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Biostatistics and microbiology [[electronic resource] ] : a survival manual / / Daryl S. Paulson
| Biostatistics and microbiology [[electronic resource] ] : a survival manual / / Daryl S. Paulson |
| Autore | Paulson Daryl S. <1947-> |
| Edizione | [1st ed. 2009.] |
| Pubbl/distr/stampa | New York, NY, : Springer, c2008 |
| Descrizione fisica | 1 online resource (223 p.) |
| Disciplina | 579.015195 |
| Soggetto topico |
Microbiology - Statistical methods
Biometry |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-91336-7
9786611913366 0-387-77282-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | BioStatistics and Microbiology: Introduction -- One-Sample Tests -- Two-Sample Statistical Tests, Normal Distribution -- Analysis of Variance -- Regression and Correlation Analysis -- Qualitative Data Analysis -- Nonparametric Statistical Methods. |
| Record Nr. | UNINA-9910453402303321 |
Paulson Daryl S. <1947->
|
||
| New York, NY, : Springer, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Biostatistics and microbiology [[electronic resource] ] : a survival manual / / Daryl S. Paulson
| Biostatistics and microbiology [[electronic resource] ] : a survival manual / / Daryl S. Paulson |
| Autore | Paulson Daryl S. <1947-> |
| Edizione | [1st ed. 2009.] |
| Pubbl/distr/stampa | New York, NY, : Springer, c2008 |
| Descrizione fisica | 1 online resource (223 p.) |
| Disciplina | 579.015195 |
| Soggetto topico |
Microbiology - Statistical methods
Biometry |
| ISBN |
1-281-91336-7
9786611913366 0-387-77282-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | BioStatistics and Microbiology: Introduction -- One-Sample Tests -- Two-Sample Statistical Tests, Normal Distribution -- Analysis of Variance -- Regression and Correlation Analysis -- Qualitative Data Analysis -- Nonparametric Statistical Methods. |
| Record Nr. | UNINA-9910782366903321 |
|
Paulson Daryl S. <1947->
|
||
| New York, NY, : Springer, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Biostatistics and microbiology : a survival manual / / Daryl S. Paulson
| Biostatistics and microbiology : a survival manual / / Daryl S. Paulson |
| Autore | Paulson Daryl S. <1947-> |
| Edizione | [1st ed. 2009.] |
| Pubbl/distr/stampa | New York, NY, : Springer, c2008 |
| Descrizione fisica | 1 online resource (223 p.) |
| Disciplina | 579.015195 |
| Soggetto topico |
Microbiology - Statistical methods
Biometry |
| ISBN |
1-281-91336-7
9786611913366 0-387-77282-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | BioStatistics and Microbiology: Introduction -- One-Sample Tests -- Two-Sample Statistical Tests, Normal Distribution -- Analysis of Variance -- Regression and Correlation Analysis -- Qualitative Data Analysis -- Nonparametric Statistical Methods. |
| Record Nr. | UNINA-9910815051103321 |
|
Paulson Daryl S. <1947->
|
||
| New York, NY, : Springer, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Statistical analysis in microbiology : statnotes
| Statistical analysis in microbiology : statnotes |
| Autore | Armstrong Richard A |
| Pubbl/distr/stampa | [Place of publication not identified], : Wiley Blackwell Pub, 2011 |
| Disciplina | 579.0727 |
| Soggetto topico |
Microbiology - Statistical methods
Biology Health & Biological Sciences Microbiology & Immunology |
| ISBN | 0-470-90517-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Are the data normally distributed? -- Describing the normal distribution -- Testing the difference between two groups -- Wat if the data are not normally distributed? -- Chi-square contingency tables -- One-way analysis of variance (anova) -- Post hoc tests -- Is one set of data more variable than another? -- Statistical power and sample size -- One-way analysis of variance (random effects model) : the nested or hierarchical design -- Two-way analysis of variance -- Two-factor analysis of variance -- Split-plot analysis of variance -- Repeated-measures analysis of variance -- Correlation of two variables -- Limits of agreement -- Nonparametric correlation coefficients -- Fitting a regression line to data -- Using a regression line for prediction and calibration -- Comparison of regression lines -- Nonlinear regression : fitting an exponential curve -- Nonlinear regression : fitting a general polynomial-type curve -- Nonlinear regression : fitting a logistic growth curve -- Nonparametric analysis of variance -- Multiple linear regression -- Stepwise multiple regression -- Classification and dendrograms -- Factor analysis and principal components analysis -- Which test to use : table -- Which test to use : key -- Glossary of statistical terms and their abbreviations -- Summary of sample size procedures for different statistical tests. |
| Record Nr. | UNINA-9910141747403321 |
|
Armstrong Richard A
|
||
| [Place of publication not identified], : Wiley Blackwell Pub, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Statistical analysis in microbiology : statnotes
| Statistical analysis in microbiology : statnotes |
| Autore | Armstrong Richard A |
| Pubbl/distr/stampa | [Place of publication not identified], : Wiley Blackwell Pub, 2011 |
| Disciplina | 579.0727 |
| Soggetto topico |
Microbiology - Statistical methods
Biology Health & Biological Sciences Microbiology & Immunology |
| ISBN | 0-470-90517-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Are the data normally distributed? -- Describing the normal distribution -- Testing the difference between two groups -- Wat if the data are not normally distributed? -- Chi-square contingency tables -- One-way analysis of variance (anova) -- Post hoc tests -- Is one set of data more variable than another? -- Statistical power and sample size -- One-way analysis of variance (random effects model) : the nested or hierarchical design -- Two-way analysis of variance -- Two-factor analysis of variance -- Split-plot analysis of variance -- Repeated-measures analysis of variance -- Correlation of two variables -- Limits of agreement -- Nonparametric correlation coefficients -- Fitting a regression line to data -- Using a regression line for prediction and calibration -- Comparison of regression lines -- Nonlinear regression : fitting an exponential curve -- Nonlinear regression : fitting a general polynomial-type curve -- Nonlinear regression : fitting a logistic growth curve -- Nonparametric analysis of variance -- Multiple linear regression -- Stepwise multiple regression -- Classification and dendrograms -- Factor analysis and principal components analysis -- Which test to use : table -- Which test to use : key -- Glossary of statistical terms and their abbreviations -- Summary of sample size procedures for different statistical tests. |
| Record Nr. | UNINA-9910830568303321 |
|
Armstrong Richard A
|
||
| [Place of publication not identified], : Wiley Blackwell Pub, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Statistical analysis in microbiology : statnotes
| Statistical analysis in microbiology : statnotes |
| Autore | Armstrong Richard A |
| Pubbl/distr/stampa | [Place of publication not identified], : Wiley Blackwell Pub, 2011 |
| Disciplina | 579.0727 |
| Soggetto topico |
Microbiology - Statistical methods
Biology Health & Biological Sciences Microbiology & Immunology |
| ISBN | 0-470-90517-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Are the data normally distributed? -- Describing the normal distribution -- Testing the difference between two groups -- Wat if the data are not normally distributed? -- Chi-square contingency tables -- One-way analysis of variance (anova) -- Post hoc tests -- Is one set of data more variable than another? -- Statistical power and sample size -- One-way analysis of variance (random effects model) : the nested or hierarchical design -- Two-way analysis of variance -- Two-factor analysis of variance -- Split-plot analysis of variance -- Repeated-measures analysis of variance -- Correlation of two variables -- Limits of agreement -- Nonparametric correlation coefficients -- Fitting a regression line to data -- Using a regression line for prediction and calibration -- Comparison of regression lines -- Nonlinear regression : fitting an exponential curve -- Nonlinear regression : fitting a general polynomial-type curve -- Nonlinear regression : fitting a logistic growth curve -- Nonparametric analysis of variance -- Multiple linear regression -- Stepwise multiple regression -- Classification and dendrograms -- Factor analysis and principal components analysis -- Which test to use : table -- Which test to use : key -- Glossary of statistical terms and their abbreviations -- Summary of sample size procedures for different statistical tests. |
| Record Nr. | UNINA-9910877214103321 |
|
Armstrong Richard A
|
||
| [Place of publication not identified], : Wiley Blackwell Pub, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Statistical analysis of microbiome data / / Somnath Datta and Subharup Guha, editors
| Statistical analysis of microbiome data / / Somnath Datta and Subharup Guha, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (348 pages) |
| Disciplina | 579 |
| Collana | Frontiers in probability and the statistical sciences |
| Soggetto topico |
Microbiology - Statistical methods
Microbiologia Estadística matemàtica Microorganismes Genètica microbiana |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-73351-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgments -- Contents -- Part I Preprocessing and Bioinformatics Pipelines -- Denoising Methods for Inferring Microbiome Community Content and Abundance -- 1 Introduction -- 2 Common Algorithmic Denoising Strategies -- 3 Model-Based Denoising -- 3.1 Hierarchical Divisive Clustering -- 3.2 Finite Mixture Model -- 3.3 Denoising Long-Read Technology -- 4 Model Assessment -- 4.1 With Known Truth -- 4.1.1 Accuracy in ASV Identification -- 4.1.2 Accuracy in Read Assignments -- 4.2 With Unknown Truth -- 4.2.1 Assessment with UMIs -- 4.2.2 Clustering Stability -- 5 Conclusions -- References -- Statistical and Computational Methods for Analysis of Shotgun Metagenomics Sequencing Data -- 1 Introduction -- 2 Methods for Species Identification and Quantification of Microorganisms -- 3 Metagenome Assembly and Applications -- 3.1 de Bruijn Assembly of a Single Genome -- 3.2 Modification for Metagenome and Metagenome-Assembled Genomes -- 3.3 Compacted de Bruijn Graph -- 4 Estimation of Growth Rates for Metagenome-Assembled Genomes (MAGs) -- 5 Methods for Identifying Biosynthetic Gene Clusters -- 5.1 A Hidden Markov Model-Based Approach -- 5.2 A Deep Learning Approach -- 5.3 BGC Identification Based on Metagenomic Data -- 6 Future Directions -- References -- Bioinformatics Pre-Processing of Microbiome Data with An Application to Metagenomic Forensics -- 1 Introduction -- 2 Bioinformatics Pipeline -- 2.1 Microbiome Data -- 2.2 Quality Control -- 2.3 Taxonomic Profiling -- 2.3.1 MetaPhlAn2 -- 2.3.2 Kraken2 -- 2.3.3 Kaiju -- 2.4 Computing facilities -- 3 Methodology -- 3.1 Pre-Processing and Feature Selection -- 3.2 Exploration of Candidate Classifiers -- 3.3 The Ensemble Classifier -- 3.4 Class Imbalance -- 3.5 Performance Measures -- 3.6 Data Analysis -- 4 Results -- 5 Discussion -- 6 Data Acknowledgement -- 7 Code Availability.
References -- Part II Exploratory Analyses of Microbial Communities -- Statistical Methods for Pairwise Comparison of Metagenomic Samples -- 1 Introduction -- 2 Microbial Community Comparison Methods Based on OTU Abundance Data -- 3 Microbial Community Comparison Measures Based on a Phylogenetic Tree -- 3.1 The Fst Statistic and Phylogenetic Test for Comparing Communities -- 3.2 UniFrac, W-UniFrac, VAW-UniFrac, and Generalized UniFrac for Comparing Microbial Communities -- 3.3 VAW-UniFrac for Comparing Communities -- 4 Alignment-Free Methods for the Comparison of Microbial Communities -- 5 A Tutorial on the Use of UniFrac Type and Alignment-Free Dissimilarity Measures for the Comparison of Metagenomic Samples -- 5.1 Analysis Steps for UniFrac, W-UniFrac, Generalized UniFrac, and VAW-UniFrac -- 5.2 Analysis Steps for the Comparison of Microbial Communities Based on Alignment-Free Methods -- 6 Discussion -- References -- Beta Diversity and Distance-Based Analysis of Microbiome Data -- 1 Introduction -- 2 Quantifying Dissimilarity: Common Beta Diversity Metrics -- 3 Ordination and Dimension Reduction -- 3.1 Principal Coordinates Analysis -- 3.2 Double Principal Coordinate Analysis -- 3.3 Biplots -- 3.4 Accounting for Compositionality -- 3.5 Model-Based Ordination Using Latent Variables -- 4 Distance-Based Hypothesis Testing -- 4.1 Permutation Tests -- 4.2 Kernel Machine Regression Tests -- 4.3 Sum of Powered Score Tests -- 4.4 Adaptive Tests -- 4.5 Comparison of Distance-Based Tests -- 5 Strengths, Weaknesses, and Future Directions -- References -- Part III Statistical Models and Inference -- Joint Models for Repeatedly Measured Compositional and Normally Distributed Outcomes -- 1 Introduction -- 2 Motivating Data -- 3 Statistical Models -- 3.1 The Multinomial Logistic Mixed Model (MLMM) -- 3.2 Dirichlet-Multinomial Mixed Model (DMMM). 3.3 Goodness of Fit -- 4 Simulation Studies -- 4.1 Simulation Setting -- 4.2 Simulation Results -- 5 Data Analysis -- 6 Discussion -- 7 Software -- Appendix -- References -- Statistical Methods for Feature Identification in Microbiome Studies -- 1 Introduction -- 2 Differential Abundance Analysis -- 2.1 Compositional Methods -- 2.2 Count-Based Methods -- 2.3 Additional Notes -- 3 Mediation Analysis -- 4 Feature Identification Adjusting for Confounding -- 4.1 Covariate Adjustment -- 4.2 Model-Based Standardization -- 5 Summary -- References -- Statistical Methods for Analyzing Tree-Structured Microbiome Data -- 1 Introduction -- 2 Modeling Multivariate Count Data -- 2.1 Dirichlet-Multinomial Model -- 2.2 Dirichlet-Tree Multinomial Model -- 2.3 Implementation and Illustration -- 3 Estimating Microbial Compositions -- 3.1 Empirical Bayes Normalization -- 3.2 Phylogeny-Aware Normalization -- 3.3 Statistical Analysis of Compositional Data -- 3.4 Implementation and Illustration -- 4 Regression with Compositional Predictors -- 4.1 Constrained Lasso and Log-Ratio Lasso -- 4.2 Subcomposition Selection -- 4.3 Phylogeny-Aware Subcomposition Selection -- 4.4 Linear Regression and Variable Fusion -- 5 Additional References -- 6 Discussion -- References -- A Log-Linear Model for Inference on Bias in Microbiome Studies -- 1 Introduction -- 2 Methods -- 2.1 The Brooks' Data -- 2.2 Setup and Estimation -- 2.3 Inference -- 2.4 Testability of the Hypothesis -- 2.4.1 Example: Testable Hypotheses for Main Effects -- 2.4.2 Example: Testable Hypotheses for Interaction Effects -- 3 Simulations -- 3.1 Main Effect Simulation -- 3.2 Interaction Effect Simulation Based on the Brooks Data -- 4 Results -- 4.1 Simulation Results -- 4.2 Do Interactions Between Taxa Affect Bias in the Brooks' Data? -- 4.3 Plate and Sample Type Effects in the Brooks' Data -- 5 Discussion -- Appendix. References -- Part IV Bayesian Methods -- Dirichlet-Multinomial Regression Models with Bayesian Variable Selection for Microbiome Data -- 1 Introduction -- 2 Methods -- 2.1 Dirichlet-Multinomial Regression Models for Compositional Data -- 2.2 Variable Selection Priors -- 2.3 Network Priors -- 2.3.1 Unknown G -- 2.4 Dirichlet-Tree Multinomial Models -- 2.5 Posterior Inference -- 3 Simulated Data -- 3.1 Simulation Study for DM Regression Models -- 3.2 DM Sensitivity Analysis -- 3.3 Simulation Study for DTM Regression Models -- 3.4 DTM Sensitivity Analysis -- 4 Applications -- 4.1 Multi-omics Microbiome Study-Pregnancy Initiative (MOMS-PI) -- 4.2 Gut Microbiome Study -- 5 Conclusion -- References -- A Bayesian Approach to Restoring the Duality Between Principal Components of a Distance Matrix and Operational Taxonomic Units in Microbiome Analyses -- 1 Introduction -- 1.1 Motivating Datasets -- 1.2 Nonlinear or Stochastic Distances -- 1.3 Limitations of SVD-Based Approaches -- 2 A Bayesian Formulation -- 2.1 Posterior Density -- 3 Model Sum of Squares and Biplots -- 4 Posterior Inference -- 4.1 Gibbs Sampler -- 4.2 Dimension Reduction: Skinny Bayesian Technique -- 4.2.1 Subsetted Data Matrix -- 4.2.2 Lower Dimensional Parameters and Induced Posterior -- 4.2.3 Faster Inference Procedure -- 4.3 Model Parameter Estimates -- 5 Simulation Study -- 5.1 Generation Strategy -- 6 Data Analysis -- 6.1 Tobacco Data -- 6.2 Subway Data -- 7 Data Acknowledgement -- 8 Discussion -- Supplementary Materials -- Appendix -- Proof of Lemma 1 -- References -- Part V Special Topics -- Tree Variable Selection for Paired Case-Control Studies with Application to Microbiome Data -- 1 Introduction -- 2 Gini Index -- 2.1 Simulation Analysis -- 3 Multivariate Gini Index -- 3.1 Conditional Gini Index -- 4 Variable Importance -- 5 Analysis of Obesity Using Microbiome Data. 6 Discussion -- Appendix -- References -- Networks for Compositional Data -- 1 Introduction -- 2 Methods -- 2.1 Learning Networks from Marginal Associations -- 2.1.1 ReBoot -- 2.1.2 SparCC -- 2.1.3 CCLasso -- 2.1.4 COAT -- 2.2 Learning Networks from Conditional Associations -- 2.2.1 SPIEC-EASI -- 2.2.2 gCoda -- 2.2.3 SPRING -- 3 Data-Generating Models -- 3.1 Null Models -- 3.2 Copula Models -- 3.3 Logistic-Normal Model -- 4 Results -- 4.1 Spurious (Partial) Correlations -- 4.2 Performance in Network Discovery -- 4.3 Case Studies in R -- 5 Future Directions -- References -- Index. |
| Record Nr. | UNINA-9910508445803321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Statistical analysis of microbiome data / / Somnath Datta and Subharup Guha, editors
| Statistical analysis of microbiome data / / Somnath Datta and Subharup Guha, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (348 pages) |
| Disciplina | 579 |
| Collana | Frontiers in probability and the statistical sciences |
| Soggetto topico |
Microbiology - Statistical methods
Microbiologia Estadística matemàtica Microorganismes Genètica microbiana |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-73351-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Acknowledgments -- Contents -- Part I Preprocessing and Bioinformatics Pipelines -- Denoising Methods for Inferring Microbiome Community Content and Abundance -- 1 Introduction -- 2 Common Algorithmic Denoising Strategies -- 3 Model-Based Denoising -- 3.1 Hierarchical Divisive Clustering -- 3.2 Finite Mixture Model -- 3.3 Denoising Long-Read Technology -- 4 Model Assessment -- 4.1 With Known Truth -- 4.1.1 Accuracy in ASV Identification -- 4.1.2 Accuracy in Read Assignments -- 4.2 With Unknown Truth -- 4.2.1 Assessment with UMIs -- 4.2.2 Clustering Stability -- 5 Conclusions -- References -- Statistical and Computational Methods for Analysis of Shotgun Metagenomics Sequencing Data -- 1 Introduction -- 2 Methods for Species Identification and Quantification of Microorganisms -- 3 Metagenome Assembly and Applications -- 3.1 de Bruijn Assembly of a Single Genome -- 3.2 Modification for Metagenome and Metagenome-Assembled Genomes -- 3.3 Compacted de Bruijn Graph -- 4 Estimation of Growth Rates for Metagenome-Assembled Genomes (MAGs) -- 5 Methods for Identifying Biosynthetic Gene Clusters -- 5.1 A Hidden Markov Model-Based Approach -- 5.2 A Deep Learning Approach -- 5.3 BGC Identification Based on Metagenomic Data -- 6 Future Directions -- References -- Bioinformatics Pre-Processing of Microbiome Data with An Application to Metagenomic Forensics -- 1 Introduction -- 2 Bioinformatics Pipeline -- 2.1 Microbiome Data -- 2.2 Quality Control -- 2.3 Taxonomic Profiling -- 2.3.1 MetaPhlAn2 -- 2.3.2 Kraken2 -- 2.3.3 Kaiju -- 2.4 Computing facilities -- 3 Methodology -- 3.1 Pre-Processing and Feature Selection -- 3.2 Exploration of Candidate Classifiers -- 3.3 The Ensemble Classifier -- 3.4 Class Imbalance -- 3.5 Performance Measures -- 3.6 Data Analysis -- 4 Results -- 5 Discussion -- 6 Data Acknowledgement -- 7 Code Availability.
References -- Part II Exploratory Analyses of Microbial Communities -- Statistical Methods for Pairwise Comparison of Metagenomic Samples -- 1 Introduction -- 2 Microbial Community Comparison Methods Based on OTU Abundance Data -- 3 Microbial Community Comparison Measures Based on a Phylogenetic Tree -- 3.1 The Fst Statistic and Phylogenetic Test for Comparing Communities -- 3.2 UniFrac, W-UniFrac, VAW-UniFrac, and Generalized UniFrac for Comparing Microbial Communities -- 3.3 VAW-UniFrac for Comparing Communities -- 4 Alignment-Free Methods for the Comparison of Microbial Communities -- 5 A Tutorial on the Use of UniFrac Type and Alignment-Free Dissimilarity Measures for the Comparison of Metagenomic Samples -- 5.1 Analysis Steps for UniFrac, W-UniFrac, Generalized UniFrac, and VAW-UniFrac -- 5.2 Analysis Steps for the Comparison of Microbial Communities Based on Alignment-Free Methods -- 6 Discussion -- References -- Beta Diversity and Distance-Based Analysis of Microbiome Data -- 1 Introduction -- 2 Quantifying Dissimilarity: Common Beta Diversity Metrics -- 3 Ordination and Dimension Reduction -- 3.1 Principal Coordinates Analysis -- 3.2 Double Principal Coordinate Analysis -- 3.3 Biplots -- 3.4 Accounting for Compositionality -- 3.5 Model-Based Ordination Using Latent Variables -- 4 Distance-Based Hypothesis Testing -- 4.1 Permutation Tests -- 4.2 Kernel Machine Regression Tests -- 4.3 Sum of Powered Score Tests -- 4.4 Adaptive Tests -- 4.5 Comparison of Distance-Based Tests -- 5 Strengths, Weaknesses, and Future Directions -- References -- Part III Statistical Models and Inference -- Joint Models for Repeatedly Measured Compositional and Normally Distributed Outcomes -- 1 Introduction -- 2 Motivating Data -- 3 Statistical Models -- 3.1 The Multinomial Logistic Mixed Model (MLMM) -- 3.2 Dirichlet-Multinomial Mixed Model (DMMM). 3.3 Goodness of Fit -- 4 Simulation Studies -- 4.1 Simulation Setting -- 4.2 Simulation Results -- 5 Data Analysis -- 6 Discussion -- 7 Software -- Appendix -- References -- Statistical Methods for Feature Identification in Microbiome Studies -- 1 Introduction -- 2 Differential Abundance Analysis -- 2.1 Compositional Methods -- 2.2 Count-Based Methods -- 2.3 Additional Notes -- 3 Mediation Analysis -- 4 Feature Identification Adjusting for Confounding -- 4.1 Covariate Adjustment -- 4.2 Model-Based Standardization -- 5 Summary -- References -- Statistical Methods for Analyzing Tree-Structured Microbiome Data -- 1 Introduction -- 2 Modeling Multivariate Count Data -- 2.1 Dirichlet-Multinomial Model -- 2.2 Dirichlet-Tree Multinomial Model -- 2.3 Implementation and Illustration -- 3 Estimating Microbial Compositions -- 3.1 Empirical Bayes Normalization -- 3.2 Phylogeny-Aware Normalization -- 3.3 Statistical Analysis of Compositional Data -- 3.4 Implementation and Illustration -- 4 Regression with Compositional Predictors -- 4.1 Constrained Lasso and Log-Ratio Lasso -- 4.2 Subcomposition Selection -- 4.3 Phylogeny-Aware Subcomposition Selection -- 4.4 Linear Regression and Variable Fusion -- 5 Additional References -- 6 Discussion -- References -- A Log-Linear Model for Inference on Bias in Microbiome Studies -- 1 Introduction -- 2 Methods -- 2.1 The Brooks' Data -- 2.2 Setup and Estimation -- 2.3 Inference -- 2.4 Testability of the Hypothesis -- 2.4.1 Example: Testable Hypotheses for Main Effects -- 2.4.2 Example: Testable Hypotheses for Interaction Effects -- 3 Simulations -- 3.1 Main Effect Simulation -- 3.2 Interaction Effect Simulation Based on the Brooks Data -- 4 Results -- 4.1 Simulation Results -- 4.2 Do Interactions Between Taxa Affect Bias in the Brooks' Data? -- 4.3 Plate and Sample Type Effects in the Brooks' Data -- 5 Discussion -- Appendix. References -- Part IV Bayesian Methods -- Dirichlet-Multinomial Regression Models with Bayesian Variable Selection for Microbiome Data -- 1 Introduction -- 2 Methods -- 2.1 Dirichlet-Multinomial Regression Models for Compositional Data -- 2.2 Variable Selection Priors -- 2.3 Network Priors -- 2.3.1 Unknown G -- 2.4 Dirichlet-Tree Multinomial Models -- 2.5 Posterior Inference -- 3 Simulated Data -- 3.1 Simulation Study for DM Regression Models -- 3.2 DM Sensitivity Analysis -- 3.3 Simulation Study for DTM Regression Models -- 3.4 DTM Sensitivity Analysis -- 4 Applications -- 4.1 Multi-omics Microbiome Study-Pregnancy Initiative (MOMS-PI) -- 4.2 Gut Microbiome Study -- 5 Conclusion -- References -- A Bayesian Approach to Restoring the Duality Between Principal Components of a Distance Matrix and Operational Taxonomic Units in Microbiome Analyses -- 1 Introduction -- 1.1 Motivating Datasets -- 1.2 Nonlinear or Stochastic Distances -- 1.3 Limitations of SVD-Based Approaches -- 2 A Bayesian Formulation -- 2.1 Posterior Density -- 3 Model Sum of Squares and Biplots -- 4 Posterior Inference -- 4.1 Gibbs Sampler -- 4.2 Dimension Reduction: Skinny Bayesian Technique -- 4.2.1 Subsetted Data Matrix -- 4.2.2 Lower Dimensional Parameters and Induced Posterior -- 4.2.3 Faster Inference Procedure -- 4.3 Model Parameter Estimates -- 5 Simulation Study -- 5.1 Generation Strategy -- 6 Data Analysis -- 6.1 Tobacco Data -- 6.2 Subway Data -- 7 Data Acknowledgement -- 8 Discussion -- Supplementary Materials -- Appendix -- Proof of Lemma 1 -- References -- Part V Special Topics -- Tree Variable Selection for Paired Case-Control Studies with Application to Microbiome Data -- 1 Introduction -- 2 Gini Index -- 2.1 Simulation Analysis -- 3 Multivariate Gini Index -- 3.1 Conditional Gini Index -- 4 Variable Importance -- 5 Analysis of Obesity Using Microbiome Data. 6 Discussion -- Appendix -- References -- Networks for Compositional Data -- 1 Introduction -- 2 Methods -- 2.1 Learning Networks from Marginal Associations -- 2.1.1 ReBoot -- 2.1.2 SparCC -- 2.1.3 CCLasso -- 2.1.4 COAT -- 2.2 Learning Networks from Conditional Associations -- 2.2.1 SPIEC-EASI -- 2.2.2 gCoda -- 2.2.3 SPRING -- 3 Data-Generating Models -- 3.1 Null Models -- 3.2 Copula Models -- 3.3 Logistic-Normal Model -- 4 Results -- 4.1 Spurious (Partial) Correlations -- 4.2 Performance in Network Discovery -- 4.3 Case Studies in R -- 5 Future Directions -- References -- Index. |
| Record Nr. | UNISA-996466407003316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
