What’s New in SAS/QC 9.3
Overview
SAS/QC 9.3 includes
two new experimental procedures for multivariate process monitoring
and enhancements to the CAPABILITY, FACTEX, and RELIABILITY procedures.
The new MVPMODEL and
MVPMONITOR procedures are used together to monitor multivariate process
variation over time in order to determine whether the process is stable
or to detect changes in a stable process.
New MVPMODEL Procedure (Experimental)
The MVPMODEL procedure
provides computational and graphical tools for building a principal
components model from multivariate process data in which the measured
variables are continuous and correlated. This model then serves as
input to the MVPMONITOR procedure.
The MVPMODEL procedure
implements principal components analysis (PCA) techniques which evolved
in the field of chemometrics for monitoring hundreds or even thousands
of correlated process variables; refer to Kourti and MacGregor (1995,1996
) for an introduction. These techniques differ from the classical
multivariate
T2 chart
in which Hotelling’s
T2 statistic
is computed as a distance from the multivariate mean scaled by the
covariance matrix of the variables; refer to Alt 1985(). Instead,
principal component methods compute
T2 based
on a small number of principal components that model most of the variation
in the data.
The principal components
approach offers several advantages over the construction of the classical
T2 chart:
-
It avoids computational issues
that arise when the process variables are collinear and their covariance
matrix is nearly singular.
-
It offers diagnostic tools for
interpreting unusual values of
T2 .
-
By projecting the data to a low-dimensional
subspace, a principal components model more adequately describes the
variation in a multivariate process, which is often driven by a small
number of underlying factors which are not directly observable.
New MVPMONITOR Procedure (Experimental)
The MVPMONITOR procedure
produces control charts for multivariate process data. It reads output
data sets that contain statistics and principal components model information
and that were created by the MVPMODEL procedure. The MVPMONITOR procedure
creates two multivariate control charts:
T2 charts
and SPE (squared prediction error) charts. It can also create contribution
plots, in addition to score plots in some cases.
Multivariate control
charts detect unusual variation that would not be uncovered by individually
monitoring the variables with univariate control charts, such as Shewhart
charts. A major impetus in the development of multivariate control
charts is the inadequacy of individual univariate control charts when
working with correlated measurement variables. A multivariate control
chart can detect changes in the linear relationships of the variables
in addition to their marginal means and variances.
CAPABILITY Procedure Enhancements
The CAPABILITY procedure
supports five new fitted distributions for
SAS/QC 9.3:
-
-
inverse Gaussian distribution
-
generalized Pareto distribution
-
power function distribution
-
These new distributions
are available in the CDFPLOT, HISTOGRAM, PROBPLOT, PPPLOT, and QQPLOT
statements.
FACTEX Procedure Enhancements
In the FACTEX procedure,
the MAXCLEAR option has been added to the MODEL statement for
SAS/QC
9.3. The MAXCLEAR option requests "a design that maximizes the number
of clear interactions, those which are not aliased with any other
effects that are either required to be estimable or assumed to be
nonnegligible." In the context of resolution 4 designs, a MaxClear
design maximizes the number of two-factor interactions that are unaliased
with any other interaction.
RELIABILITY Procedure Enhancements
The RELIABILITY procedure
for
SAS/QC 9.3 includes enhancements related to fitting parametric
models for lifetime and recurrent events data. The RELIABLITY procedure
now enables you to do the following:
-
estimate parameters and construct
probability plots for the three parameter Weibull distribution
-
estimate the parameters of nonhomogeneous
Poisson process models for recurrent events data and plot the cumulative
mean and intensity functions
References
Alt, F. (1985), “Multivariate
Quality Control,”
Encyclopedia of Statistical Sciences,
Volume 6.
Kourti, T. and MacGregor,
J. F. (1995), “Process Analysis, Monitoring and Diagnosis,
Using Multivariate Projection Methods,”
Chemometrics
and Intelligent Laboratory Systems, 28, 3-21.
Kourti, T. and MacGregor,
J. F. (1996), “Multivariate SPC Methods for Process and
Product Monitoring,”
Journal of Quality Technology,
28, 409-428.
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