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测量系统线性分析表(图示及计算),,,,,,,,,,,,,,,,,,,
量具名称,,,,,,,测量特性,,,,,,,,测量人员,,,,
量具编号,,,,,,,规范,,,,,,,,测量日期,,,,
量具量程,,,,,,,抽样频率,,,,,,,g=,5,m=,12,gm=,60
零件i,,1,,2,,3,,4,,5,,,∑xi,,30.00,∑yi,,-0.2667,
基准值xi,,2.00,"偏倚值
Yij",4.00,"偏倚值
Yij",6.00,"偏倚值
Yij",8.00,"偏倚值
Yij",10.00,"偏倚值
Yij",,∑xiyi,,-6.8667,∑xi2,,220.00,
"测
量
值
xij",1,2.70,0.70,5.10,1.10,5.80,-0.20,7.60,-0.40,9.10,-0.90,,(∑xi)2,,900,∑∑(xi-xi)2,,480.00,
,2,2.50,0.50,3.90,-0.10,5.70,-0.30,7.70,-0.30,9.30,-0.70,,y,-0.053333,,x,,6.00,
,3,2.40,0.40,4.20,0.20,5.90,-0.10,7.80,-0.20,9.50,-0.50,,∑y2,0.723333,,"t58,0.975",,2.00172,
,4,2.50,0.50,5.00,1.00,5.90,-0.10,7.70,-0.30,9.30,-0.70,,a=,∑xiyi-(∑xi∑∑yij)/gm,,,,-0.13167,
,5,2.70,0.70,3.80,-0.20,6.00,0.00,7.80,-0.20,9.40,-0.60,,,,,,,,
,6,2.30,0.30,3.90,-0.10,6.10,0.10,7.80,-0.20,9.50,-0.50,,,∑xi2-∑(∑xi)2/gm,,,,,
,7,2.50,0.50,3.90,-0.10,6.00,0.00,7.80,-0.20,9.50,-0.50,,,,,,,,
,8,2.50,0.50,3.90,-0.10,6.10,0.10,7.70,-0.30,9.50,-0.50,,b=,y-ax,,,,0.7367,
,9,2.40,0.40,3.90,-0.10,6.40,0.40,7.80,-0.20,9.60,-0.40,,s=,∑∑y2ij-b∑∑yij-a∑∑xiyij,,,,0.239540,
,10,2.40,0.40,4.00,0.00,6.30,0.30,7.50,-0.50,9.20,-0.80,,,gm-2,,,,,
,11,2.60,0.60,4.10,0.10,6.00,0.00,7.60,-0.40,9.30,-0.70,,置信带=,b+ax0±,1/gm+,(x0-xi)2,,,
,12,2.40,0.40,3.80,-0.20,6.10,0.10,7.70,-0.30,9.40,-0.60,,,,,∑∑(xi-xi)2,,,
(xj-x)2,,147.87,,44.39,,0.43,,35.13,,137.60,,,,,,,,,
测量均值,,2.4917,,4.1250,,6.0250,,7.7083,,9.3833,,,95%置信区间,,基准值,,,,
偏倚均值yi,,0.4917,,0.1250,,0.0250,,-0.2917,,-0.6167,,,,,2.0000,4.0000,6.0000,8.0000,10.0000
极差,,0.40,,1.30,,0.70,,0.30,,0.50,,,上限,,0.5806,0.2858,0.0086,-0.2409,-0.4728
xiyi,,0.9833,,0.5000,,0.1500,,-2.3333,,-6.1667,,,"回归直线
=b+ax0",,0.4733,0.2100,-0.0533,-0.3167,-0.5800
y2i,,3.07,,2.39,,0.43,,1.13,,4.80,,,下限,,0.3661,0.1342,-0.1152,-0.3925,-0.6872
,,,,,,,,,,,,,,,,,,,,
图示分析,,,,,,,,,,,,,数值分析,,,,,,
,,,,,,,,,,,,,,,,,,,,
,,,,,,,,,,,,,ta=,a,,,-12.04256,,
,,,,,,,,,,,,,,s,,,,,
,,,,,,,,,,,,,,∑∑(xi-xi)2,,,,,
,,,,,,,,,,,,,tb=,b,,,10.158,,
,,,,,,,,,,,,,,1/gm+,(xi)2,,,,
,,,,,,,,,,,,,,,∑∑(xi-xi)2,,,,
,,,,,,,,,,,,,"判定
结果","□︱ta︱≤tgm-2,1-a/2,H0:a=0,线性可接受;
□︱ta︱>tgm-2,1-a/2,H0:a≠0,线性不可接受。
□︱tb︱≤tgm-2,1-a/2,H0:b=0,偏倚可接受;
□︱tb︱>tgm-2,1-a/2,H0:b≠0,偏倚不可接受。",,,,,
,,,,,,,,,,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,
,,,,,,,,,,,,,"改善对策:
当线性不可接受(a≠0)时,不用再进行︱tb︱与
tgm-2,1-a/2大小的分析,找出原因通过硬体修正、软件修正或者两种修正方法进行校准,使其达到零偏倚,如果不能达到零偏倚,只要证明仍旧稳定,可以用于产品/过程的控制,不用对其进行
线性分析。",,,,,,
,,,,,,,,,,,,,,,,,,,,
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