TWO SEQUENTIAL TWO-SAMPLE GROUPED RANK TESTS WITH APPLICATIONS TO SCREENING EXPERIMENTS

Abstract

Two-sample Grouped rank tests are developed as the Configural Rank Test and the Rank-Sum Test. For both tests, observations are taken in groups of m X-observations and n Y-observations with the observations ranked within the groups. The sequential procedures relate to the usual decisions at the end of each group, namely to accept a null hypothesis, to accept an alternative hypothesis, or to take another group of observations. The implications of these hypotheses are discussed. The sequential methods are direct applications of Wald sequential analysis. The configural rank test depends on a probabilityratio statistic based on probabilities of the particular configuration of ordered observations obtained; the rank-sum test uses the withingroup rank sum for the Y-sample and probability ratios based on the probabilities for the rank sums. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1962
Accession Number
AD0276864

Entities

People

  • Frank Wilcoxon
  • L.j. Rhodes
  • Ralph A. Bradley

Organizations

  • Florida State University

Tags

DTIC Thesaurus Topics

  • Data Science
  • Hypotheses
  • Information Science
  • Mathematics
  • Observation
  • Probability
  • Sequential Analysis

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Statistical inference.
  • Team-Based Human-Centered Cognitive Task Decision Making and Information Performance.