SPEARMAN'S FOOTRULE - AN ALTERNATIVE RANK STATISTIC

Abstract

A known but neglected rank statistic - Spearman's Footrule - is examined. Formulas are given for its mean and variance and the covariance with better known rank statistics. A very thorough numerical description is given, including the exact sampling distributions for up to ten ranks when all permutations are equally likely and approximate results up to twenty. The statistic appears to be asymptotically normal but this has not been proven. There are numerous applications for this statistic in non-parametric testing, but they are not discussed in this report.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1962
Accession Number
AD0403502

Entities

People

  • D. C. Kleinecke
  • H. K. Ury

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Covariance
  • Data Science
  • Information Science
  • Interdisciplinary Science
  • Lepidoptera
  • Mathematics
  • Permutations
  • Sampling
  • Statistical Analysis
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.
  • Structural Dynamics.