Home Approximately Sufficient Statistics and Bayesian Computation
Article
Licensed
Unlicensed Requires Authentication

Approximately Sufficient Statistics and Bayesian Computation

  • Paul Joyce and Paul Marjoram
Published/Copyright: August 30, 2008
Become an author with De Gruyter Brill
Submit Manuscript Author Information
Statistical Applications in Genetics and Molecular Biology
From the journal Statistical Applications in Genetics and Molecular Biology Volume 7 Issue 1

The analysis of high-dimensional data sets is often forced to rely upon well-chosen summary statistics. A systematic approach to choosing such statistics, which is based upon a sound theoretical framework, is currently lacking. In this paper we develop a sequential scheme for scoring statistics according to whether their inclusion in the analysis will substantially improve the quality of inference. Our method can be applied to high-dimensional data sets for which exact likelihood equations are not possible. We illustrate the potential of our approach with a series of examples drawn from genetics. In summary, in a context in which well-chosen summary statistics are of high importance, we attempt to put the `well' into `chosen.'

Published Online: 2008-8-30

©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston

Articles in the same Issue

  1. Article
  2. Self-Organizing Maps with Statistical Phase Synchronization (SOMPS) for Analyzing Cell Cycle-Specific Gene Expression Data
  3. Coalescent Time Distributions in Trees of Arbitrary Size
  4. Quantifying the Association between Gene Expressions and DNA-Markers by Penalized Canonical Correlation Analysis
  5. Nonparametric Functional Mapping of Quantitative Trait Loci Underlying Programmed Cell Death
  6. Accommodating Uncertainty in a Tree Set for Function Estimation
  7. Drifting Markov Models with Polynomial Drift and Applications to DNA Sequences
  8. Comparing the Characteristics of Gene Expression Profiles Derived by Univariate and Multivariate Classification Methods
  9. Calculating Confidence Intervals for Prediction Error in Microarray Classification Using Resampling
  10. Structure Learning in Nested Effects Models
  11. Correcting the Estimated Level of Differential Expression for Gene Selection Bias: Application to a Microarray Study
  12. Adapting Prediction Error Estimates for Biased Complexity Selection in High-Dimensional Bootstrap Samples
  13. Adaptive Choice of the Number of Bootstrap Samples in Large Scale Multiple Testing
  14. Re-Cracking the Nucleosome Positioning Code
  15. Semi-Parametric Differential Expression Analysis via Partial Mixture Estimation
  16. A SNP Streak Model for the Identification of Genetic Regions Identical-by-descent
  17. Detecting Two-Locus Gene-Gene Effects Using Monotonisation of the Penetrance Matrix
  18. Modeling DNA Methylation in a Population of Cancer Cells
  19. Phenotyping Genetic Diseases Using an Extension of µ-Scores for Multivariate Data
  20. The Estimator of the Optimal Measure of Allelic Association: Mean, Variance and Probability Distribution When the Sample Size Tends to Infinity
  21. Predicting Protein Concentrations with ELISA Microarray Assays, Monotonic Splines and Monte Carlo Simulation
  22. A Comparison of Normalization Techniques for MicroRNA Microarray Data
  23. Collapsing SNP Genotypes in Case-Control Genome-Wide Association Studies Increases the Type I Error Rate and Power
  24. Estimating Number of Clusters Based on a General Similarity Matrix with Application to Microarray Data
  25. Data Distribution of Short Oligonucleotide Expression Arrays and Its Application to the Construction of a Generalized Intellectual Framework
  26. Approximately Sufficient Statistics and Bayesian Computation
  27. A Composite-Conditional-Likelihood Approach for Gene Mapping Based on Linkage Disequilibrium in Windows of Marker Loci
  28. Statistical Methods in Integrative Analysis for Gene Regulatory Modules
  29. Reducing Spatial Flaws in Oligonucleotide Arrays by Using Neighborhood Information
  30. Pattern Classification of Phylogeny Signals
  31. A Unification of Multivariate Methods for Meta-Analysis of Genetic Association Studies
  32. Importance Sampling for the Infinite Sites Model
  33. Supervised Distance Matrices
  34. Addressing the Shortcomings of Three Recent Bayesian Methods for Detecting Interspecific Recombination in DNA Sequence Alignments
  35. A Sparse PLS for Variable Selection when Integrating Omics Data
  36. Software Communication
  37. TRAB: Testing Whether Mutation Frequencies Are Above an Unknown Background
https://doi.org/10.2202/1544-6115.1389

Articles in the same Issue

  1. Article
  2. Self-Organizing Maps with Statistical Phase Synchronization (SOMPS) for Analyzing Cell Cycle-Specific Gene Expression Data
  3. Coalescent Time Distributions in Trees of Arbitrary Size
  4. Quantifying the Association between Gene Expressions and DNA-Markers by Penalized Canonical Correlation Analysis
  5. Nonparametric Functional Mapping of Quantitative Trait Loci Underlying Programmed Cell Death
  6. Accommodating Uncertainty in a Tree Set for Function Estimation
  7. Drifting Markov Models with Polynomial Drift and Applications to DNA Sequences
  8. Comparing the Characteristics of Gene Expression Profiles Derived by Univariate and Multivariate Classification Methods
  9. Calculating Confidence Intervals for Prediction Error in Microarray Classification Using Resampling
  10. Structure Learning in Nested Effects Models
  11. Correcting the Estimated Level of Differential Expression for Gene Selection Bias: Application to a Microarray Study
  12. Adapting Prediction Error Estimates for Biased Complexity Selection in High-Dimensional Bootstrap Samples
  13. Adaptive Choice of the Number of Bootstrap Samples in Large Scale Multiple Testing
  14. Re-Cracking the Nucleosome Positioning Code
  15. Semi-Parametric Differential Expression Analysis via Partial Mixture Estimation
  16. A SNP Streak Model for the Identification of Genetic Regions Identical-by-descent
  17. Detecting Two-Locus Gene-Gene Effects Using Monotonisation of the Penetrance Matrix
  18. Modeling DNA Methylation in a Population of Cancer Cells
  19. Phenotyping Genetic Diseases Using an Extension of µ-Scores for Multivariate Data
  20. The Estimator of the Optimal Measure of Allelic Association: Mean, Variance and Probability Distribution When the Sample Size Tends to Infinity
  21. Predicting Protein Concentrations with ELISA Microarray Assays, Monotonic Splines and Monte Carlo Simulation
  22. A Comparison of Normalization Techniques for MicroRNA Microarray Data
  23. Collapsing SNP Genotypes in Case-Control Genome-Wide Association Studies Increases the Type I Error Rate and Power
  24. Estimating Number of Clusters Based on a General Similarity Matrix with Application to Microarray Data
  25. Data Distribution of Short Oligonucleotide Expression Arrays and Its Application to the Construction of a Generalized Intellectual Framework
  26. Approximately Sufficient Statistics and Bayesian Computation
  27. A Composite-Conditional-Likelihood Approach for Gene Mapping Based on Linkage Disequilibrium in Windows of Marker Loci
  28. Statistical Methods in Integrative Analysis for Gene Regulatory Modules
  29. Reducing Spatial Flaws in Oligonucleotide Arrays by Using Neighborhood Information
  30. Pattern Classification of Phylogeny Signals
  31. A Unification of Multivariate Methods for Meta-Analysis of Genetic Association Studies
  32. Importance Sampling for the Infinite Sites Model
  33. Supervised Distance Matrices
  34. Addressing the Shortcomings of Three Recent Bayesian Methods for Detecting Interspecific Recombination in DNA Sequence Alignments
  35. A Sparse PLS for Variable Selection when Integrating Omics Data
  36. Software Communication
  37. TRAB: Testing Whether Mutation Frequencies Are Above an Unknown Background
Sign up now to receive a 20% welcome discount
Institutional Access
How does access work?
Have an idea on how to improve our website?
Please write us.
© 2025 De Gruyter Brill
Downloaded on 26.9.2025 from https://www.degruyterbrill.com/document/doi/10.2202/1544-6115.1389/html
Scroll to top button