Likelihood Methods In Biology And Ecology

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Likelihood Methods In Biology And Ecology
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Author : Michael Brimacombe
language : en
Publisher: CRC Press
Release Date : 2018-12-18
Likelihood Methods In Biology And Ecology written by Michael Brimacombe and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-18 with Mathematics categories.
This book emphasizes the importance of the likelihood function in statistical theory and applications and discusses it in the context of biology and ecology. Bayesian and frequentist methods both use the likelihood function and provide differing but related insights. This is examined here both through review of basic methodology and also the integr
Likelihood And Bayesian Inference
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Author : Leonhard Held
language : en
Publisher: Springer Nature
Release Date : 2020-03-31
Likelihood And Bayesian Inference written by Leonhard Held and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-31 with Medical categories.
This richly illustrated textbook covers modern statistical methods with applications in medicine, epidemiology and biology. Firstly, it discusses the importance of statistical models in applied quantitative research and the central role of the likelihood function, describing likelihood-based inference from a frequentist viewpoint, and exploring the properties of the maximum likelihood estimate, the score function, the likelihood ratio and the Wald statistic. In the second part of the book, likelihood is combined with prior information to perform Bayesian inference. Topics include Bayesian updating, conjugate and reference priors, Bayesian point and interval estimates, Bayesian asymptotics and empirical Bayes methods. It includes a separate chapter on modern numerical techniques for Bayesian inference, and also addresses advanced topics, such as model choice and prediction from frequentist and Bayesian perspectives. This revised edition of the book “Applied Statistical Inference” has been expanded to include new material on Markov models for time series analysis. It also features a comprehensive appendix covering the prerequisites in probability theory, matrix algebra, mathematical calculus, and numerical analysis, and each chapter is complemented by exercises. The text is primarily intended for graduate statistics and biostatistics students with an interest in applications.
Models For Ecological Data
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Author : James S. Clark
language : en
Publisher: Princeton University Press
Release Date : 2020-10-06
Models For Ecological Data written by James S. Clark and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-06 with Science categories.
The environmental sciences are undergoing a revolution in the use of models and data. Facing ecological data sets of unprecedented size and complexity, environmental scientists are struggling to understand and exploit powerful new statistical tools for making sense of ecological processes. In Models for Ecological Data, James Clark introduces ecologists to these modern methods in modeling and computation. Assuming only basic courses in calculus and statistics, the text introduces readers to basic maximum likelihood and then works up to more advanced topics in Bayesian modeling and computation. Clark covers both classical statistical approaches and powerful new computational tools and describes how complexity can motivate a shift from classical to Bayesian methods. Through an available lab manual, the book introduces readers to the practical work of data modeling and computation in the language R. Based on a successful course at Duke University and National Science Foundation-funded institutes on hierarchical modeling, Models for Ecological Data will enable ecologists and other environmental scientists to develop useful models that make sense of ecological data. Consistent treatment from classical to modern Bayes Underlying distribution theory to algorithm development Many examples and applications Does not assume statistical background Extensive supporting appendixes Lab manual in R is available separately
Cause And Correlation In Biology
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Author : Bill Shipley
language : en
Publisher: Cambridge University Press
Release Date : 2002-08
Cause And Correlation In Biology written by Bill Shipley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08 with Mathematics categories.
This book goes beyond the truism that 'correlation does not imply causation' and explores the logical and methodological relationships between correlation and causation. It presents a series of statistical methods that can test, and potentially discover, cause-effect relationships between variables in situations in which it is not possible to conduct randomised or experimentally controlled experiments. Many of these methods are quite new and most are generally unknown to biologists. In addition to describing how to conduct these statistical tests, the book also puts the methods into historical context and explains when they can and cannot justifiably be used to test or discover causal claims. Written in a conversational style that minimises technical jargon, the book is aimed at practising biologists and advanced students, and assumes only a very basic knowledge of introductory statistics.
Randomization Bootstrap And Monte Carlo Methods In Biology Second Edition
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Author : Bryan F.J. Manly
language : en
Publisher: CRC Press
Release Date : 1997-03-01
Randomization Bootstrap And Monte Carlo Methods In Biology Second Edition written by Bryan F.J. Manly and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-03-01 with Mathematics categories.
Randomization, Bootstrap and Monte Carlo Methods in Biology, Second Edition features new material on on bootstrap confidence intervals and significance testing, and incorporates new developments on the treatments of randomization methods for regression and analysis variation, including descriptions of applications of these methods in spreadsheet programs such as Lotus and other commercial packages. This second edition illustrates the value of modern computer intensive methods in the solution of a wide range of problems, with particular emphasis on biological applications. Examples given in the text include the controversial topic of whether there is periodicity between co-occurrences of species on islands.
Modern Approaches In Forest Ecosystem Modelling
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Author : Oleg G. Chertov
language : en
Publisher: BRILL
Release Date : 2024-01-15
Modern Approaches In Forest Ecosystem Modelling written by Oleg G. Chertov and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-15 with Technology & Engineering categories.
A review of modern approaches existing nowadays in ecological modelling of forest ecosystems in boreal and temperate forests. The book contains data on contemporary approaches in intensively developed simulation modelling of forest stands, soils and whole ecosystems as well; an analysis of existing spatial forest models and their significance and development; and a comprehensive discussion of theoretical (analytical) models of forest communities. The idea of a system of forest models for more effective solving of different theoretical and practical problems is also discussed. This work is particularly useful in its critical reviewing of modern achievements in forest ecosystem modelling and its discussion of more promising trends of forest modelling with an increase of their practical significance in the near future.
Ecological Genetics
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Author : Andrew Lowe
language : en
Publisher: John Wiley & Sons
Release Date : 2009-04-01
Ecological Genetics written by Andrew Lowe and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-01 with Science categories.
Ecological Genetics addresses the fundamental problems of which of the many molecular markers should be used and how the resulting data should be analysed in clear, accessible language, suitable for upper-level undergraduates through to research-level professionals. A very accessible straightforward text to deal with this difficult topic - applying modern molecular techniques to ecological processes. Written by active researchers and teachers within the field. There will be an accompanying web site managed by the authors, comprising of worked examples, test data sets and hyperlinks to relevant web pages.
Handbook Of Meta Analysis In Ecology And Evolution
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Author : Julia Koricheva
language : en
Publisher: Princeton University Press
Release Date : 2013-04-21
Handbook Of Meta Analysis In Ecology And Evolution written by Julia Koricheva and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-21 with Science categories.
Meta-analysis is a powerful statistical methodology for synthesizing research evidence across independent studies. This is the first comprehensive handbook of meta-analysis written specifically for ecologists and evolutionary biologists, and it provides an invaluable introduction for beginners as well as an up-to-date guide for experienced meta-analysts. The chapters, written by renowned experts, walk readers through every step of meta-analysis, from problem formulation to the presentation of the results. The handbook identifies both the advantages of using meta-analysis for research synthesis and the potential pitfalls and limitations of meta-analysis (including when it should not be used). Different approaches to carrying out a meta-analysis are described, and include moment and least-square, maximum likelihood, and Bayesian approaches, all illustrated using worked examples based on real biological datasets. This one-of-a-kind resource is uniquely tailored to the biological sciences, and will provide an invaluable text for practitioners from graduate students and senior scientists to policymakers in conservation and environmental management. Walks you through every step of carrying out a meta-analysis in ecology and evolutionary biology, from problem formulation to result presentation Brings together experts from a broad range of fields Shows how to avoid, minimize, or resolve pitfalls such as missing data, publication bias, varying data quality, nonindependence of observations, and phylogenetic dependencies among species Helps you choose the right software Draws on numerous examples based on real biological datasets
Quantitative Analysis Of Marine Biological Communities
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Author : Gerald J. Bakus
language : en
Publisher: John Wiley & Sons
Release Date : 2007-01-22
Quantitative Analysis Of Marine Biological Communities written by Gerald J. Bakus and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-22 with Science categories.
Quantitative methods specifically tailored for the marine biologist While there are countless texts published on quantitative methods and many texts that cover quantitative terrestrial ecology, this text fills the need for the special quantitative problems confronting marine biologists and biological oceanographers. The author combines common quantitative techniques with recent advances in quantitative methodology and then demonstrates how these techniques can be used to study marine organisms, their behaviors, and their interactions with the environment. Readers learn how to better design experiments and sampling, employ sophisticated mathematical techniques, and accurately interpret and communicate the results. Most of this text is written at an introductory level, with a few topics that advance to more complex themes. Among the topics covered are plot/plotless sampling, biometrics, experimental design, game theory, optimization, time trends, modeling, and environmental impact assessments. Even readers new to quantitative methods will find the material accessible, with plenty of features to engage their interest, promote learning, and put their knowledge into practice: * One or more examples are provided to illustrate each individual quantitative technique presented in the text * The accompanying CD-ROM features two multimedia programs, several statistical programs, help to run complex statistical programs, and additional information amplifying topics covered in the text * References lead readers to additional information to pursue individual topics in greater depth Quantitative Analysis of Marine Biological Communities, with its extensive use of examples, is ideal for undergraduate and graduate students in marine biology. Marine biologists, regardless of their level of experience, will also discover new approaches to quantitative analysis tailored to the particular needs of their field.
The Ecological Detective
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Author : Ray Hilborn
language : en
Publisher: Princeton University Press
Release Date : 2013-02-15
The Ecological Detective written by Ray Hilborn and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-15 with Science categories.
The modern ecologist usually works in both the field and laboratory, uses statistics and computers, and often works with ecological concepts that are model-based, if not model-driven. How do we make the field and laboratory coherent? How do we link models and data? How do we use statistics to help experimentation? How do we integrate modeling and statistics? How do we confront multiple hypotheses with data and assign degrees of belief to different hypotheses? How do we deal with time series (in which data are linked from one measurement to the next) or put multiple sources of data into one inferential framework? These are the kinds of questions asked and answered by The Ecological Detective. Ray Hilborn and Marc Mangel investigate ecological data much as a detective would investigate a crime scene by trying different hypotheses until a coherent picture emerges. The book is not a set of pat statistical procedures but rather an approach. The Ecological Detective makes liberal use of computer programming for the generation of hypotheses, exploration of data, and the comparison of different models. The authors' attitude is one of exploration, both statistical and graphical. The background required is minimal, so that students with an undergraduate course in statistics and ecology can profitably add this work to their tool-kit for solving ecological problems.