計量型測量系統研究_線性分析報告,,,,,,,,,,,,,,

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零件號:,,,,,量檢具名稱:,,,,操作者:,,,,,

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零件名稱:,,,,,量檢具編號:,,,,分析者:,,,,,

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測量特性:,,6,,,量檢具類型:,,,,完成日期:,,,,,

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特性分級,,,上差,下差,預期過程變差,,試驗次數m,,參考數量g,,操作人數,,,

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

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

數據記錄表,,,,,,,,,,,,,,

"零件

參考值",1,2,3,4,5,,"零件

參考值",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,,

次數,讀數,,,,,,次數,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,,

測量次數m:,12,參考值數量g,5,σr=S=,0.239539789,,偏倚平均值,0.4917,0.1250,0.0250,-0.2917,-0.6167,,

結果分析——圖示法,,,,,,,,,,,,,,

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,,,,,,,"注：xo為參考值,xi為第j次測量時的參考值。",,,,,,,

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斜率a,,-0.131667,,,"95%

置信區間",,參考值,,,,,,,

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

擬合優度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,,,回歸直線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,,,

線性相關性：R2=1，兩變量之間關系完全相關，點散布在一條直線上；R2=0，兩變量之間關系完全不相關；0<R2<1，兩變量之間關系不完全相關。,,,,,,,,,,,,,,

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判斷標準：,No.1,畫出“偏倚=0”的線，并對圖進行評審，以觀察是否存在特殊原因，以及線性是否可接受。,,,,,,,,,,,,

,,如果“偏倚=0”的整個直線都位于置信度區間以內，則稱該測量系統的線性是可以接受的。,,,,,,,,,,,,

判斷結果：,No.1,上限大于0,,TRUE,TRUE,TRUE,FALSE,FALSE,,,,,,

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

,,0偏倚線是否在置信區間內,,,FALSE,,,,,,,,,

結果分析-數值法,,,,,,,,,,,,,,

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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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判斷標準：,No.2,%EV=100[EV/TV]=100[σrepeatability/TV]≤10%,,,,,,,,,,,,

,No.3,如果圖示分析法分析表示該測量系統的線性是可以接受的，則以下假設應該為真。,,,,,,,,,,,,

,,HO：,a=0,斜率=0,,"ABS(ta)≤tgm-2,1-a/2,測量系統對所有的參考值具有相同的偏倚。",,,,,,,,

,,HO：,b=0,截距(偏倚)=0,,"ABS(tb)≤tgm-2,1-a/2，對于可接受的線性此偏倚統計上為0。",,,,,,,,

判斷結果：,No.2,,%EV=,29.94%,,＞10%線性可能不被接受,,,,,,,,

,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,,,,,,,

結論：,該測量系統線性不可以接受，分析原因并制定改進措施,,,,,,,,,,,,,

注：本表格數據計算按MSA第四版。,,,,,,,,,,,,,,

"改進措施

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,斜率函數SLOPE,,,,,,,,,,,,,

,返回根據known_y's和known_x's中的數據點擬合的線性回歸直線的斜率。斜率為直線上任意兩點的重直距離與水平距離的比值，也就是回歸直線的變化率。,,,,,,,,,,,,,