vMask.method1: Method 1 for V-Mask Implementation: Using \(\mu0\), \(d\) and \(\theta\)

Description

The V-mask method in vMask Package, is considered on the basis of variety of situations/information by different functions. One of these functions is vMask.method1 which can plot the V-mask based on \(\mu_0\), \(d\) and \(\theta\).

Usage

vMask.method1(data, mu0 = mean(data), d, theta = 14, sleep = 1)

Arguments

data

Type of inputted data must be a matrix with \(dim=c(m,n)\), in which \(m\) is size of samples and \(n\) is size of each subsample. Meanwhile, data can be a numerical vector where its elements are sub-sample means.

mu0

Target value for process mean, with default mean(data).

Suppose that \(O\) is the latest cumulative sum point (which duty of the V-mask is checking this point), and also \(P\) is the junction points of V-mask arms. Now, \(h\) is the distance between two points \(O\) and \(P\).

theta

half of the angle formed by the V-mask arms (in degrees).

sleep

Sleeping time (in second) of the program between showing figures. This time needs for see the result of checking \(i\)-th point on CUSUM control chart by V-mask. Also, if sleep="PressEnter", then the user must press key [Enter] in 'R Console' window to continue/check the next cumulative summation point on chart with V-mask.

Value

the vertical distance between the origin and the upper (or lower) arm of V-mask.

A vector of the cumulative differences between statistic (mean) values and the mean target value; i.e. \(c=(c_1, ..., c_m)\) where \(c_i=\sum_{j=1}^{i} (\bar{x}_j - \mu_0) \).

OutControl

The number of Out-of-control points in CUSUM chart.

InControl

The number of In-control points in CUSUM chart.

Details

The origin point of the V-Mask is placed over/top of the latest cumulative summation point and past points are examined to see if any fall above or below the arms of the V-mask. As long as all the previous points lie between the sides of the V-mask, the process is in control. Otherwise (even if one point lies outside) the process is suspected of being out of control.

Examples

Run this code

# NOT RUN {
### Example 1: (Data matrix)
m = 10	#The size of samples
n = 3 	#The size of each subsample
set.seed(123)
Data = matrix(rnorm(m*n, 1.5,3), nrow=m)
head(Data, 4)

vMask.method1( data=Data, d=4, theta=30, sleep="PressEnter")
vMask.method1( data=Data, d=4, theta=30, sleep=0)    #Check with sleep=1
vMask.method1( data=Data, d=4.5, theta=30, sleep=0)
vMask.method1( data=Data, mu0=0, d=4.5, theta=45, sl=0)

### Example 2: (Vectoral data) 
set.seed(123)
vMask.method1( data=rnorm(20, 1,2), mu0=0, d=8, theta=45, sl=0)
# }