Accession Number:

AD0741207

Title:

Sequential Multivariate Quality Control Tests Using Tolerance Regions

Descriptive Note:

Technical rept.

Corporate Author:

SOUTHERN METHODIST UNIV DALLAS TX DEPT OF STATISTICAL SCIENCE

Personal Author(s):

Report Date:

1971-04-01

Pagination or Media Count:

88.0

Abstract:

Two new developments, multivariate sequential significance tests and a method of forming multivariate two-sample tolerance tests, are proposed. The sequential significance test considered is a fixed-length succession of two-sample subtests where each subtest reuses some or all of the data for preceding subtests. By proper choice of the subtest statistics and use of a permutation basis the subtests are made independent. The class of multivariate two-sample tolerance tests developed by the proposed method are directly applicable as subtests in the sequential significance tests. The proposed method is based on a new technique of constructing tolerance regions for the two-sample problem. Subject to certain mild limitations the analyst may actually look at the combined observed vector values in order to construct the desired tolerance regions.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE