Randomization, bootstrap and Monte Carlo methods in biology. (2018)

• Record Type: Book
• Authors: Manly, Bryan F. J, 1944-; Manly, Bryan F.J
• Contents: RANDOMIZATION; The Idea of a Randomization Test; Examples of Randomization Tests; Aspects of Randomization Testing Raised by the Examples; Confidence Limits by Randomization; Applications of Randomization in Biology and Related Areas; Randomization and Observational Studies; Chapter Summary; THE JACKKNIFE; The Jackknife Estimator; Applications of Jackknifing in Biology; Chapter Summary; THE BOOTSTRAP; Resampling with Replacement; Standard Bootstrap Confidence Limits; Simple Percentile Confidence Limits; Bias-Corrected Percentile Confidence Limits; Accelerated Bias-Corrected Percentile Limits; Other Methods for Constructing Confidence Intervals; Transformations to Improve Bootstrap-t Intervals; Parametric Confidence Intervals; A Better Estimate of Bias; Bootstrap Tests of Significance; Balanced Bootstrap Sampling; Applications of Bootstrapping in Biology; Further Reading; Chapter Summary; MONTE CARLO METHODS; Monte Carlo Tests; Generalized Monte Carlo Tests; Implicit Statistical Models; Applications of Monte Carlo Methods in Biology; Chapter Summary; SOME GENERAL CONSIDERATIONS; Questions about Computer-Intensive Methods; Power; Number of Random Sets of Data Needed for a Test; Determining a Randomization Distribution Exactly; The Number of Replications for Confidence Intervals; More Efficient Bootstrap Sampling Methods; The Generation of Pseudo-Random Numbers; The Generation of Random Permutations; Chapter Summary; ONE- AND TWO-SAMPLE TESTS; The Paired Comparisons Design; The One-Sample Randomization Test; The Two-Sample Randomization Test; Bootstrap Tests; Randomizing Residuals; Comparing the Variation in Two Samples; A Simulation Study; The Comparison of Two Samples on Multiple Measurements; Further Reading; Chapter Summary; ANALYSIS OF VARIANCE; One-Factor Analysis of Variance; Tests for Constant Variance; Testing for Mean Differences Using Residuals; Examples of More Complicated Types of Analysis of Variance; Procedures for Handling Unequal Variances; Other Aspects of Analysis of Variance; Further Reading; Chapter Summary; REGRESSION ANALYSIS; Simple Linear Regression; Randomizing Residuals; Testing for a Nonzero ß Value; Confidence Limits for ß; Multiple Linear Regression; Alternative Randomization Methods with Multiple Regression; Bootstrapping and Jackknifing with Regression; Further Reading; Chapter Summary; DISTANCE MATRICES AND SPATIAL DATA; Testing for Association between Distance Matrices; The Mantel Test; Sampling the Randomization Distribution; Confidence Limits for Regression Coefficients; The Multiple Mantel Test; Other Approaches with More Than Two Matrices; Further Reading; Chapter Summary; OTHER ANALYSES ON SPATIAL DATA; Spatial Data Analysis; The Study of Spatial Point Patterns; Mead's Randomization Test; Tests for Randomness Based on Distances; Testing for an Association between Two Point Patterns; The Besag-Diggle Test; Tests Using Distances Between Points; Testing for Random Marking; Further Reading; Chapter Summary; TIME SERIES; Randomization and Time Series; Randomization Tests for Serial Correlation; Randomization Tests for Trend; Randomization Tests for Periodicity; Irregularly Spaced Series; Tests on Times of Occurrence; Discussion on Procedures for Irregular Series; Bootstrap Methods; Monte Carlo Methods; Model-Based vs. Moving-Block Resampling; Further Reading; Chapter Summary; MULTIVARIATE DATA; Univariate and Multivariate Tests; Sample Mean Vectors and Covariance Matrices; Comparison of Sample Mean Vectors; Chi-Squared Analyses for Count Data; Comparison of Variations for Several Samples; Principal Components Analysis and Other; One-Sample Methods; Discriminant Function Analysis; Further Reading; Chapter Summary; SURVIVAL AND GROWTH DATA; Bootstrapping Survival Data; Bootstrapping for Variable Selection; Bootstrapping for Model Selection; Group Comparisons; Growth Data; Further Reading; Chapter Summary; NONSTANDARD SITUATIONS; The Construction of Tests in Nonstandard Situations; Species Co-Occurrences on Islands; Alternative Switching Algorithms; Examining Time Changes in Niche Overlap; Probing Multivariate Data with Random Skewers; Ant Species Sizes in Europe; Chapter Summary; BAYESIAN METHODS; The Bayesian Approach to Data Analysis; The Gibbs Sampler and Related Methods; Biological Applications; Further Reading; Chapter Summary; FINAL COMMENTS; Randomization; Bootstrapping; Monte Carlo Methods in General; Classical vs. Bayesian Inference; REFERENCES; APPENDIX: SOFTWARE FOR COMPUTER-INTENSIVE STATISTICS; INDEX
• Edition: Third edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2018
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 570.15195; Biometry; Monte Carlo method; Bootstrap (Statistics); Biometry -- Data processing
• Languages: English
• ISBNs: 9781351989596
• Related ISBNs: 9781482296419; 9781351992442; 9781315273075
• Notes: Note: Description based on CIP data; resource not viewed.
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