Simulated intraclass correlation coefficients and theirztransforms
- 1 June 1981
- journal article
- research article
- Published by Taylor & Francis in Journal of Statistical Computation and Simulation
- Vol. 13 (1) , 13-26
- https://doi.org/10.1080/00949658108810471
Abstract
We examined three issues: (1) properties of the intraclass correlation coefficient (r 1); (2) normality of its z transform; and (3) Fisher's formula for the variance of z. To do this we simulated 1,000 samples of r 1 and of z for several values of p, both for equal and for unequal family sizes. Those samples permitted us to evaluate some of Fisher's remarks on the bias, variance, and normally of r 1 Furthermore, they showed us that all simulated z transforms were normally distributed with variances that agreed with the values calculated from a modification of Fisher's formula. Those last two results affirm the applicability of the z transform and of Fisher's modified formula to studies in human genetics involving unequal family sizes.Keywords
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