cchart.T2.2: Phase II Hotelling Control Chart. In IQCC: Improved Quality Control Charts

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. `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

 ``` 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) ```