Phase II Hotelling Control Chart.

Share:

Description

Builds the sub group phase II Hotelling control chart.

Usage

1
cchart.T2.2(T2II, m, n, j, t, p, datum = NULL, stats = NULL, T2 = NULL)

Arguments

T2II

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

m

The number of samples generated previously in data.1.

n

The size of each sample used previously in data.1. If they are individual observations, use n = 1.

j

The index of the current sample.

t

The maximum value of the x axis.

p

The dimension used previously in function data.1.

For showing the phase I data set in the plot, one of the arguments below must be used (only one of them is necessary).

datum

The data set used in phase I.

stats

The auxiliary statistics created by the function stats.

T2

The Hotelling T2 statistic for multivariate observations at phase I created by the function T2.1.

Details

It builds the Hotelling T2 control chart for multivariate normal data to be used in the operational phase (known as phase II); the control limits are based on the F distribution.

Value

Return a control chart.

Author(s)

Daniela R. Recchia, Emanuel P. Barbosa

References

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

See Also

cchart.T2.1

Examples

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
mu <- c(5.682, 88.22)
Sigma <- symMatrix(c(3.770, -5.495, 13.53), 2)
datum <- data.1(20, 10, mu, Sigma)
estat <- stats(datum, 20, 10, 2)
datum2 <- data.2(estat, 10, p = 2)
T2II <- T2.2(datum2, estat, 10)
# For the first sample j = 1. T2II is a vector with the value of the firts T2 statistic.
cchart.T2.2(T2II, 20, 10, 1, 25, 2)
# Same of the above, but now showing the phase I data set.
cchart.T2.2(T2II, 20, 10, 1, 25, 2, datum = datum)

#Example with individual observations
datum <- data.1(50, 1, mu, Sigma)
estat <- stats(datum, 50, 1, 2)
datum2 <- data.2(estat, 1, p = 2)
T2II <- T2.2(datum2, estat, 1)
# For the first sample j = 1. T2II is a vector with the value of the firts T2 statistic.
cchart.T2.2(T2II, 50, 1, 1, 25, 2)
# Same of the above, but now showing the phase I data set.
cchart.T2.2(T2II, 50, 1, 1, 25, 2, datum = datum)