A PAIR OF NONPARAMETRIC INDICES OF AGREEMENT AND DISAGREEMENT,

Abstract

A new nonparametric index of agreement, A, and its complement, D = 1- A, an index of disagreement, based on multiple agreements and disagreements, are described. These statistics are compared with a pair of complementary indices, alpha and delta= 1-a, based on pairwise agreements and disagreements. Expressions for A and D are presented and their sampling distributions, expected values, biases, sampling variances, and limiting forms are derived. Tables of sampling probabilities, significantly extreme values, expected values, and standard errors are presented for A, D, alpha and delta. An example is given and the statistics are interpreted. A and D are compared with the pairwise indices with respect to several sampling properties. The proposed indices of agreement and disagreement, A and D, should prove useful as nonparametric measures of reliability and discrimination. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 09, 1963
Accession Number
AD0431642

Entities

People

  • James N. Cronholm

Organizations

  • United States Army Medical Research Laboratory

Tags

DTIC Thesaurus Topics

  • Agreements
  • Data Science
  • Discrimination
  • Information Science
  • Mathematics
  • Probability
  • Reliability
  • Sampling
  • Standards
  • Statistics

Readers

  • Regression Analysis.