Some Rank-Order Tests for Trend in a Set of Correlated Means,

Abstract

A statistic, J, has been proposed as a test for the differences between a set of n correlated means when m subjects have been subjected to n treatments. The null hypothesis is that all pormutations of the n scores for each subject are equally likely. The alternative hypothesis is that there is a trend which can be specified by the experimenter in the form of a theoretical rank-order. The J statistic is the sum of the S(d-squared) values that can be computed between the hypothetical rank-order and the observed rank-order for each of the m subjects. It is therefore equivalent to an average Spearman rank-order correlation. There is no parametric test that can be substituted for the non-parametric trend test.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1957
Accession Number
ADA074102

Entities

People

  • Ardie Lubin

Organizations

  • Walter Reed Army Institute of Research

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Combinatorial Analysis
  • Data Science
  • Discrimination
  • Experimental Design
  • Information Science
  • Learning
  • Measurement
  • Military Research
  • Normal Distribution
  • Permutations
  • Probability
  • Probability Distributions
  • Random Variables
  • Reaction Time
  • Symmetry

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.