SOME SEQUENTIAL ANALOGS OF STEIN'S TWO-STAGE TEST

Abstract

Several sequential analogs of Stein's two-stage test procedure are presented for testing hypotheses about the mean of a normal population with unknown variance and with specified error probabilities. When sequential experimentation is feasible, they provide alternatives to the sequential normal test (variance known) or the sequential t-test. If the variance is assumed known, the procedures may still be recommended since the added cost may be only a very few additional observations on the average, and the performance of the tests does not depend on the validity of any assumption about the variance. Unlike the t-test, these procedures do not require that the alternative hypothesis be specified in standard deviation units.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1961
Accession Number
AD0268154

Entities

People

  • William Jackson Hall

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Energy and Power Technologies
  • Human Systems

DTIC Thesaurus Topics

  • Boundaries
  • Data Science
  • Distribution Functions
  • Government Procurement
  • Governments
  • Information Science
  • Military Research
  • New York
  • Normal Distribution
  • North Carolina
  • Observation
  • Probability
  • Sequential Analysis
  • Standards
  • Statistics
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.