IQCC (version 1.0)

graphsubII: Sub group Phase II Hotelling Control Chart.

Description

Builds the sub group phase II Hotelling control chart.

Usage

graphsubII(T2II, m, n, j, t, p)

Arguments

T2II

A vector with the value of T2 statistic for one sample.

m

The number of sub groups generated previously in datasubI.

n

The size of each sub group used previously in datasubI.

j

The index of the current sample.

t

The maximum value of the x axis.

p

The dimension used previously in function datasubI.

Value

• Return a control chart.

Details

It builds the Hotelling T2 control chart for multivariate normal data (sequential sub-groups/samples of size n>1) to be used in the operational phase ( known as phase II) ; the control limits are based on the F distribution.

References

Montgomery, D.C.,(2008)."Introduction to Statistical Quality Control". Chapter 11. Wiley

See Also

graphindI,graphindII,graphsubI

Examples

mu<-c(5.682,88.22)
Sigma<-symMatrix(c(3.770,-5.495,13.53),2)
datum<-datasubI(20,10,mu,Sigma,2)
estat<-estatauxsub(datum,20,10,2)
datum2<-datasubII(estat,10,p=2)
T2II<-T2subII(datum2,estat,10)
# for the first sample j=1. T2II is a vector with the value of the firts T2 statistic.
graphsubII(T2II,20,10,1,25,2)