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. 2012 Sep 6;7(9):e42367. doi: 10.1371/journal.pone.0042367

Figure 4. Power and cost surfaces.

Figure 4

Power curves (red) and cost lines (blue) for the experimental conditions Inline graphic and Inline graphic (where Inline graphic is the disease prevalence, Inline graphic the population disease allele frequency, Inline graphic the stage 2 genotyping cost, and Inline graphic the ratio of controls to cases) are plotted as a function of the proportion of controls (Inline graphic) and cases (Inline graphic) genotyped in stage 1, holding the proportion of markers followed up in stage 2 (Inline graphic) at their cost minimizing values of 8.5% and 0.7% respectively. In the first case (top), power curves and cost lines are symmetric about the identify line, implying that the cost minimizing design will use equal case and control allocations. In the second (bottom) they are asymmetric, implying that the cost minimizing design will have unequal case and control allocations.