In Table 2 we provide false positive ratios for a three phenotype example. We used the same script as for two phenotype example, changing the number of phenotypes in the script and the corresponding coefficients of three random normal variables. Three columns of the table showing coefficients defined the same way as in two phenotype case. For example (0.6, 0.7, 0.1) for phenotype 1 means that phenotype 1 is defined as 0.6z1+0.7z2+0.1z3. Note that in three phenotype case we used linear combinations of three normal variables.