Statistical Process Control - Calculation of ARL and Other Control Chart Performance Measures


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Documentation for package ‘spc’ version 0.6.8

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dphat Percent defective for normal samples
euklid.ewma.arl Compute ARLs of Poisson NCS-EWMA control charts
imr.arl Compute ARLs and control limit factors for I-MR combos in case of normal data
imr.MandRu Compute ARLs and control limit factors for I-MR combos in case of normal data
imr.MandRuRl Compute ARLs and control limit factors for I-MR combos in case of normal data
imr.Rl_Mgiven Compute ARLs and control limit factors for I-MR combos in case of normal data
imr.Rl_Rugiven Compute control limits of MR charts for normal data
imr.RuRl_alone Compute control limits of MR charts for normal data
imr.RuRl_alone_s3 Compute control limits of MR charts for normal data
imr.RuRl_alone_tail Compute control limits of MR charts for normal data
imr.Ru_Mgiven Compute ARLs and control limit factors for I-MR combos in case of normal data
imr.Ru_Rlgiven Compute control limits of MR charts for normal data
lns2ewma.arl Compute ARLs of EWMA ln S^2 control charts (variance charts)
lns2ewma.crit Compute critical values of EWMA ln S^2 control charts (variance charts)
mewma.ad Compute ARLs of MEWMA control charts
mewma.arl Compute ARLs of MEWMA control charts
mewma.arl.f Compute ARLs of MEWMA control charts
mewma.crit Compute alarm threshold of MEWMA control charts
mewma.psi Compute steady-state density of the MEWMA statistic
p.ewma.arl Compute ARLs of binomial EWMA p control charts
phat.ewma.arl Compute ARLs of EWMA phat control charts
phat.ewma.crit Compute ARLs of EWMA phat control charts
phat.ewma.lambda Compute ARLs of EWMA phat control charts
pois.cusum.arl Compute ARLs of Poisson CUSUM control charts
pois.cusum.crit Compute alarm thresholds and randomization constants of Poisson CUSUM control charts
pois.cusum.crit.L0L1 Compute the CUSUM k and h for given in-control ARL L0 and out-of-control ARL L1, Poisson case
pois.ewma.ad Compute steady-state ARLs of Poisson EWMA control charts
pois.ewma.arl Compute ARLs of Poisson EWMA control charts
pois.ewma.crit Compute ARLs of Poisson EWMA control charts
pphat Percent defective for normal samples
qphat Percent defective for normal samples
quadrature.nodes.weights Calculate quadrature nodes and weights
s.res.ewma.arl Compute ARLs of EWMA residual control charts
scusum.arl Compute ARLs of CUSUM control charts (variance charts)
scusum.crit Compute decision intervals of CUSUM control charts (variance charts)
scusums.arl Compute ARLs of CUSUM-Shewhart control charts (variance charts)
sewma.arl Compute ARLs of EWMA control charts (variance charts)
sewma.arl.prerun Compute ARLs of EWMA control charts (variance charts) in case of estimated parameters
sewma.crit Compute critical values of EWMA control charts (variance charts)
sewma.crit.prerun Compute critical values of of EWMA (variance charts) control charts under pre-run uncertainty
sewma.q Compute RL quantiles of EWMA (variance charts) control charts
sewma.q.crit Compute RL quantiles of EWMA (variance charts) control charts
sewma.q.crit.prerun Compute RL quantiles of EWMA (variance charts) control charts under pre-run uncertainty
sewma.q.prerun Compute RL quantiles of EWMA (variance charts) control charts under pre-run uncertainty
sewma.sf Compute the survival function of EWMA run length
sewma.sf.prerun Compute the survival function of EWMA run length
tewma.arl Compute ARLs of Poisson TEWMA control charts
tol.lim.fac Two-sided tolerance limit factors
x.res.ewma.arl Compute ARLs of EWMA residual control charts
xcusum.ad Compute steady-state ARLs of CUSUM control charts
xcusum.arl Compute ARLs of CUSUM control charts
xcusum.crit Compute decision intervals of CUSUM control charts
xcusum.crit.L0h Compute the CUSUM reference value k for given in-control ARL and threshold h
xcusum.crit.L0L1 Compute the CUSUM k and h for given in-control ARL L0 and out-of-control L1
xcusum.q Compute RL quantiles of CUSUM control charts
xcusum.sf Compute the survival function of CUSUM run length
xDcusum.arl Compute ARLs of CUSUM control charts under drift
xDewma.arl Compute ARLs of EWMA control charts under drift
xDgrsr.arl Compute ARLs of Shiryaev-Roberts schemes under drift
xDshewhartrunsrules.arl Compute ARLs of Shewhart control charts with and without runs rules under drift
xDshewhartrunsrulesFixedm.arl Compute ARLs of Shewhart control charts with and without runs rules under drift
xewma.ad Compute steady-state ARLs of EWMA control charts
xewma.arl Compute ARLs of EWMA control charts
xewma.arl.f Compute ARL function of EWMA control charts
xewma.arl.prerun Compute ARLs of EWMA control charts in case of estimated parameters
xewma.crit Compute critical values of EWMA control charts
xewma.crit.prerun Compute ARLs of EWMA control charts in case of estimated parameters
xewma.q Compute RL quantiles of EWMA control charts
xewma.q.crit Compute RL quantiles of EWMA control charts
xewma.q.crit.prerun Compute RL quantiles of EWMA control charts in case of estimated parameters
xewma.q.prerun Compute RL quantiles of EWMA control charts in case of estimated parameters
xewma.sf Compute the survival function of EWMA run length
xewma.sf.prerun Compute the survival function of EWMA run length in case of estimated parameters
xgrsr.ad Compute steady-state ARLs of Shiryaev-Roberts schemes
xgrsr.arl Compute (zero-state) ARLs of Shiryaev-Roberts schemes
xgrsr.crit Compute alarm thresholds for Shiryaev-Roberts schemes
xs.res.ewma.arl Compute ARLs of EWMA residual control charts
xs.res.ewma.pms Compute ARLs of EWMA residual control charts
xsewma.arl Compute ARLs of simultaneous EWMA control charts (mean and variance charts)
xsewma.crit Compute critical values of simultaneous EWMA control charts (mean and variance charts)
xsewma.q Compute critical values of simultaneous EWMA control charts (mean and variance charts) for given RL quantile
xsewma.q.crit Compute critical values of simultaneous EWMA control charts (mean and variance charts) for given RL quantile
xsewma.sf Compute the survival function of simultaneous EWMA control charts (mean and variance charts)
xshewhart.ar1.arl Compute ARLs of modified Shewhart control charts for AR(1) data
xshewhartrunsrules.ad Compute ARLs of Shewhart control charts with and without runs rules
xshewhartrunsrules.arl Compute ARLs of Shewhart control charts with and without runs rules
xshewhartrunsrules.crit Compute ARLs of Shewhart control charts with and without runs rules
xshewhartrunsrules.matrix Compute ARLs of Shewhart control charts with and without runs rules
xtcusum.arl Compute ARLs of CUSUM control charts
xtewma.ad Compute steady-state ARLs of EWMA control charts, t distributed data
xtewma.arl Compute ARLs of EWMA control charts, t distributed data
xtewma.q Compute RL quantiles of EWMA control charts
xtewma.q.crit Compute RL quantiles of EWMA control charts
xtewma.sf Compute the survival function of EWMA run length
xtshewhart.ar1.arl Compute ARLs of modified Shewhart control charts for AR(1) data with Student t residuals