TETREST: A Fortran IV Program for Calculating Tetrachoric Correlations.

Abstract

A general purpose computer program for the calculation of a matrix of tetrachoric correlations is described. This program was developed for use in adaptive (and other) testing research for examining the unidimensionality assumption in latent trait theory, in conjunction with available factor analysis programs. Several other potential applications, as well as details for its use, are described. The program accepts as input raw dichotomous data, reduced joint frequency data, or joint and marginal proportions, for up to 75 items. Output options include the tetrachoric correlation matrix, the matrix of phi coefficients, fourfold frequency tables for every item pair, a joint frequency matrix (which reduces all the information in the fourfold tables to a square matrix with order equal to the number of items), and a pair-by-pair listing of input proportions and output correlations which permits testing the program against published tables of the tetrachoric correlation. Variable input and output formatting makes the program convenient to the use in conjunctions with other analyses by packaged statistical programs. Examples of input and output are presented. A complete FORTRAN 4 listing is included.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1975
Accession Number
ADA007572

Entities

People

  • David J. Weiss
  • James R McBride

Organizations

  • University of Minnesota

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Computer Programs
  • Computers
  • Data Science
  • Factor Analysis
  • Frequency
  • Information Science

Readers

  • Computer Science.
  • Psychometric Testing or Psychological Assessment.
  • Regression Analysis.