Block Bootstrap Method
Rapidly evolving high-throughput sequencing technology enables the comprehensive search for microbial biomarkers using longitudinal experiments. Such experiments consist of repeated biological observations from each subject over time and are essential in accounting for the high between-subject and within-subject variability.
Longitudinal microbiome data are used to either model abundance over time or compare the abundances of bacteria between two or more cohorts. We have devised a method for making nonparametric inferences in longitudinal microbiome data in the latter case.
The proposed resampling method combined moving block bootstrap (MBB) method (Lahiri 2013), empirical subsampling method (Hall, Horowitz, and Jing 1995), mixture model (McMurdie and Holmes 2014), generalized linear model (Diggle 2002), generalized estimating equation (Liang and Zeger 1986), median-ratio method (Anders and Huber 2010), and shrinkage estimation(Robbins 1956; Stephens 2016) to enabling inference on microbiome longitudinal data. With the optimal block size computed using subsampling, the MBB method accounts for within-subject dependency by using overlapping blocks of repeated observations within each subject to draw valid inferences based on approximately pivotal statistics. This resampling method for dependent data was motivated by the literature on the block bootstrap method for time series data along with subsampling method for optimal block size estimation.
The manuscript is available at arXiv.
Bayesian Inference for Removing DNA Contaminants in Low-Biomass Samples
With the potential to diagnose any known microbial organism, metagenomic Next-Generation Sequencing (NGS) has been regarded as a tool that will revolutionize infectious disease diagnostics. NGS removes the need for a pre-informed hypothesis from clinicians, detects nonculturable organisms, and can be optimized to include a turnaround time of 24-48 hours. Only recently, however, has the scientific community begun to understand the pitfalls of NGS. Microbial nucleic acids from reagent and lab environment contamination have been shown to result in signals that researchers falsely infer to be the cause of a patient’s illness. This problem is exacerbated in low biomass samples, such as plasma, where more than 99% of sequencing reads align to the human genome .
Although extracting and sequencing molecular-grade water to provide negative controls helps overcome this issue, downstream analysis can still be challenging because many common contaminants are also clinically relevant organisms. Computational methods to identify contaminants in ultra-low biomass samples are limited.
SIRS (In preparation)
Healthy Flossing (In preparation)
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Diggle, Peter. 2002. Analysis of Longitudinal Data. Oxford University Press.
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Lahiri, Soumendra Nath. 2013. Resampling Methods for Dependent Data. Springer Science & Business Media.
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McMurdie, Paul J, and Susan Holmes. 2014. “Waste Not, Want Not: Why Rarefying Microbiome Data Is Inadmissible.” PLoS Comput Biol 10 (4). Public Library of Science: e1003531.
Robbins, Herbert. 1956. “An Empirical Bayes Approach to Statistics.” Columbia University, New York City, United States.
Stephens, Matthew. 2016. “False Discovery Rates: A New Deal.” Biostatistics 18 (2). Oxford University Press: 275–94.