2022
A Zero-Inflated Logistic Normal Multinomial Model for Extracting Microbial Compositions
Zeng Y, Pang D, Zhao H, Wang T. A Zero-Inflated Logistic Normal Multinomial Model for Extracting Microbial Compositions. Journal Of The American Statistical Association 2022, 118: 2356-2369. DOI: 10.1080/01621459.2022.2044827.Peer-Reviewed Original ResearchMaximum likelihood estimationEfficient iterative algorithmProbabilistic PCA modelsEmpirical Bayes approachApproximation estimatorVariational approximationExcessive zerosM-estimationAsymptotic normalityIterative algorithmLikelihood estimationBayes approachCount dataHigh dimensionalityRaw count dataMultinomial modelExtensive simulationsZerosSupplementary materialMicrobiome dataCompositional natureEstimationPCA modelComposition estimationApproximation
2021
Statistical Methods for Analyzing Tree-Structured Microbiome Data
Wang T, Zhao H. Statistical Methods for Analyzing Tree-Structured Microbiome Data. Frontiers In Probability And The Statistical Sciences 2021, 193-220. DOI: 10.1007/978-3-030-73351-3_8.Peer-Reviewed Original ResearchStatistical methodsOnly relative informationMicrobiome data analysisMicrobiome dataEmpirical Bayes estimationCompositional predictorsBayes estimationComputational challengesRelative informationDimension reductionAbundance matrixTaxa countsMultinomial modelMicrobiome datasetsPhylogenetic informationMicrobial taxaPhylogenetic treeSequencing technologiesOriginal ecosystemMicrobial compositionOrders of magnitudeMatrixExperimental methodsLibrary sizeZeros