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Two generic conceptual models of heterogeneity are investigated, a vertical clogging layer and a horizontal sand string.
However, over a range of models of heterogeneity in allelic effects between genders, our sex-differentiated meta-analysis of sex-specific GWAS offers substantial gains in power.
Both of these processes could be accommodated by the CSC model, as well as the hierarchical and stochastic models of heterogeneity.
In the remaining panels of Figure 3, corresponding to models of heterogeneity in allelic effects between populations, the fixed-effect MANTRA analysis (K = 1) has substantially less power than the random-effect analysis (K = N) or the unconstrained analysis.
This approach yields substantial improvements in performance, compared to fixed-effects meta-analysis, both in terms of power to detect association, and localization of the causal variant, over a range of models of heterogeneity between ethnic groups.
However, in each of the models of heterogeneity between populations presented in the remaining panels of Figure 4, the mean posterior probability increases with allelic effect size, as expected.
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Multiple-point statistics (MPS) has shown promise in portraying complex geometries realistically; however, realizations are limited by the reliability of the model of heterogeneity upon which MPS relies, that is the Training Image (TI).
Appropriate modelling of heterogeneity variances in MTCs will become increasingly important over the next years.
It is this array that enables the integrated modeling of heterogeneity in three dimensional data.
Tree-Puzzle was run with a two-rate model of heterogeneity, the Dayhoff model of substitution and 50 000 puzzling steps.
The profile-matrix spectrum of the string can be considered as a stochastic model of heterogeneity manifestation in textual strings that are realizations of the string.
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