For comparing the power of the classical χ2 test and the corrected χ2 test with various kinship coefficients, we performed simulations based on Scenario III. The genotype of the trait locus was simulated under a disease allele frequency of 0.5, with affected status assigned based on the simulated genotypes at the trait locus and the penetrance probabilities shown in Table III. This yielded a variable number of cases and controls over replicates. The mean sizes of the case and control samples were reported with their standard deviations in Table III. The power of the χ2 test and the corrected χ2 test were estimated from 10,000 replicates.