CMPControl-package: Control Charts for Conway-Maxwell-Poisson Distribution

In CMPControl: Control Charts for Conway-Maxwell-Poisson Distribution

Description

The main purpose of this package is to juxtapose the different control limits obtained by modelling a data set through the COM-Poisson distribution vs. the classical Poisson distribution. Accordingly, this package offers the ability to compute the COM-Poisson parameter estimates and plot associated Shewhart and true probability bounds for a given data set.

Details

Package:	CMPControl
Type:	Package
Version:	1.0
Date:	2014-04-05
License:	What license is it under?

For a given data set, the user can use the ControlCharts function to overlay any combination of the 3-sigma Shewhart CMP control chart, 3-sigma Shewhart classical Poisson control chart (c-chart), and the true CMP probability limits. The function also returns a list with relevant values relating to the control charts.

Author(s)

Kimberly Sellers, Luis Costa

Maintainer: Luis Costa <[e-mail]>

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.

Montgomery, Douglas C. "Introduction to Statistical Quality Control" (4th Ed). Wiley: New York, 2001.

Examples

ControlCharts(nonconformities,"Sample Number", "Number of nonconformities")

Example output

Loading required package: compoisson
Loading required package: MASS
$`CMP Lambda Hat and Nu Hat`
[1] 1.9370111 0.2554058

$`CMP Mean and Standard Deviation`
[1] 19.838957  7.193244

$`CMP Shewhart Upper and Lower Bounds`
[1] 41.418689 -1.740774

$`Poisson Mean and Standard Deviation`
[1] 19.846154  4.454902

$`Poisson Shewhart Upper and Lower Bounds`
[1] 33.210861  6.481447

$`Upper Out of Control Observations`
[1] 20

$`Lower Out of Control Observations`
[1] 6

$`CMP Probability Limits`
[1] 39  0

CMPControl documentation built on May 2, 2019, 2:17 a.m.