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On the Mean and Variance of the Tetrachoric Correlation Coefficient
Morton B. Brown, Jacqueline K. Benedetti
Journal:

Psychometrika / Volume 42 / Issue 3 / September 1977

Published online by Cambridge University Press:

01 January 2025, pp. 347-355
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Estimates of the mean and standard deviation of the tetrachoric correlation are compared with their expected values in several 2 × 2 tables. Significant bias in the mean is found when the minimum cell frequency is less than 5. Three formulas for the standard deviation are compared and guidelines given for their use.

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On the Mean and Variance of the Tetrachoric Correlation Coefficient