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

## Documentation for package ‘spc’ version 0.6.5

- DESCRIPTION file.

## Help Pages

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