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CMPControl (version 1.0)

ControlCharts: Parameter estimation and control chart construction

Description

Computes the COM-Poisson parameters (lambda and nu) for a given data set and plots any combination of the 3-sigma COM-Poisson Shewhart control chart, the 3-sigma classical Poisson Shewhart control chart, and the data set's true COM-Poisson probability limits.

Usage

ControlCharts(data, xlabel, ylabel, CMP=TRUE, P=TRUE, CMPProb=TRUE)

Arguments

data
The data set in question, as a vector
xlabel
The desired x-axis label, inputted in quotation marks
ylabel
The desired y-axis label, inputted in quotation marks
CMP
Input CMP=TRUE to plot the 3-sigma COM-Poisson Shewhart control chart and CMP=FALSE to not plot it. Defaults to TRUE.
P
Input P=TRUE to plot the 3-sigma classical Poisson Shewhart control chart and P=FALSE to not plot it. Defaults to TRUE.
CMPProb
Input P=TRUE to plot the true CMP probability limits and P=FALSE to not plot them. Defaults to TRUE.

Value

ControlCharts plots any combination of the 3-sigma COM-Poisson Shewhart control chart, the 3-sigma classical Poisson Shewhart control chart, and the data set's true COM-Poisson probability limits. By default, the code overlays the three control charts. However, users may omit one or more control charts by switching the Boolean value of the control charts they wish to omit to FALSE when running the code.The code also returns a list containing the following values:
CMP Lambda Hat and Nu Hat
CMP parameters Lambda and Nu for the given data
CMP Mean and Standard Deviation
The CMP mean and standard deviation of the data
CMP Shewhart Upper and Lower Bounds
3-Sigma upper and lower CMP bounds
Poisson Mean and Standard Deviation
The classical Poisson mean and standard deviation of the data
Poisson Shewhart Upper and Lower Bounds
3-Sigma upper and lower classical Poisson bounds
Upper Out of Control Observations
Observations that lay above the upper control limits
Lower Out of Control Observations
Observations that lay below the lower control limits
CMP Probability Limits
Values of the true CMP probability limits

Details

This function depends on the compoisson package.

References

Sellers, Kimberly F. "A Generalized Statistical Control Chart for Over- or Under-Dispersed Data." Quality and Reliability Engineering International 2012. ; 28:59-65.

Saghir, A., Lin, Z., Abbasi, S. A., Ahmad, S. "The Use of Probability Limits of COM-Poisson Charts and their Applications." Quality and Reliability Engineering International 2013 ; 29:759-770.