000 04437nam a22005175i 4500
001 978-0-387-74075-1
003 DE-He213
005 20161121231208.0
007 cr nn 008mamaa
008 100301s2008 xxu| s |||| 0|eng d
020 _a9780387740751
_9978-0-387-74075-1
024 7 _a10.1007/978-0-387-74075-1
_2doi
050 4 _aQH540-549.5
072 7 _aPSAF
_2bicssc
072 7 _aSCI020000
_2bisacsh
082 0 4 _a577
_223
100 1 _aAnderson, David R.
_eauthor.
245 1 0 _aModel Based Inference in the Life Sciences: A Primer on Evidence
_h[electronic resource] /
_cby David R. Anderson.
264 1 _aNew York, NY :
_bSpringer New York,
_c2008.
300 _aXXIV, 184 p. 8 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aIntroduction: Science Hypotheses and Science Philosophy -- Data and Models -- Information Theory and Entropy -- Quantifying the Evidence About Science Hypotheses -- Multimodel Inference -- Advanced Topics -- Summary.
520 _aThe abstract concept of "information" can be quantified and this has led to many important advances in the analysis of data in the empirical sciences. This text focuses on a science philosophy based on "multiple working hypotheses" and statistical models to represent them. The fundamental science question relates to the empirical evidence for hypotheses in this set—a formal strength of evidence. Kullback-Leibler information is the information lost when a model is used to approximate full reality. Hirotugu Akaike found a link between K-L information (a cornerstone of information theory) and the maximized log-likelihood (a cornerstone of mathematical statistics). This combination has become the basis for a new paradigm in model based inference. The text advocates formal inference from all the hypotheses/models in the a priori set—multimodel inference. This compelling approach allows a simple ranking of the science hypothesis and their models. Simple methods are introduced for computing the likelihood of model i, given the data; the probability of model i, given the data; and evidence ratios. These quantities represent a formal strength of evidence and are easy to compute and understand, given the estimated model parameters and associated quantities (e.g., residual sum of squares, maximized log-likelihood, and covariance matrices). Additional forms of multimodel inference include model averaging, unconditional variances, and ways to rank the relative importance of predictor variables. This textbook is written for people new to the information-theoretic approaches to statistical inference, whether graduate students, post-docs, or professionals in various universities, agencies or institutes. Readers are expected to have a background in general statistical principles, regression analysis, and some exposure to likelihood methods. This is not an elementary text as it assumes reasonable competence in modeling and parameter estimation. DAVID R. ANDERSON retired recently from serving as a senior scientist with the U.S. Geological Survey and professor in the Department of Fish, Wildlife, and Conservation Biology at Colorado State University. He has an emeritus professorship at CSU and is president of the Applied Information Company in Fort Collins. He has authored 18 scientific books and research monographs and over 100 journal publications. He has received a variety of awards, including U.S. Department of Interior’s Meritorious Service Award and The Wildlife Society’s 2004 Aldo Leopold Memorial Award and Medal.
650 0 _aLife sciences.
650 0 _aEpidemiology.
650 0 _aEcology.
650 0 _aEvolutionary biology.
650 0 _aStatistics.
650 0 _aSocial sciences.
650 1 4 _aLife Sciences.
650 2 4 _aEcology.
650 2 4 _aStatistics for Life Sciences, Medicine, Health Sciences.
650 2 4 _aEnvironmental Monitoring/Analysis.
650 2 4 _aEvolutionary Biology.
650 2 4 _aEpidemiology.
650 2 4 _aMethodology of the Social Sciences.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387740737
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-74075-1
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c509948
_d509948