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Educational and Psychological Measurement
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Tetrachoric Correlation

A Permutation Alternative

Michael A. Long

Colorado State University, mlong78{at}lamar.colostate.edu

Kenneth J. Berry

Colorado State University

Paul W. Mielke, Jr

Colorado State University

An exact permutation test is provided for the tetrachoric correlation coefficient. Comparisons with the conventional test employing Student's t distribution demonstrate the necessity of using the permutation approach for small sample sizes and/or disproportionate marginal frequency totals.

Key Words: tetrachoric correlation coefficient • dichotomous variables • small sample • permutation

This version was published on June 1, 2009

Educational and Psychological Measurement, Vol. 69, No. 3, 429-437 (2009)
DOI: 10.1177/0013164408324463
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