mxrpc {mxcc} | R Documentation |
V chart and VSQ chart Construction for Real Process Control
Description
The mxrpc
function constructs control limits for the V and VSQ control charts using real data. It allows the user to specify the value of alpha
, the type of control limit (Probability Limit Control Chart or K-Sigma Control Chart), and the type of control chart (V or VSQ). The function provides a brief summary of control chart parameters.
Usage
mxrpc(data, alpha = 0.0027, limit = "PCL", chart = "V", summary = FALSE)
Arguments
data |
A data frame containing real-world observations for which the control charts will be constructed. |
alpha |
The false alarm probability for control limit calculation. Default is |
limit |
The type of control limit to be used: either "PCL" for Probability Limit Control Chart or "KCL" for K-Sigma Control Chart. Default is |
chart |
The type of control chart to construct: either "V" for V chart or "VSQ" for VSQ chart. Default is |
summary |
Logical value indicating whether to display a short summary of control chart parameters. Default is |
Details
This function takes a real data set and generates control charts (V or VSQ) based on the specified control limit type (PCL or KCL). When summary = TRUE
, the function outputs a brief summary of the control chart parameters, including the control limits, central line, and the values used for constructing the chart. For a more comprehensive summary and graphical display of the selected chart, users are referred to the summary()
and plot()
functions.
Value
An invisible list containing the following components:
-
v
: A vector of plotting statistics. -
data
: A real input data frame -
LCL
: Lower control limit. -
CL
: Central line. -
UCL
: Upper control limit. -
m
: Number of subgroups. -
n
: Sample size per subgroup. -
sig
: Estimated sigma value. -
limit
: Type of control limit used. -
chart
: Type of control chart constructed.
If summary = TRUE
, the function also prints a textual summary of contructed Maxwell control chart.
Author(s)
Zahid Khan
References
Hossain, M.P., Omar, M.H. and Riaz, M. (2017) "New V control chart for the Maxwell distribution". Journal of Statistical Computation and Simulation, 87(3), pp.594-606. <doi:10.1080/00949655.2016.1222391>
Shah, F., Khan, Z., Aslam, M. and Kadry, S. (2021) "Statistical Development of the VSQ‐Control Chart for Extreme Data with an Application to the Carbon Fiber Industry". Mathematical Problems in Engineering, 2021(1), p.9766986. <doi:10.1155/2021/9766986>
See Also
Examples
mxrpc(data=strength_data, alpha = 0.0027, limit = "PCL", chart = "VSQ",summary=TRUE)