序号 No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 评价人/试验次数 Evaluation of person / trial degree 1 2 3 平均 值Average 极 差 1 B 2 3 平均 值Average 极差 1 C 2 3 平均 值Average 极 差 A 零件均值 Parts Average(Xp) R = ［Ra + XDIFF = ［Xmax UCL 2.3000 2.0800 1.9300 1.8200 1.7400 1.6700 1.6200
总变差Total variation（TV） 2 2 TV = √ （ R&R + PV ） = 0.04385
□%R&R＜10%,该量具可接受;Accepted □10%≤%R&R≤30%,依据量具的重要性、成本及维修费用等因素，确定该量
3 19.090 19.090 19.090 19.090 0.000 19.100 19.100 19.100 19.100 0.000 19.090 19.090 19.090 19.090 0.000 19.093
4 19.090 19.080 19.080 19.083 0.010 19.060 19.060 19.060 19.060 0.000 19.070 19.070 19.070 19.070 0.000 19.071
测 量 设 备 分 析Analysis of measuring equipment 重复性—设备变差Repeatability - Equipment Variation（EV） EV = R × K1 0.0061 试验次数Test time 2 3 再现性—试验人员变差Reproducibility - Variation pilot staff（AV） 2 2 AV =√［（XDIFF × K2 ） -（EV / nr ) ］ 0.00436 2 评价人Evaluation Person K2 3.65 重复性和再现性Repeatability and reproducibility（R＆R） R&R= √ （EV2 + AV2 ） 0.0075 零件数量 2 零件变差Part variation（PV） 3 PV = RP × K3 = 0.0432 4 5 6 7 8 9 10
具是否可接受；According the importance of Measure and cost and maintenance costs and other factors,determine whether or not acceptable
□%R&R＞30%,该量具不能接受,通知多方论证小组,必须对量具进行改进 Not
K1 4.56 3.05
%EV = 100 ［EV / TV ］ 13.912%
3 2.7
%AV= 100 ［AV / TV］ 9.944% n = 零件数量Parts Qty r = 试验次数test time %R&R = 100 ［ GRR / TV］ 17.1008% %PV= 100 ［ PV / TV ］ 98.5270% ndc= 1.41 ( PV / GRR ） 分析结论 Analysis Conclusion 8.12379071
试验日期Test Date：2012.3.15 日期Date：2012.3.15 操作者Operator A中国XXX B C
平均值Average 10 19.070 19.070 19.070 19.070 0.000 19.080 19.080 19.080 19.080 0.000 19.080 19.080 19.080 19.080 0.000 19.077 19.080 19.078 19.078 19.079 0.002 19.080 19.079 19.080 19.080 0.002 19.079 19.078 19.077 19.078 0.002 19.079 0.027 0.002 0.002 0.005 0.000
B.量具的重复性和再现性X-R分析报告 Gauge Repeatability and Reproducibility X--R Analysis Report
部门Department QE 零件号和名称Part Number/Name：620871-01管接 被测特性Characteristic of Measured： 特性规格Characteristic Spectification：19+0.1/0 根据数据表According to data tables：R=0.002
量具名称Measure Name：数显卡尺 量具号Measure Number：08142521 量具型式Measure Type XDIFF=0.002
试验日期Test Date：2012.3.15 日期Date：2012.3.15 操作者Operator A中国XXX B C RP=0.027
总 变 差 Total variation %
1 19.060 19.060 19.060 19.060 0.000 19.070 19.070 19.080 19.073 0.010 19.090 19.090 19.090 19.090 0.000 19.074
2 19.100 19.100 19.100 19.100 0.000 19.090 19.090 19.090 19.090 0.000 19.070 19.070 19.060 19.067 0.010 19.086
Xa= Ra=
Xb= Rb=
Xc= Rc= Xp= Rp=
R = XDIFF= UCLR= LCLR=
Rb + Rc］ / - Xmin］ X D4 ］ X D3 ］
［评价人数Evaluation of the number of people=3 ］
※当试验次数when the test time is n=2时，D4=3.27； n=3时,D4=2.58；7次以下试验 Under7 times experiment D3=0；UCLR代表单值R的极限，圈出那些超出极限的试验，识别其原 因并纠正。用与原来相同的评价人和量具重复这些读数或剔除超限值后，用剩下的观测值来重新计算均值和极差及控制限值。UCLR on behalf of the limits of a single value of R, 22 circle beyond the limits of those tests, to identify and correct the causes. The same with the original evaluation and measuring repeat these readings or transfinite value removed, the rest of the observations used to recalculate the mean and control limits and the Distance. 评价人Evaluation :A /日期Date： 评价人Evaluation:B /日期Date： 评价人Evaluation C /日期Date：
测量系统能力研究 GR&R study for critical measurement tools
A.量具重复性和再现性X--R分析数据表 Gauge Repeatability and Reproducibility X--R Data Analysis List
部门Department QE 零件号和名称Part Number/Name：1223336管接 被测特性Characteristic of Measured： 特性规格Characteristic Spectification：19+0.1/0
量具名称Measure Name：数显卡尺 量具号Measure Number：08142521 量具型式Measure Type
零 件spare parts 5 19.070 19.070 19.070 19.070 0.000 19.080 19.080 19.080 19.080 0.000 19.080 19.080 19.080 19.080 0.000 19.077 6 19.080 19.080 19.080 19.080 0.000 19.080 19.080 19.080 19.080 0.000 19.080 19.080 19.080 19.080 0.000 19.080 7 19.090 19.080 19.080 19.083 0.010 19.090 19.080 19.080 19.083 0.010 19.080 19.070 19.070 19.073 0.010 19.080 8 19.090 19.090 19.090 19.090 0.000 19.070 19.070 19.070 19.070 0.000 19.090 19.090 19.090 19.090 0.000 19.083 9 19.060 19.060 19.060 19.060 0.000 19.080 19.080 19.080 19.080 0.000 19.060 19.060 19.060 19.060 0.000 19.067
acceptable. ⑴.所有的计算都是建立在可预计的5.15σ（正态分布曲线之下面积的99%）的基础之上的； All calculations are based on predictable 5.15σ (area under the normal distribution curve of 99%) basis; ⑵.GR＆R结果分析参见MSA参考手册（第三版）第二章—第四节； GR & R results, see MSA Reference Manual (Third Edition) Chapter II - Section IV; ⑶.AV如果根号下的计算值为负值，取评价人的变差（AV）等于0。 AV No. If the root of the calculated values for the negative evaluation of people take the variation (AV) is equal to 0.