测量系统分析使用手册

󲌟󴞣󳋏󳒳󰟚󱵤󱽖󱗉

󲌟󴞣󳋏󳒳󰟚󱵤󱰃󱣛󲫼󳒳󴅵󱄺󲱘󱮍󲊩󱴹󰑚󳾷󲌟󴞣󳋏󳒳󰐁󲱘󰧘󰏾󲊶󰡼󲑤󰋈󰒹󰦞󱅗󰓀󱇍󲌟󴞣󳒧󱵰󲱘󱕅󰪡󱑊󳒭󰟎󱯢󲹂󲱘󰟸󱮁󰞚󰟭󰇄󱕅󰪡󲌟󴞣󳋏󳒳󲱘󰲴󳋴󱳝󰋖󱪡󰔰󳗙󰋈󴕃󰓊󰩠󴆒󰻛󰋄󱎹󳺙󰇃󰼍󰝋󰩠󴞣󰝋󰋅󰋈󱪡󰔰󲿟󱑣󰋈󲌟󴞣󲦃󰹗󰋈󳹿󲌟󴳊󰓊󰋈󰲴󲄸󲌟󴞣󳋏󳒳󴕧󰜹󰇃󴕧󰟎󰳒󰽖󰏟󰋖

󲌟󴞣󳋏󳒳󰲴󳋴󴕧󰜹󰇃󳒧󱵰󴕧󰟎󰳒

󱪡󰔰󳗙󴕃󰓊󴆒󰻛󰣙󱣀

󱎹󳺙󰇃󰼍󰝋󰇃󴞣󰝋󳹿󲌟󰑟󲠽󱪡󰔰󲿟󱑣󲌟󴞣󲦃󰹗

󰝇󰑢󲌟󴞣󳋏󳒳󰋄󰝇󰑢󲌟󴞣󳋏󳒳󰋄󴞣󰝋󰋅󴞣󰝋󰋅󰟚󴕽󰡯󲱘󳽕󲈖

󲌟󴞣󳋏󳒳󰋄󴞣󰝋󰋅󲱘󰟚󴕽󰡯󴍞󵂬󰋈󲌟󴞣󴖛󲿟󲱘󲊶󰡼󱈅󴍞󱆍󱯧󴆚󰟿󰋈󰔚󱰃󴖛󵂬󲱘󰟚󴕽󰡯󰓮󱇐󳟈󱺔󵁠󱟤󱴀󲱘󰏞󰤛󱟪󱰃󰏡󱖙󳽕󲱘󲌾󴌍󰋈󰲴󲄸󲌟󴞣󳋏󳒳󰋄󴞣󰝋󰋅󲱘󰟚󴕽󰡯󱑨󴖒󰠄󰒹󰏟󳽕󲈖󰋖 1. 󲌟󴞣󳋏󳒳󰋄󴞣󰝋󰋅󰟚󴕽󰡯/󴖛󲿟󲊶󰡼󰋄5.15󰂳p󰋅󰄰1/10 2. 󲌟󴞣󳋏󳒳󰋄󴞣󰝋󰋅󰟚󴕽󰡯/󴖛󲿟󰝀󱏂󰋄USL-LSL󰋅󰄰1/10

󲌟󴞣󳋏󳒳󲱘󰞚󲹂󱗻󰩠󳊒󲹂󱗻

1. 󰞚󲹂󱑺󰋄Accuracy)󰋖󰐎󰑚󳸼󲼎󲌟󴞣󳒧󱵰󰋄󰤩󰘐󱟪󱑇󰴛󰘐󰋅󰏢󲳳󰘐󲱘󱥹󴖥󲿟󱑺󰋈󱇍󰧠󰏔󰏾󱸋󱴀󴖯󳸠󰻮󲃵󲱘󲌟

󴞣󱑊󴅵󳅫󰝊󱑇󰴛󰘐󰋈󱑇󰴛󰘐󰏢󲳳󰘐󰐟󴯈󱏂󱓖󲱘󲿟󱑺󲿄󰐎󰄀󰘣󰗮󰄁󰋈 󳸼󴖒󰝀󱓣󰋖󳸼󴖒󰝀󱓣󰋖󰘣󰗮=󰷎󰞚󰘐󰋉󰷎󰞚󰘐󰋉󰻮󲃵󲌟󴞣󱑇󰴛󰘐󰇄󰧠󱯊󰋈󲌟󴞣󳋏󳒳󲱘󰘣󰗮󱑨󲒵󴎇󳒓󱗻󳽕󲈖󰇄

a) 󰘣󰗮󱑺󰋄Bias󰋁󰋅󱰃󲫼󰑢󳸵󴞣󲌟󴞣󳋏󳒳󲱘󰞚󲹂󱑺󱣛󱷛󰐟󰏔󰋈󰥇󲌟󴞣󳋏󳒳󲱘󰘣󰗮󳒱󱇍󰘐󰤴󲌟󴞣󴖛󲿟󲊶󰡼

󲱘󲱒󰟚󲆨󰋈󳸼󴖒󰝀󱓣󰋖|󰘣󰗮|/5.15󰂳p *100%

b) 󳒓󱗻󱑺󰋄Linearity󰋁󰋅󱰃󲫼󰑢󳸵󴞣󲌟󴞣󳋏󳒳󲱘󰞚󲹂󱑺󱣛󱷛󰐟󰏔󰋈󰥇󲌟󴞣󳋏󳒳󲱘󱭰󲥛󰋄󳒓󱗻󰲲󱔦󳋏󱭄󰋅󲱘

󳒱󱇍󰘐󰤴󲌟󴞣󴖛󲿟󲊶󰡼󲱘󲱒󰟚󲆨

2. 󳊒󲹂󱑺󰋄Precision)󰋖󰐎󰑚󳸼󲼎󲌟󴞣󳒧󱵰󰐁󰑻󲫳󲱘󴱣󱴎󴇃󱏂󰻻󱇣󲿟󱑺󰋈󰳼󲳌󰧠󲌟󴞣󱮍󲊩󰏟󴖯󳸠󴞡󰻡󲌟󴞣󱟪󴆩

󵁠󰋈󲌟󴞣󳒧󱵰󲳌󰑦󴯈󲱘󲊶󰡼󲱘󲿟󱑺󲫼5.15󰗡󱷛󰞚󱏂󱴹󳸼󲼎󰋈󱷛󰞚󱏂󴍞󰻻󰋈󳊒󲹂󱑺󴍞󰔢󰇄󲌟󴞣󳒧󱵰󲱘󱘏󲊶󰡼󰣙󰧿󰑚󰋖󴳊󴚼󰓊󲊶󰡼󰩠󲌟󴞣󳋏󳒳󲊶󰡼—󴆄󰐎R&R(gage)󰋈󴆺󳒚󰟚󳾷󰳒󰽖󰏟󰋖

󰋈󳸼󴖒󰝀󱓣

󰋖|󱭰󲥛󰋄b󰋅|/5.15󰂳

p

󴌟󰘐󲌟󴞣󳒧󱵰

󲌟󴞣󰘐󰋙󰷎󰞚󰘐(󲳳󰘐)󰋇󲌟󴞣

󴇃󱏂

*100%

󰒹󰏞󰏸󰏾󱣛󱷛󱭄󰘐󴍞󱇣󰋈󳸼󱯢󲌟󴞣󳋏󳒳󲱘󰞚󲹂󱗻󱈅󴍞󵂬󰇄

󲌟󴞣󳋏󳒳󰟚󱵤󴆘󰓋󰕓󲫼󱠟󰝠 Date of issue 2009-09-11 Page 2/7 󲌟󴞣󱭄󱥂󲊶󰡼󲱘󰟚󳾷󰳒

󲌟󴞣󳋏󳒳󰟚󱵤󴆘󰓋󰕓󲫼󱠟󰝠 Date of issue 2009-09-11 Page 3/7 󱭄󱥂󳒘󱭄󱇍󲌟󴞣󱭄󱥂󲱘󱕅󰪡󱭄󱥂󳒘󱭄󱇍󲌟󴞣󱭄󱥂󲱘󱕅󰪡 󲾡󳉏 󱭄󱥂󳒘󰏢󴖛󲿟󲢊󰞉 1 󰟚󱵤󱭄󱥂󰏢󱥻󰠊󱕅󰪡 󰏡󳛑󲫼󰑢󱇍󴖛󲿟󲱘󰦖󱭄󰔄󴅵󱟪󴅵󳅫󴖛󲿟󳛑󰡯󱣛󱭄󰋈󰒙󳸼󴴶󴖛󲿟󲱘󴕧󰟎󱰃󰧺󰧜󱸐 1󰏾󱭄󱥂󰟚󳑻 2 󰒙󳛑󱦤󰕯󳉫󳊭󲱘󰦖󱭄󰔄󴅵󰋈󰏔󳠀󱴹󴆆󱇍󴖛󲿟󰦖󱭄󰦞󱣛󱭄󲱘󰔄󴅵󱰃󰏡󰧃󱥹󰦫󲱘 2-4󰏾󱭄󱥂󰟚󳑻 3 󰧃󲫼󰑢󴖛󲿟󰦖󱭄󰔄󴅵󰩠󰧘󳉏󱥻󰠊󰳒󰋈5󳟇15󰐟󴯈󲌟󴞣󳋏󳒳󰷎󱴀󰝋󰻛󰑚󰟚󴕽󰡯󰋈15󰒹󰏞󲱘󲌟󴞣󳋏󳒳󰝋󰻛󰑚󳡃󰽑󲱘󰟚󴕽󰡯󰇄 5󰏾󰒹󰏞󲱘󱭄󱥂󰟚󳑻 ndc󰏢R&R%󱳝󰽖󰏟󰝇󳋏󰋖

󳸼󴖒󰝀󱓣󰋖ndc󰋄󱭄󱥂󳒘󱭄󰋅󰋙󰋄󰂳p/󰂳ms󰋅x 1.41

R&R%=2/(ndc+2)

2

󰲴󲄸: ndc󰋙4, R&R%=33.3%; ndc=5, R&R%=27.1%

󰝇󰑢󲌟󴞣󳋏󳒳R&R󰋁󰳼minitab󴕃󰓊󰐁󲱘󰘮󲊩󴕃󰓊󰐁󲱘󰘮󲊩󰋄󰑸󰦝󰦪󱸋󱮍󱓣󰋅 󰘮󲊩󰋄󰑸󰦝󰦪󱸋󱮍󱓣󰋅󴕧󰜹󱮍󲊩󰋖

1. 󴖯󰜹󰐏󳦰󰤩\\stat\\quality tool\\gage R&R study(crossed)󰋗

2. 󱇚󱭄󱥂󰟚󰐎3󰟫—󴳊󰓊󰇃󲌟󴞣󰒎󰨬󰇃󲌟󴞣󳒧󱵰󰋈󰟚󰟿󱬒󰜹 part numbers, operators, measurement data󰋗 3. 󲚍󰟏󰄀Xbar󰋉R󰄁󰋗

4. 󲚍󰟏󰄀ok󰄁󰧢󲫳󱟤󴕧󰟎󳒧󱵰󰇄

󲌟󴞣󳋏󳒳󰟚󱵤󴆘󰓋󰕓󲫼󱠟󰝠 Date of issue 2009-09-11 Page 4/7

󳒧󱵰󴕧󰟎󰣙󱣀󰏸󲾡󱔶󱓣󰋖 1. 󴕧󰟎󰳒󱔶󳒧󱵰

Gage R&R (ANOVA) for ResponseComponents of Variation100%Contribution %Study Var 6005004003002000Gage R&RRepeatReprodPart-to-Part

Gage name:Date of study:Reported by:Tolerance:Misc:By PartPercent50Part600500400R=146.3LCL=0300200123R Chart by Operator400123By OperatorUCL=376.5Sample Range30020010000Operator123Xbar Chart by Operator550123Operator*Part InteractionUCL=555.8490440390340Operator1 2 3 Sample Mean450Mean=406.23502500LCL=256.5AveragePart123 2. 󴕧󰟎󳒳󴅵󴞣󰋖

Gage R&R Study - XBar/R Method Gage R&R for Response

%Contribution Source Variance (of Variance)

7229.94 7229.94 0.00 2026.05 9255.99

78.11 78.11 0.00 21.89 100.00 (5.15*SD)

(%SV)

Total Gage R&R Repeatability Reproducibility Part-to-Part Total Variation StdDev

Study Var%

󲌟󴞣󳋏󳒳󰟚󱵤󴆘󰓋󰕓󲫼󱠟󰝠 85.0291 85.0291 0.0000 45.0116 96.2081

437.900

Date of issue 2009-09-11 Page 5/7 Total Gage R&R Repeatability Reproducibility Part-to-Part Total Variation

󴕧󰟎󳒧󱵰󳾷󴞞󰋖

88.38

88.38 0.00 46.79 100.00

437.900 0.000 231.810 495.471

Number of distinct categories = 1

1. 󰳒󱔶󳒧󱵰󰋖󰦬󴞣󰳒󳸼󲼎󴞡󰻡󱗻󰐎󰐏󳽕󲆨󲥛󰋗󱵕󱏂󰳒󴇈󱯢󲌟󴞣󳋏󳒳󰝙󲱘󴞣󰝋󰟚󴕽󰡯󴕗󰽑󰋈󳛑󲒵󴎇󲌟󴞣󰘐󰟚󴕽

󳽕󲈖󰋗󰴛󰘐󰳒󴇈󱯢󲌟󴞣󳋏󳒳󲱘󲊶󰡼󰻻󰑢󴳊󰓊󰐟󴯈󲱘󲊶󰡼󰋈󰲴󲄸󲌟󴞣󳋏󳒳󰏡󳛑󲒵󴎇󲌟󴞣󲱘󴳔󲈖󰋗󴳊󰓊󰳒󰏢󱪡󰔰󳗙󰳒󰟚󰟿󴇈󱯢󴳊󰓊󰐟󴯈󰩠󰒎󰨬󰐟󴯈󲱘󲌟󴞣󱏂󱓖󰋗󱪡󰔰󳗙󰏢󴳊󰓊󲱘󰑸󰑦󰳒󳓐󰧜󴇈󱯢󰑚󴳊󰓊󰇃󱪡󰔰󳗙󲌟󴞣󰘐󲱘󲳈󳾖󱰒󲼎󰇄

2. 󳒳󴅵󰟚󱵤󳒧󱵰󰋖󴞡󰻡󱗻󰐎88.38%󰋈󰝡󲦄󱗻0󰋁󰋈󳓐󰧜󲱘R&R%󰐎88.38%󰇄󲌟󴞣󳋏󳒳󱭄󱥂󰟚󳑻󰐎1󰇄󴇈󱯢

󴆹󲌟󴞣󳋏󳒳󲱘󴞡󰻡󱗻󱇍󰑢󱭈󰏾󲌟󴞣󳋏󳒳󲱘󲊶󰡼󱕅󰪡󴕗󰻻󰋈󰒎󰏢󰒎󰐟󴯈󲱘󰝡󲦄󱗻󲌟󴞣󲊶󰡼󲉵󱳝󱕅󰪡󰇄󰲴󲄸󰋈󴆹󲌟󴞣󳋏󳒳󱖙󴹏󴩜󱇍󴞡󰻡󱗻󲌟󴞣󴖯󳸠󱬍󴖯󰇄

󰝇󰑢󲌟󴞣󳋏󳒳󳒓󱗻󱑺󰏢󰘣󰗮󰳼minitab󴕃󰓊󰐁󲱘󰘮󲊩 󴕧󰜹󱮍󲊩󰋖

1. 󴖯󰜹󰐏󳦰󰤩\\stat\\quality tool\\gage linearity study󰋗

2. 󱇚󱭄󱥂󰟚󰐎3󰟫—󴳊󰓊󰇃󲌟󴞣󰒎󰨬󰇃󲌟󴞣󳒧󱵰󰋈󰟚󰟿󱬒󰜹 part numbers, operators, measurement data󰋗 3. 󲌟󴞣󴖛󲿟󲱘󲊶󰡼󰧃󰒢󰄀󲫼󲊩󰏔󰄁󴖯󰜹ANOV󱮍󲊩󱕫󰟎󴖛󲿟󱘏󲊶󰡼󰐎5.15󰂳p 4. 󲚍󰟏󰄀Xbar󰋉R󰄁󰋗

5. 󲚍󰟏󰄀ok󰄁󰧢󲫳󱟤󴕧󰟎󳒧󱵰󰇄

󴕧󰟎󳒧󱵰󰽖󰏟󰋖

󲌟󴞣󳋏󳒳󰟚󱵤󴆘󰓋󰕓󲫼󱠟󰝠 Gage name:Date of study:Reported by:Tolerance:Misc:Date of issue 2009-09-11 Page 6/7 Gage Linearity Study for ResponseGage Linearity1Linearity:%Linearity:R-Squared:1.8683513.167 0.978-5.3E-020.376Gage BiasBias:%Bias:Bias0Percent of Process Variation141210Percent234567891086420-1Master Part MeasurementLinearityBias 󴕧󰟎󳒧󱵰󳾷󴞞󰋖󴕧󰟎󳒧󱵰󳾷󴞞󰋖

1. 󲌟󴞣󳋏󳒳󲱘󱑇󰴛󰘣󰗮󰐎-0.053󰋈󰘣󰗮󱑺󰐎0.376󰋁󰇄󴇈󱯢󲌟󴞣󳋏󳒳󱘏󰔧󰘣󰗮󴕗󱇣󰋗

2. 󳒓󱗻󰐎1.86835󰋈󳒓󱗻󱑺󰐎13.167󰋁󰇄󴇈󱯢󲌟󴞣󳋏󳒳󲱘󰘣󱭰󲱘󲢊󰞉󰋈󰥇󲆣1󰏾󰤩󰔡󰘣󱭰0.13󰏾󰤩󰔡 3. R󱮍󰐎0.978󰇄󰲴󰐎󱭄󰘐󱥹󴖥1󰋈󴇈󱯢󳒓󱗻󳡃󰽑

󰝇󰑢󲌟󴞣󳋏󳒳󴫒󰳒󰝇󰑢󲌟󴞣󳋏󳒳󴫒󰳒󰳼󴫒󰳒󰳼minitab󴕃󰓊󰐁󲱘󰘮󲊩 󴕧󰜹󱮍󲊩󰋖

1. 󴖯󰜹󰐏󳦰󰤩\\stat\\quality tool\\gage chat󰋗

2. 󱇚󱭄󱥂󰟚󰐎3󰟫—󴳊󰓊󰇃󲌟󴞣󰒎󰨬󰇃󲌟󴞣󳒧󱵰󰋈󰟚󰟿󱬒󰜹 part numbers, operators, measurement data󰋗 3. 󲚍󰟏󰄀ok󰄁󰧢󲫳󱟤󴕧󰟎󳒧󱵰󰇄

󴕧󰟎󳒧󱵰󰽖󰏟󰋖

󲌟󴞣󳋏󳒳󰟚󱵤󴆘󰓋󰕓󲫼󱠟󰝠 Date of issue 2009-09-11 Page 7/7

󴕧󰟎󳒧󱵰󳾷󴞞󰋖

󴞣󰝋󴫒󰳒󰐁󰧃󰒹󲳟󰟎󰦾󱳝10󰧋󴳊󰓊󲱘󰝡󲦄󱗻󰦬󰣪󴕗󰻻󰋈󰝊󰔭󴳊󰓊󲱘󲌟󴞣󱘏󰔧󴕗󰽑󰋈󲌟󴞣󲱘󴞡󰻡󱗻󰩠󰝡󲦄󱗻󴕗󰏔󳟈󰇄󴞣󰝋󴫒󰳒󳛑󰻳󰒢󰳒󱔶󰏞󴕗󲳈󳾖󲱘󲳟󰟎󲌟󴞣󳗙󱇍󲆣󰏾󴳊󰓊󲌟󴞣󲊶󰡼󲱘󰽑󰴣󰋈󰔚󲉵󱳝󳒳󴅵󴞣󲱘󴆘󰔄󰋈󰽖󱵰󴳔󳽕󴆺󳒚󲱘󳒳󴅵󴞣󴆘󰔄󰟭󳽕󴖯󳸠󲌟󴞣󳋏󳒳R&R%󲱘󰟚󱵤󰋄󴆺󳾕󲫼󲊩󰏔󰋅󰇄