Statistics used in computing and drawing the Hotelling T^2 chart for subgrouped data
stats.T2.Rd
These functions are used to compute statistics required by the \(T^2\) chart.
Value
The function stats.T2
returns a list with components:
- statistics
a vector of values for the \(T^2\) statistic
- means
a matrix of within group means for each variable
- center
sample/group center statistic
- S
covariance matrix
The function limits.T2
returns a list with components:
- control
control limits
- prediction
pred.limits
References
Mason, R.L. and Young, J.C. (2002) Multivariate Statistical Process Control with Industrial Applications, SIAM.
Montgomery, D.C. (2013) Introduction to Statistical Quality Control, 7th ed. New York: John Wiley & Sons.
Ryan, T. P. (2011), Statistical Methods for Quality Improvement, 3rd ed. New York: John Wiley & Sons, Inc.