MSA-GRR计算方法详细算法
GAGE REPEATABILITY AND REPRODUCIBILITY DATA SHEET - VARIABLE DATA RESULTS
Part Number
Gage Name
Appraiser A
8100-00810
Detent Torque meter
YC LI
Part Name
Gage Number
Appraiser B
DC MOTOR
TG-006
DH XIAO
Characteristic
Specification
Gage Type Appraiser C
Detent torque 07.85/LH ZENG
Characteristic Classification
Trials
Parts
Appraisers
Date Performed
/
3
10307-Jan-06
APPRAISER/PART
AVERAGE
TRIAL #123456789101.A 1 5.2 4.7 5.0 5.0 5.2 5.2 2.9 5.2 5.6 5.4 4.942.2 5.4 4.6 5.0 5.1 5.0 5.1 2.9 5.3 5.5 5.5 4.943.3 5.4 4.9 5.1 4.8 5.3 5.2 3.1 5.3 5.4 5.3 4.98
4.AVE
5.33 4.73 5.03 4.97 5.17 5.17 2.97 5.27 5.50 5.40 a =
4.95
5.R 0.20.30.10.30.30.10.20.10.20.2a =
0.206.B 1 5.2 4.8 5.0 5.1 5.2 5.1 3.1 5.1 5.3 5.6 4.957.2 5.5 4.7 5.2 5.1 5.0 5.2 2.9 5.2 5.6 5.6 5.008.3 5.4 4.8 5.2 4.9 5.3 5.2 3.0 5.4 5.5 5.3 5.00
9.AVE 5.37 4.77 5.13 5.03 5.17 5.17 3.00 5.23 5.47 5.50 b =
4.9810.R 0.30.10.20.20.30.10.20.30.30.3b =
0.2311.C 1 5.2 5.0 5.3 5.2 5.3 5.4 3.0 5.2 5.5 5.3 5.0412.2 5.5 5.0 5.3 5.3 5.2 5.3 3.2 5.3 5.6 5.5 5.1213.3 5.4 5.1 5.4 5.2 5.4 5.1 3.0 5.4 5.5 5.3 5.0814.AVE 5.37 5.03 5.33 5.23 5.30 5.27 3.07 5.30 5.53 5.37 c =
5.0815.
R
0.30.10.10.10.20.30.20.20.10.2c =
0.1816. PART = 5.01AVERAGE 5.36
4.84
5.17
5.08
5.21
5.20
3.01
5.27
5.50
5.42
R p =
2.4917.( a + b + c ) / (# OF APPRAISERS) ==
0.2018.x DIFF = ( Max - Min ) =
DIFF =
0.1319.
*UCL R = x D 4 =UCL R =
0.52
* D 4 =3.27 for 2 trials and 2.58 for 3 trials. UCL R represents the limit of individual R's. Circle those that are
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.Notes:
Prepared by : Date :Doc. No. :Approved by :
Date :
Revision :Level
-0
GRR-AIS29P
YH YU Sherman Wong
07-Jan-0607-Jan-06
GAGE REPEATABILITY AND REPRODUCIBILITY DATA SHEET - VARIABLE DATA RESULTS Part Number Gage Name Appraiser A
8100-00810Detent Torque meter YC LI
Part Name Gage Number Appraiser B
DC MOTOR TG-006DH XIAO
Characteristic Gage Type Appraiser C
Detent torque/LH ZENG
Characteristic Classification Trials Parts Appraisers Date Performed
/310307-Jan-06 Measurement Unit Analysis% Total Variation (TV)
Repeatability - Equipment Variation (EV)
EV= x K
1
Trials K1% EV=100 (EV/TV) =0.203 x 0.590720.8865=100(0.120/0.794)
=0.12030.5907=15.12
Reproducibility - Appraiser Variation (AV)
AV={(x DIFF x K2)2 - (EV2/nr)}1/2% AV=100 (AV/TV) ={(0.13 x 0.5236)^2 - (0.12 ^2/(10 x 3))}^1/2=100(0.063/0.794)
=0.063=7.88
Appraisers23
n = parts r = trials K20.70870.5236
Repeatability & Reproducibility (GRR)% GRR=100 (GRR/TV) GRR={(EV2 + AV2)}1/2Parts K3=100(0.135/0.794) ={(0.120^2 + 0.063^2)}^1/220.7087=17.05
=0.13530.5236Gage system may be acceptable Part Variation (PV)40.4464
PV=R P x K350.4032% PV=100 (PV/TV) = 2.489 x 0.314560.3745=100(0.783/0.794)
=0.78370.3534=98.54
Total Variation (TV)80.3378
TV={(GRR2 + PV2)}1/290.3247ndc= 1.41(PV/GRR) ={(0.135^2 + 0.783^2)}^1/2100.3145= 1.41(0.783/0.135)
=0.794=8
Remarks:Gage discrimination acceptable
For information on the theory and constants used in the form see MSA Reference Manual, Third edition.