Thomas Alun
University of Utah.
Comput Stat Data Anal. 2009 Mar 15;53(5):1818-1828. doi: 10.1016/j.csda.2008.02.003.
Estimation of graphical models whose conditional independence graph comes from the general class of decomposable graphs is compared with estimation under the more restrictive assumption that the graphs are interval graphs. This restriction is shown to improve the mixing of the Markov chain Monte Carlo search to find an optimal model with little effect on the haplotype frequencies implied by the estimates. A further restriction requiring intervals to cover specified points is also considered and shown to be appropriate for modeling associations between alleles at genetic loci. As well as usefully describing the patterns of associations, these estimates can also be used to model population haplotype frequencies in statistical gene mapping methods such as linkage analysis and association studies.
将条件独立图来自可分解图的一般类别的图形模型估计与在更严格假设（即图为区间图）下的估计进行比较。结果表明，这种限制可改善马尔可夫链蒙特卡罗搜索的混合效果，以便找到最优模型，且对估计所隐含的单倍型频率影响很小。还考虑了另一种要求区间覆盖指定点的限制，结果表明这种限制适用于对基因座上等位基因之间的关联进行建模。这些估计不仅能有效地描述关联模式，还可用于在诸如连锁分析和关联研究等统计基因定位方法中对群体单倍型频率进行建模。
