Journal ArticleDOI
Sequential x 2 - and T2-Tests and Their Application to an Acceptance Sampling Problem
TLDR
In this paper, the authors discuss some sequential multivariate techniques used in testing means both for the one-and two-sample cases, where the covariance matrix is known and when the population covariance is not known, a sequential x 2-test is employed.Abstract:
The purpose of thii paper is to discuss some sequential multivariate techniques used in testing means both for the one- and two-sample cases. When the population covariance matrix is known, a sequential x 2-test is employed. When the population covariance matrix is not known, this is replaced by a sequential T2-test. Some properties of these tests are discussed and certain other procedures are suggested for use in testing the assumption that the covariance matrix is known. These sequential procedures are then illustrated in a problem involving the acceptance sampling of ballistic missiles.read more
Citations
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Journal ArticleDOI
Multivariate quality control
TL;DR: In this paper, the authors discuss the motivation for multivariate quality control, and a discussion of some of the techniques currently available, focusing primarily on control charts and including the T2 -chart, the use of principal components anm some recent developments.
Journal ArticleDOI
A mulvariate measure of process Capability
TL;DR: In this paper, a measure of process capability for the multivariate normal case is proposed, which takes into account both proximity to the target and the variation observed in the process, and some statistical properties associated with the measure are examined.
Journal ArticleDOI
Quality control methods for multivariate binomial and poisson distributions
TL;DR: In this paper, the authors deal with methods of quality control when observation-vectors are coming from a multivariate binomial or multivariate Poisson population, under certain assumptions.
Journal ArticleDOI
Exact calculations for sequential t, X2 and F tests
TL;DR: In this article, sequential and group sequential procedures are proposed for monitoring repeated t, X2or F statistics. But these procedures can be used to construct sequential hypothesis tests or repeated confidence intervals when the parameter of interest is a normal mean with unknown variance or a multivariate normal means with variance matrix known or known up to a scale factor.
Journal ArticleDOI
Sequential detection of changes in stochastic systems
TL;DR: This chapter is concerned with sequential detection of changes in stochastic systems based upon the local approach for testing statistical hypotheses and different extensions of the cumulative sum algorithm.
References
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Book
An Introduction to Multivariate Statistical Analysis
TL;DR: In this article, the distribution of the Mean Vector and the Covariance Matrix and the Generalized T2-Statistic is analyzed. But the distribution is not shown to be independent of sets of Variates.
Journal ArticleDOI
Introduction to Multivariate Statistical Analysis.
William G. Madow,T. W. Anderson +1 more