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반복성 & 재현성
R&R
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\begin{align}
{R\&R} & = \sqrt{{EV}^2 + {AV} ^2 } \\
& = \sqrt{({@{results.stdDev.repeatability}}^2 + {@{results.stdDev.reproductibility}}^2 )} \\ & = @{results.stdDev.totalGageRnR}\end{align}
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\begin{align}
{\%R\&R} & = 100 \left[ {R\&R} / {SV} \right] \\
& = 100 \left[ {@{results.stdDev.totalGageRnR}} / {@{results.stdDev.totalVariation}} \right] \\& \approx \ @{svGageRnR} \%\end{align}
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\begin{align}
{\%R\&R} & = 100 \times CL \left[ {R\&R} / 공차 \right] \\
& = 100 \times {@{confidenceLevel}} \left[ {@{results.stdDev.totalGageRnR}} / {@{info.tolerance}} \right] \\& \approx \ @{tolerGageRnR} \%\end{align}
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\begin{align}@{results.TotalGageRNR.VariacePercentage}\%\end{align} |
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반복성-측정기 변동
EV
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\begin{align}
{EV} & = \overline {\overline R} \times K_1 \\
& = {@{results.variable.rbarMean}} \times {@{results.variable.k1}} \\& = @{results.stdDev.repeatability}\end{align}
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\begin{align}
{\%EV} & = 100 \left[ {EV} / {SV} \right] \\
& = 100 \left[ {@{results.stdDev.repeatability}} / {@{results.stdDev.totalVariation}} \right] \\& \approx \ @{svEV} \%\end{align}
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\begin{align}
{\%EV} & = 100 \times CL \left[ {EV} / 공차 \right] \\
& = 100 \times {@{confidenceLevel}} \left[ {@{results.stdDev.repeatability}} / {@{info.tolerance}} \right] \\& \approx \ @{tolerEV} \%\end{align}
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\begin{align}@{results.Repeatability.VariacePercentage}\%\end{align} |
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재현성-측정자 변동
AV
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\begin{align}
{AV} & = \sqrt{( \overline {X} _{DIFF} \times K_2) ^2 - ({EV}^2 / (nr))} \\
& = \sqrt{( {@{results.variable.xbarDiff}} \times {@{results.variable.k2}}) ^2 - ({@{results.stdDev.repeatability}}^2 / ({@{prevPageData.partNumbers.Count}} \times {@{prevPageData.repeat}}))} \\ & = @{results.stdDev.reproductibility}\end{align}
$n=$ 부품수 $r=$ 반복수
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\begin{align}
{\%AV} & = 100 \left[ {AV} / {SV} \right] \\
& = 100 \left[ {@{results.stdDev.reproductibility}} / {@{results.stdDev.totalVariation}} \right] \\& \approx \ @{svAV} \%\end{align}
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\begin{align}
{\%AV} & = 100 \times CL \left[ {AV} / 공차 \right] \\
& = 100 \times {@{confidenceLevel}} \left[ {@{results.stdDev.reproductibility}} / {@{info.tolerance}} \right] \\& \approx \ @{tolerAV} \%\end{align}
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\begin{align}@{results.Reproducibility.VariacePercentage}\%\end{align} |
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측정자x부품 변동
A x PV
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부품 변동
PV
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\begin{align}
{PV} & = {R}_{p} \times {K}_3\\
& = @{results.variable.rp} \times @{results.variable.k3} \\& = @{results.stdDev.partToPart}\end{align}
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\begin{align}
{\%PV} & = 100 \left[ {PV} / {SV} \right] \\
& = 100 \left[ {@{results.stdDev.partToPart}} / {@{results.stdDev.totalVariation}} \right] \\& \approx \ @{svPV} \%\end{align}
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\begin{align}
{\%PV} & = 100 \times CL \left[ {PV} / {공차} \right] \\
& = 100 \times {@{confidenceLevel}} \left[ {@{results.stdDev.partToPart}} / {@{info.tolerance}} \right] \\& \approx \ @{tolerPV} \%\end{align}
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\begin{align}@{results.PartToPart.VariacePercentage}\%\end{align} |
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총 변동
TV
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\begin{align}
{TV} & = \sqrt{{R\&R}^2 + {PV} ^2 } \\
& = \sqrt{({@{results.stdDev.totalGageRnR}}^2 + {@{results.stdDev.partToPart}}^2 )} \\& = @{results.stdDev.totalVariation}\end{align}
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\begin{align}
{ndc} & = 1.41 \left( {PV} / {R\&R} \right) \\
& = 1.41 \left( {@{results.stdDev.partToPart}} / {@{results.stdDev.totalGageRnR}} \right) \\& = @{ndcVal} \approx @{ndc} \\\end{align}
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\begin{align}@{results.TotalVariation.VariacePercentage}\%\end{align} |