Add a New Observation to a Phase II T² Chart

Add a new Phase II point to an existing Hotelling T² chart. Computes the T² statistic via T2.2 and plots it. Use after cchart.T2.2 to build the chart incrementally.

Usage

add.data(datum2, estat, T2II, n, j, m = NULL)

Arguments

datum2: New Phase II data (vector for \(n = 1\), matrix for \(n > 1\)).
estat: Phase I statistics (list from stats).
T2II: Previous T² vector (updated in calling code).
n: Subgroup size. Use \(n = 1\) for individual observations, \(n > 1\) for subgroups.
j: Index of this new sample.
m: Optional. Number of Phase I samples (needed if Phase I data is shown).

Value

Invisibly, the new T² statistic.

Details

To use this function it is necessary to have the output given by the function T2.2. At every step you should enter the new data set.

Author

Daniela R. Recchia, Emanuel P. Barbosa

Examples


mu <- c(5.682, 88.22)
Sigma <- miscTools::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)
#Not showing the phase I data set.
cchart.T2.2(T2II, 20, 10, 1, 25, 2)
datum3 <- data.2(estat, 10, p = 2)
add.data(datum3, estat, T2II, 10, 2)

#Showing the phase I data set.
cchart.T2.2(T2II, 20, 10, 1, 25, 2, datum = datum)
datum3 <- data.2(estat, 10, p = 2)
add.data(datum3, estat, T2II, 10, 2, 20)


#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)
#Not showing the phase I data set.
cchart.T2.2(T2II, 50, 1, 1, 25, 2)
datum3 <- data.2(estat, 1, p = 2)
add.data(datum3, estat, T2II, 1, 2)

#Showing the phase I data set.
cchart.T2.2(T2II, 50, 1, 1, 25, 2, datum = datum)
datum3 <- data.2(estat, 1, p = 2)
add.data(datum3, estat, T2II, 1, 2, 50)