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1 Bioinformatics and Gene Expression Experiments |
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2.1.1 DNA Structures and Transcription |
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2.2 Gene Expression Microarray Experiments |
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3 Bayesian Linear Models for Gene Expression |
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3.2 Bayesian Analysis of a Linear Model |
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3.3 Bayesian Linear Models for Differential Expression |
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3.4 Bayesian ANOVA for Gene Selection |
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3.5 Robust ANOVA model with Mixtures of Singular Distributions |
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3.7 Accounting for Nuisance Effects |
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3.8 Summary and Further Reading |
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4 Bayesian Multiple Testing and False Discovery Rate Analysis |
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4.1 Introduction to Multiple Testing |
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4.2 False Discovery Rate Analysis |
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4.3 Bayesian False Discovery Rate Analysis |
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4.4 Bayesian Estimation of FDR |
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4.5 FDR and Decision Theory |
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5 Bayesian Classification for Microarray Data |
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5.2 Classification and Discriminant Rules |
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5.3 Bayesian Discriminant Analysis |
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5.4 Bayesian Regression Based Approaches to Classification |
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5.5 Bayesian Nonlinear Classification |
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5.6 Prediction and Model Choice |
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6 Bayesian Hypothesis Inference for Gene Classes |
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6.1 Interpreting Microarray Results |
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6.3 Bayesian Enrichment Analysis |
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6.4 Multivariate Gene Class Detection |
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7 Unsupervised Classification and Bayesian Clustering |
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7.1 Introduction to Bayesian Clustering for Gene Expression Data |
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7.2 Hierarchical Clustering |
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7.4 Model-Based Clustering |
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7.5 Model-Based Agglomerative Hierarchical Clustering |
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7.9 Clustering Using Dirichlet Process Prior |
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7.9.1 Infinite Mixture of Gaussian Distributions |
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8 Bayesian Graphical Models |
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8.2 Probabilistic Graphical Models |
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8.4 Inference for Network Models |
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9.2 Analysis of Time Course Gene Expression Data |
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9.3 Survival Prediction Using Gene Expression Data |
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Appendix A: Basics of Bayesian Modeling |
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A.1.1 The General Representation Theorem |
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A.1.3 Models Based on Partial Exchangeability |
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A.1.4 Modeling with Predictors |
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A.1.5 Prior Distributions |
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A.1.6 Decision Theory and Posterior and Predictive Inferences |
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A.1.7 Predictive Distributions |
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A.2 Bayesian Model Choice |
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A.3 Hierarchical Modeling |
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A.4 Bayesian Mixture Modeling |
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A.5 Bayesian Model Averaging |
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Appendix B: Bayesian Computation Tools |
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B.2 Large-Sample Posterior Approximations |
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B.2.1 The Bayesian Central Limit Theorem |
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B.3 Monte Carlo Integration |
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B.7 The Metropolis Algorithm and Metropolis–Hastings |
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B.8 Advanced Computational Methods |
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B.8.2 Truncated Posterior Spaces |
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B.8.3 Latent Variables and the Auto-Probit Model |
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B.8.4 Bayesian Simultaneous Credible Envelopes |
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B.9 Posterior Convergence Diagnostics |
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B.10 MCMC Convergence and the Proposal |
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B.10.1 Graphical Checks for MCMC Methods |
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B.10.2 Convergence Statistics |
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B.10.3 MCMC in High-Throughput Analysis |
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