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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} & = \sqrt{{MS} _{e}} \\
& = \sqrt{({SS}_{EV} / {df}_{e})} \\
& = \sqrt{@{results.repeatabilityWithInteraction.ss} / @{results.repeatabilityWithInteraction.df}} \\& = @{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{( {MS} _{A} - {MS}_{A \times P}) / {nr} + {MS}_{A \times P}} \\
& = \sqrt{(@{results.aWithInteraction.ms}-@{results.paWithInteraction.ms}) / (@{prevPageData.partNumbers.Count} \times @{prevPageData.repeat})+ @{results.varComp.ap}} \\& = \sqrt{(@{results.varComp.a}+@{results.varComp.ap})} \\ & = @{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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\begin{align}
{A \times PV} & = \sqrt{( {MS} _{A \times P} - {MS}_{e}) / {r}} \\
& = \sqrt{( {@{results.paWithInteraction.ms}} - {@{results.repeatabilityWithInteraction.ms}}) /{@{prevPageData.repeat}}))} \\ & = @{results.stdDev.ap}\end{align}
$r=$ 반복수
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\begin{align}
{\%A \times PV} & = 100 \left[ {A \times PV} / {SV} \right] \\
& = 100 \left[ {@{results.stdDev.ap}} / {@{results.stdDev.totalVariation}} \right] \\& \approx \ @{svAPV} \%\end{align}
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\begin{align}
{\%A \times PV} & = 100 \times CL \left[ {A \times PV} / 공차 \right] \\
& = 100 \times {@{confidenceLevel}} \left[ {@{results.stdDev.ap}} / {@{info.tolerance}} \right] \\& \approx \ @{tolerAPV} \%\end{align}
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\begin{align}@{results.SamplesCrossOperators.VariacePercentage}\%\end{align} |
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부품 변동
PV
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\begin{align}
{PV} & = \sqrt{({MS}_{p} - {MS}_{e}' )/ lr}\\
& = \sqrt{(@{results.pWithInteraction.ms} - @{results.paWithInteraction.ms})/ (@{prevPageData.operators.Count} \times @{prevPageData.repeat})} \\& = @{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} |