SINGLE-STAGE PROCEDURES FOR RANKING MULTIPLY-CLASSIFIED VARIANCES OF NORMAL POPULATIONS.

Abstract

The author and Sobel have proposed single-stage procedures for ranking the variances of normal populations which are classified according to a single qualitative factor. Using the multiplicative model for variances introduced by the author in an earlier paper, it is shown how to generalize these procedures so that they can deal with situations in which the variances are classified according to two or more qualitative factors. The rationale of such experiments is discussed. Goals and associated probability requirements and procedures are described. Explicit expressions for the exact probability of a correct selection, using the proposed procedures, are obtained for certain special cases. The determination of sample size to guarantee the probability requirement is considered, 'large-sample' approximations to these sample sizes are given, and the accuracy of the approximations is assessed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1968
Accession Number
AD0668921

Entities

People

  • Robert E. Bechhofer

Organizations

  • Cornell University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Probability

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.