mxarl {mxcc} | R Documentation |
Computation of ARL Curves for V chart and VSQ chart
Description
It calculates the Average Run Length (ARL) for either the V or VSQ control charts, based on the specified sample size, shift constant, and false alarm probability. The user can choose between the two types of control charts.
Usage
mxarl(n = 1, delta = seq(1, 3, length.out = 100), alpha = 0.0027, type = "V")
Arguments
n |
A numeric vector specifying the sample sizes. Default is |
delta |
A numeric vector specifying the shift constants for the control chart. Default is |
alpha |
A numeric value specifying the significance level (false alarm probability). Default is |
type |
A character string specifying the type of chart to be used. Can be either |
Details
This function computes the Average Run Length (ARL) for both V and VSQ control charts by calculating the power and ARL values for the given sample sizes and shift constants
Value
A plot showing the ARL curves for the specified sample sizes and shift constants
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
mxarl(n= c(5,10), delta = seq(1, 3, length.out = 100), alpha = 0.0027, type = "V")