GVcontrol: Control Chart for the generalized variance |S|
Description
This function makes a control chart of the generalized variance, |S|.
Usage
GVcontrol(DF,m,n,p)
Arguments
DF
input - this is dataframe containing the subgrouped multivariate data. One line for each observation and one column for each variable or quality characteristic being monitored. The first column is a subgroup indicator numbered from 1 to m, with n repeats of each. There should be m x n rows and p + 1 columns.
m
input this is the number of observations in each subgroup
n
input this is the known (or estimate from a Phase I study) mean vector of the variables
p
input this is the number of quality characteristics
Value
returned list containing the upper control limit, the covariance matrix (S), the generalized variance (|S|), the mean vector (mu), and a vector of the generalized variances (|Si|, i=1,2,...m) within each subgroup.
References
Alt, F. B. (1985) "Multivariate Quality Control", Encyclopedia of Statistical Sciences, Vol. 6 Editors N. L. Johnson and S. Kotz, John Wiley and Sons, N. Y.