SPCShew-class: Shewhart charts.

Description Slots Examples

Description

Shewhart charts.

Slots

twosided

TRUE if a two-sided chart should be used. Default FALSE.

Examples

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X<-rnorm(100);
##calibrate to ARL 100
chartShew <- new("SPCShew",model=SPCModelNormal(),twosided=TRUE)
## Not run: 
SPCproperty(data=X,nrep=500,
            property="calARL",chart=chartShew,params=list(target=100),
            covprob=c(0.7,0.9))

chartShewOneSided <- new("SPCShew",model=SPCModelNormal(),twosided=FALSE)
SPCproperty(data=X,nrep=500,
            property="calARL",chart=chartShewOneSided,
            params=list(target=100),covprob=c(0.7,0.9))

##calibrate to a hitting probability of 0.01 in 100 steps
SPCproperty(data=X,nrep=500,
            property="calhitprob",
            chart=chartShew,params=list(target=0.01,nsteps=100))
SPCproperty(data=X,nrep=500,
            property="calhitprob",chart=chartShewOneSided,params=list(target=0.01,nsteps=100))

## work out  for ARL for a fixed threshold of 4
SPCproperty(data=X,nrep=500,
            property="ARL",chart=chartShew,params=list(threshold=4))
SPCproperty(data=X,nrep=500,
            property="ARL",chart=chartShewOneSided,
            params=list(threshold=4))

SPCproperty(data=X,nrep=500,
            property="hitprob",chart=chartShew,params=list(nsteps=100,threshold=4))

SPCproperty(data=X,nrep=500,
            property="hitprob",chart=chartShewOneSided,params=list(nsteps=100,threshold=4))

## End(Not run)

X<-rnorm(100)
chartShew <- new("SPCShew",model=SPCModelNormal())
## Not run: 
SPCproperty(data=X,nrep=500,
            property="calARL", chart=chartShew,
            params=list(target=1000))
SPCproperty(data=X,nrep=500,
            property="calhitprob",chart=chartShew,
            params=list(target=0.01,nsteps=100))
SPCproperty(data=X,nrep=10,chart=chartShew,
            property="ARL",params=list(threshold=3))
SPCproperty(data=X,nrep=500,
            property="hitprob",
            chart=chartShew,params=list(nsteps=100,threshold=4))

## End(Not run)

Example output

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70 % CI: A threshold of 2.69 gives an in-control ARL of at least 100. 
90 % CI: A threshold of 2.846 gives an in-control ARL of at least 100. 
Unadjusted result:  2.576 
Based on  500 bootstrap repetitions.

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70 % CI: A threshold of 2.441 gives an in-control ARL of at least 100. 
90 % CI: A threshold of 2.592 gives an in-control ARL of at least 100. 
Unadjusted result:  2.326 
Based on  500 bootstrap repetitions.

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90 % CI: A threshold of 4.258 gives an in-control false alarm
  probability of at most 0.01 within 100 steps. 
Unadjusted result:  3.889 
Based on  500 bootstrap repetitions.

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90 % CI: A threshold of 4.147 gives an in-control false alarm
  probability of at most 0.01 within 100 steps. 
Unadjusted result:  3.718 
Based on  500 bootstrap repetitions.

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90 % CI: A threshold of 4 gives an in-control ARL of at least 2988. 
Unadjusted result:  15787 
Based on  500 bootstrap repetitions.

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90 % CI: A threshold of 4 gives an in-control ARL of at least 6220. 
Unadjusted result:  31574 
Based on  500 bootstrap repetitions.

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90 % CI: A threshold of 4 gives an in-control false alarm probability
  of at most 0.03612 within 100 steps. 
Unadjusted result:  0.006314 
Based on  500 bootstrap repetitions.

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90 % CI: A threshold of 4 gives an in-control false alarm probability
  of at most 0.01453 within 100 steps. 
Unadjusted result:  0.003162 
Based on  500 bootstrap repetitions.

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90 % CI: A threshold of 3.441 gives an in-control ARL of at least 1000. 
Unadjusted result:  3.09 
Based on  500 bootstrap repetitions.

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90 % CI: A threshold of 4.113 gives an in-control false alarm
  probability of at most 0.01 within 100 steps. 
Unadjusted result:  3.718 
Based on  500 bootstrap repetitions.

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90 % CI: A threshold of 3 gives an in-control ARL of at least 354.1. 
Unadjusted result:  740.8 
Based on  10 bootstrap repetitions.

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90 % CI: A threshold of 4 gives an in-control false alarm probability
  of at most 0.0161 within 100 steps. 
Unadjusted result:  0.003162 
Based on  500 bootstrap repetitions.

spcadjust documentation built on May 1, 2019, 7:49 p.m.