计量型测量系统分析线性分析报告

计量型测量系统研究_线性分析报告,,,,,,,,,,,,,,

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零件号:,,,,,量检具名称:,,,,操作者:,,,,,

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零件名称:,,,,,量检具编号:,,,,分析者:,,,,,

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测量特性:,,6,,,量检具类型:,,,,完成日期:,,,,,

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特性分级,,,上差,下差,预期过程变差,,试验次数m,,参考数量g,,操作人数,,,

,,,,,TV,,,,,,,,,

,,,0.5,-0.5,0.800,,12,,5,,1,,,

数据记录表,,,,,,,,,,,,,,

"零件

参考值",1,2,3,4,5,,"零件

参考值",1,2,3,4,5,,

,2.00,4.00,6.00,8.00,10.00,,,2.00,4.00,6.00,8.00,10.00,,

次数,读数,,,,,,次数,偏倚,,,,,,

1,2.70,5.10,5.80,7.60,9.10,,1,0.70,1.10,-0.20,-0.40,-0.90,,

2,2.50,3.90,5.70,7.70,9.30,,2,0.50,-0.10,-0.30,-0.30,-0.70,,

3,2.40,4.20,5.90,7.80,9.50,,3,0.40,0.20,-0.10,-0.20,-0.50,,

4,2.50,5.00,5.90,7.70,9.30,,4,0.50,1.00,-0.10,-0.30,-0.70,,

5,2.70,3.80,6.00,7.80,9.40,,5,0.70,-0.20,0.00,-0.20,-0.60,,

6,2.30,3.90,6.10,7.80,9.50,,6,0.30,-0.10,0.10,-0.20,-0.50,,

7,2.50,3.90,6.00,7.80,9.50,,7,0.50,-0.10,0.00,-0.20,-0.50,,

8,2.50,3.90,6.10,7.70,9.50,,8,0.50,-0.10,0.10,-0.30,-0.50,,

9,2.40,3.90,6.40,7.80,9.60,,9,0.40,-0.10,0.40,-0.20,-0.40,,

10,2.40,4.00,6.30,7.50,9.20,,10,0.40,0.00,0.30,-0.50,-0.80,,

11,2.60,4.10,6.00,7.60,9.30,,11,0.60,0.10,0.00,-0.40,-0.70,,

12,2.40,3.80,6.10,7.70,9.40,,12,0.40,-0.20,0.10,-0.30,-0.60,,

测量次数m:,12,参考值数量g,5,σr=S=,0.239539789,,偏倚平均值,0.4917,0.1250,0.0250,-0.2917,-0.6167,,

结果分析——图示法,,,,,,,,,,,,,,

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,,,,,,,"注：xo为参考值,xi为第j次测量时的参考值。",,,,,,,

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斜率a,,-0.131667,,,"95%

置信区间",,参考值,,,,,,,

截距b,,0.736667,,,,,2.00,4.00,6.00,8.00,10.00,,,

拟合优度R^2（RSQ）,,71.43%,,,置信上限,,0.5806,0.2858,0.0086,-0.2409,-0.4728,,,

,,,,,置信下限,,0.3661,0.1342,-0.1152,-0.3925,-0.6872,,,

gm,,60.00,,,回归直线yi,,0.4733,0.2100,-0.0533,-0.3167,-0.5800,,,

gm-2,,58.00,,,,,,,,,,,,

1/gm,,0.01667,,,,(x0-xbar)2=,16.000,4.000,0.000,4.000,16.000,,,

"tgm-2,1-a/2",,2.00172,,,,(x0-xbar)2/∑(xi-xbar)2=,0.03333,0.00833,0.00000,0.00833,0.03333,,,

,,,,,,SQRT(1/gm+(x0-xbar)2/∑(xi-Xbar)2)=,0.22361,0.15811,0.12910,0.15811,0.22361,,,

线性相关性：R2=1，两变量之间关系完全相关，点散布在一条直线上；R2=0，两变量之间关系完全不相关；0<R2<1，两变量之间关系不完全相关。,,,,,,,,,,,,,,

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判断标准：,No.1,画出“偏倚=0”的线，并对图进行评审，以观察是否存在特殊原因，以及线性是否可接受。,,,,,,,,,,,,

,,如果“偏倚=0”的整个直线都位于置信度区间以内，则称该测量系统的线性是可以接受的。,,,,,,,,,,,,

判断结果：,No.1,上限大于0,,TRUE,TRUE,TRUE,FALSE,FALSE,,,,,,

,,下限小于0,,FALSE,FALSE,TRUE,TRUE,TRUE,,,,,,

,,0偏倚线是否在置信区间内,,,FALSE,,,,,,,,,

结果分析-数值法,,,,,,,,,,,,,,

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,a水平,,0.05,,,ta=,,,,,,,,

,ta,,12.04256,,,,,,,,,,,

,tb,,10.15752,,,,,,,,,,,

,"tgm-2,1-a/2",,2.00172,,,tb=,,,,,,,,

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判断标准：,No.2,%EV=100[EV/TV]=100[σrepeatability/TV]≤10%,,,,,,,,,,,,

,No.3,如果图示分析法分析表示该测量系统的线性是可以接受的，则以下假设应该为真。,,,,,,,,,,,,

,,HO：,a=0,斜率=0,,"ABS(ta)≤tgm-2,1-a/2,测量系统对所有的参考值具有相同的偏倚。",,,,,,,,

,,HO：,b=0,截距(偏倚)=0,,"ABS(tb)≤tgm-2,1-a/2，对于可接受的线性此偏倚统计上为0。",,,,,,,,

判断结果：,No.2,,%EV=,29.94%,,＞10%线性可能不被接受,,,,,,,,

,No.3,,"ta是否小于或等于tgm-2,1-a/2",,,"tb是否小于或等于tgm-2,1-a/2",,,,,,,,

,,,,FALSE,,,FALSE,,,,,,,

结论：,该测量系统线性不可以接受，分析原因并制定改进措施,,,,,,,,,,,,,

注：本表格数据计算按MSA第四版。,,,,,,,,,,,,,,

"改进措施

Improvementaction",,1,,,,,,,,,,,,

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分析人Analyst:,,,,,,,,日期Date:,,,,,,

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ReferenceValue,1,2,3,4,5,,ReferenceValue,1,2,3,4,5,,

,2.00,4.00,6.00,8.00,10.00,,,2.00,4.00,6.00,8.00,10.00,,

TRIAL,referencearray,,,,,,TRIAL,biasarray,,,,,,

1,2.00,4.00,6.00,8.00,10.00,,1,0.70,1.10,-0.20,-0.40,-0.90,,

2,2.00,4.00,6.00,8.00,10.00,,2,0.50,-0.10,-0.30,-0.30,-0.70,,

3,2.00,4.00,6.00,8.00,10.00,,3,0.40,0.20,-0.10,-0.20,-0.50,,

4,2.00,4.00,6.00,8.00,10.00,,4,0.50,1.00,-0.10,-0.30,-0.70,,

5,2.00,4.00,6.00,8.00,10.00,,5,0.70,-0.20,0.00,-0.20,-0.60,,

6,2.00,4.00,6.00,8.00,10.00,,6,0.30,-0.10,0.10,-0.20,-0.50,,

7,2.00,4.00,6.00,8.00,10.00,,7,0.50,-0.10,0.00,-0.20,-0.50,,

8,2.00,4.00,6.00,8.00,10.00,,8,0.50,-0.10,0.10,-0.30,-0.50,,

9,2.00,4.00,6.00,8.00,10.00,,9,0.40,-0.10,0.40,-0.20,-0.40,,

10,2.00,4.00,6.00,8.00,10.00,,10,0.40,0.00,0.30,-0.50,-0.80,,

11,2.00,4.00,6.00,8.00,10.00,,11,0.60,0.10,0.00,-0.40,-0.70,,

12,2.00,4.00,6.00,8.00,10.00,,12,0.40,-0.20,0.10,-0.30,-0.60,,

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,,,,∑yi2,11.820,,,,,,,,,

,,,,∑yi,-3.200,,,,,,,,,

,,,,∑xiyi,-82.400,,,,,,,,,

,,,,∑xi,360.000,,,,,,,,,

,,,,∑xi2,2640.000,,,,,,,,,

,,,,xibar,6.000,,,,,,,,,

,,,,xibar2,36.000,,,,,,,,,

,,,,∑(xi-xbar)2,480.000,,或者∑xi2-2*xibar*∑xi+gm*xibar2,,,,,,,

,,,,SQRT(∑(xi-xbar)2),21.909,,,,,,,,,

,,,,xibar2/∑(xi-xbar)2,0.075,,,,,,,,,

,,,,1/gm+xibar2/∑(xi-xbar)2,0.092,,,,,,,,,

,,,,SQRT(1/gm+xibar2/∑(xi-xbar)2),0.303,,,,,,,,,

,,,,SQRT(1/gm+xibar2/∑(xi-xbar)2)*s,0.073,,,,,,,,,

,,,,ABS(b),0.737,,,,,,,,,

,,,,ABS(a),0.132,,,,,,,,,

,,,,s=SQRT((∑yi2-b∑yi-a∑xiyi)/(gm-2)),0.240,,,,,,,,,

,,,,∑yi2,11.8200,,,,,,,,,

,,,,-b∑yi,2.357,,,,,,,,,

,,,,-a∑xiyi,-10.849,,,,,,,,,

,,,,∑yi2-b∑yi-a∑xiyi,3.328,,,,,,,,,

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1,斜率函数SLOPE,,,,,,,,,,,,,

,返回根据known_y's和known_x's中的数据点拟合的线性回归直线的斜率。斜率为直线上任意两点的重直距离与水平距离的比值，也就是回归直线的变化率。,,,,,,,,,,,,,