seminars:stat:201112
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| + | With the development of next generation sequencing technology, | ||
| + | researchers have now been able to study the microbiome composition using | ||
| + | direct sequencing, whose output are bacterial taxa counts for each | ||
| + | microbiomesample. One goal of microbiome study is to associate the | ||
| + | microbiome composition with environmental covariates. This paper | ||
| + | proposes to model the taxa counts using a Dirichlet-multinomial (DM) | ||
| + | regression model in order to account for overdispersion of observed | ||
| + | counts. The DM regression model can be used for testing the association | ||
| + | between taxa composition and covariates using the likelihood ratio test. | ||
| + | However, when the number of covariates is large, multiple testing can | ||
| + | lead to loss of power. To address the high dimensionality of the | ||
| + | problem, a penalized likelihood approach is proposed to estimate the | ||
| + | regression parameters and to select the variables by imposing a sparse | ||
| + | group l_2 penalty to encourage both group-level and within-group | ||
| + | sparsity. Such a variable selection procedure can lead to selection of | ||
| + | the relevant covariates and their associated bacterial taxa. An | ||
| + | efficient block-coordinate descent algorithm is developed to solve the | ||
| + | optimization problem in this paper. The authors also demonstrate the | ||
| + | power of the method in the analysis of a data set evaluating the | ||
| + | nutrient intake on the human gut microbiome. | ||
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