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Figure 3. Simulation of Type I error under the naive, simple, and mixed models using 45 random simple sequence repeat (SSR) loci and all traits combined. Cumulative distribution of P values is presented for a naive model (not accounting for multiple levels of relatedness) and Q (accounting for population structure), K' (an alternative kinship-based model), QK' (with the alternative kinship estimates), and QK (accounting for both population structure and kinship) mixed models. Assuming that these markers are unlinked to the polymorphisms controlling these traits, methods that appropriately control for Type I error should show a uniform distribution of P values (e.g., the diagonal line in this cumulative plot). The K model (controlling for familial relatedness or kinship), is not shown as it exhibited poor convergence properties.
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