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Updated: Jul 13, 2026
08:12
A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
Published on: March 1, 2022
Resampling permutation probability values for six measures of qualitative variation.
Janis E Johnston1, Kenneth J Berry, Paul W Mielke
1Department of Sociology, Colorado State University, Fort Collins, CO 80523-1784, USA. janisj@lamar.colostate.edu
Perceptual and Motor Skills
|August 11, 2007
Summary
This study introduces a FORTRAN program for calculating six common measures of ordinal association, including Kendall
Area of Science:
- Statistics
- Data Analysis
Background:
- Ordinal association measures are crucial for analyzing ranked data.
- Existing methods for calculating these statistics can be complex.
Purpose of the Study:
- To provide a unified algorithm and FORTRAN program for six common ordinal association measures.
- To facilitate the computation and interpretation of these statistics in research.
Main Methods:
- Developed a FORTRAN program implementing an algorithm for six ordinal association measures.
- Included functionalities for reporting observed data, test statistics, and resampling probabilities.
- The program calculates Kendall's taua and taub, Stuart's tauc, Goodman and Kruskal's gamma, and Somers' dyx and dxy.
Main Results:
- The program, named ROMA, successfully computes the six specified ordinal association statistics.
- ROMA provides associated resampling upper- and lower-tail probability values for each statistic.
- The observed data table is also reported by the program.
Conclusions:
- The provided algorithm and FORTRAN program offer a convenient tool for researchers.
- ROMA enables efficient calculation and statistical assessment of ordinal association measures.
- This tool aids in the analysis of ranked data across various scientific disciplines.
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