On Making the Shortlist for the Selection of Candidates

Abstract

Let x(1) < or = ... x(n) and y(1) < or = ...y(m) be samples of order statistics from two populations F1 and F2 respectively. When the scores are pooled and ordered, we address the question 'what is the probability that the r largest x order statistics appear on a shortlist of k individuals?' This question underlies the selection of students, or of candidates for a job, and has implications in the selection process. This model is studied for general F1 and F2. Tables are given to calculate probabilities when F1 and F2 are normal distributions that differ only by location, and also when F1 and F2 are normal distributions with different means and variances, but there is only one x-value. (CP)

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Document Details

Document Type
Technical Report
Publication Date
Jun 26, 1990
Accession Number
ADA224567

Entities

People

  • Ingram Olkin
  • Michael A. Stephens

Organizations

  • Stanford University

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Biological Sciences
  • Classification
  • Data Science
  • Information Science
  • Military Research
  • Minority Groups
  • Multivariate Analysis
  • Normal Distribution
  • Order Statistics
  • Probability
  • Random Variables
  • Standards
  • Statistics
  • Students
  • Theorems
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Regression Analysis.