV = 100 (EV/Tol)
2 2 10.40 10.45 10.40 10.50 10.55 10.60 10.50 10.40 10.60 10.55 10.495 = 0.000 x 3.05 2 4.56 = 100(0.000/0.200)
3 3 10.40 10.45 10.40 10.50 10.55 10.60 10.50 10.40 10.60 10.55 10.495 = 0.000 3 3.05 = 0.00
4 AVE 10.40 10.45 10.40 10.50 10.55 10.60 10.50 10.40 10.60 10.55 xa= 10.495 Reproducibility - Appraiser Variation (AV)
5 R 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 ra = 0.000 AV = {( DIFF x K2)2 - (EV2/nr)} % AV = 100 (AV/Tol)
6. B 1 10.40 10.45 10.40 10.50 10.55 10.60 10.50 10.40 10.60 10.55 10.495 = {(0.000 x 2.7)^2 - (0.000 ^2/(10 x 3))}^1/2 = 100(0.000/0.200)
7 2 10.40 10.45 10.40 10.50 10.55 10.60 10.50 10.40 10.60 10.55 10.495 = 0.000 Appraisers 2 3 = 0.00
8 3 10.40 10.45 10.40 10.50 10.55 10.60 10.50 10.40 10.60 10.55 10.495 K2 3.65 2.70 n = number of parts
9 AVE 10.40 10.45 10.40 10.50 10.55 10.60 10.50 10.40 10.60 10.55 xb= 10.495 Repeatability & Reproducibility (R & R) r = number of trials
10 R 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 rb= 0.000 R&R = {(EV2 + AV2)} Parts K3
11. C 1 10.40 10.45 10.40 10.50 10.55 10.60 10.50 10.40 10.60 10.55 10.495 = {(0.000^2 + 0.000^2)}^1/2 2 3.65 % R&R = 100 (R&R/Tol)
12 2 10.40 10.45 10.40 10.50 10.55 10.60 10.50 10.40 10.60 10.55 10.495 = 0.000 3 2.70 = 100(0.000/0.200)
13 3 10.40 10.45 10.40 10.50 10.55 10.60 10.50 10.40 10.60 10.55 10.495 Part Variation (PV) 4 2.30 = 0.00
14 AVE 10.40 10.45 10.40 10.50 10.55 10.60 10.50 10.40 10.60 10.55 xc= 10.495 PV = RP x K3 5 2.08 Gage system O.K
15 R 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 rc = 0.000 = 0.200 x 1.62 6 1.93
16. PART = 10.495 = 0.324 7 1.82 % PV = 100 (PV/Tol)
AVE ( Xp ) 10.40 10.45 10.40 10.50 10.55 10.60 10.50 10.40 10.60 10.55 Rp= 0.200 Tolerance 8 1.74 = 100(0.324/0.000)
17 (ra + rb + rc) / (# OF APPRAISERS) = = 0.000 Tol = Upper - Lower 9 1.67 = 162.00
18 (Max x - Min x) = xDIFF= 0.000 = 10.6 - 10.4 10 1.62
19 x D4* = UCLR= 0.000 = 0.200
20 x D3* = LCLR= 0.000
R ̿ All calculations are based upon predicting 5.15 sigma (99.0% of the area under the normal distribution curve).
* D4 =3.27 for 2 trials and 2.58 for 3 trials; D3 = 0 for up to 7 trials. UCLR represents the limit of individual R's. Circle those that are K1 is 5.15/d2, where d2 is dependent on the number of trials (m) and the number if parts times the number of operators (g) which is
beyond this limit. Identify the cause and correct. Repeat these readings using the same appraiser and unit as originally used or dis- assumed to be greater than 15.
card values and re-average and recompute R and the limiting value from the remaining observations. AV - If a negative value is calculated under the square root sign, the appraiser variation (AV) defaults to zero (0).
K2 is 5.15/d2, where d2 is dependent on the number of operators (m) and (g) is 1, since there is only one range calculation.
K2 is 5.15/d2, where d2 is dependent on the number of parts (m) and (g) is 1, since there is only one range calculation.
d2 is obtained from Table D3, "Quality Control and Industrial Statistics", A.J. Duncan.
