We next compared the power of the mCLR design with the combined association analysis using a model that favors the combined association analysis. Data are generated with no population structure (C = 1) so that matching is unnecessary. In this scenario it is well known that matching leads to a modest loss in power [35]. Using 500 controls and 500 trios, we calculated the power for ψ ranging from 1 to 2. From Figure 6(a), we can see that even in the worst case scenario, mCLR exhibits only a modest loss of power. The greatest loss of power occurred in the interval 1.1 < ψ < 1.4, with a maximum reduction of 6 per cent occurring at ψ 1.2.
