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Belief, Evidence, and Uncertainty - Problems of Epistemic Inference (Paperback, 1st ed. 2016): Prasanta S. Bandyopadhyay,... Belief, Evidence, and Uncertainty - Problems of Epistemic Inference (Paperback, 1st ed. 2016)
Prasanta S. Bandyopadhyay, Gordon Brittan Jr., Mark L Taper
R2,430 Discovery Miles 24 300 Ships in 10 - 15 working days

This work breaks new ground by carefully distinguishing the concepts of belief, confirmation, and evidence and then integrating them into a better understanding of personal and scientific epistemologies. It outlines a probabilistic framework in which subjective features of personal knowledge and objective features of public knowledge have their true place. It also discusses the bearings of some statistical theorems on both formal and traditional epistemologies while showing how some of the existing paradoxes in both can be resolved with the help of this framework.This book has two central aims: First, to make precise a distinction between the concepts of confirmation and evidence and to argue that failure to recognize this distinction is the source of certain otherwise intractable epistemological problems. The second goal is to demonstrate to philosophers the fundamental importance of statistical and probabilistic methods, at stake in the uncertain conditions in which for the most part we lead our lives, not simply to inferential practice in science, where they are now standard, but to epistemic inference in other contexts as well. Although the argument is rigorous, it is also accessible. No technical knowledge beyond the rudiments of probability theory, arithmetic, and algebra is presupposed, otherwise unfamiliar terms are always defined and a number of concrete examples are given. At the same time, fresh analyses are offered with a discussion of statistical and epistemic reasoning by philosophers. This book will also be of interest to scientists and statisticians looking for a larger view of their own inferential techniques.The book concludes with a technical appendix which introduces an evidential approach to multi-model inference as an alternative to Bayesian model averaging.

The Nature of Scientific Evidence (Paperback, New): Mark L Taper, Subhash R Lele The Nature of Scientific Evidence (Paperback, New)
Mark L Taper, Subhash R Lele
R1,616 Discovery Miles 16 160 Ships in 10 - 15 working days

"An important role of statistical analysis in science is for interpreting observed data as evidence--showing 'what the data say.' Although the standard statistical methods (hypothesis testing, estimation, confidence intervals) are routinely used for this purpose, the theory behind those methods contains no defined concept of evidence, and no answer to the basic question: 'When is it correct to say that a given body of data represents evidence supporting one statistical hypothesis over another?' or to its sequel: 'Can we give an objective measure of the strength of statistical evidence?'" From "The Nature of Scientific Evidence"
An exploration of the statistical foundations of scientific inference, "The Nature of Scientific Evidence" asks what constitutes scientific evidence and whether scientific evidence can be quantified statistically. Mark Taper, Subhash Lele, and an esteemed group of contributors explore the relationships among hypotheses, models, data, and inference on which scientific progress rests in an attempt to develop a new quantitative framework for evidence. Informed by interdisciplinary discussions among scientists, philosophers, and statisticians, they propose a new "evidential" approach, which may be more in keeping with the scientific method. "The Nature of Scientific Evidence" persuasively argues that all scientists should care more about the fine points of statistical philosophy because therein lies the connection between theory and data.
Though the book uses ecology as an exemplary science, the interdisciplinary evaluation of the use of statistics in empirical research will be of interest to any reader engaged in the quantification and evaluation of data.

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