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The statistical eyeglasses : the math behind scientific knowledge

Author: Edoardo Milotti; Morgan & Claypool Publishers,; Institute of Physics (Great Britain),
Publisher: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018] [2018]
Series: IOP concise physics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Science often deals with hard-to-see phenomena, and they only stand out and become real when viewed through the lens of complex statistical tools. This book is not a textbook about statistics applied to science--there are already many excellent books to choose from--rather, it gives an overview of the basic principles that physical scientists use to analyze their data and bring out the order of Nature from the fog  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Edoardo Milotti; Morgan & Claypool Publishers,; Institute of Physics (Great Britain),
ISBN: 9781643271507 1643271504 9781643271484 1643271482
OCLC Number: 1080122266
Notes: "Version: 20181101"--Title page verso.
"A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.
Description: 1 online resource : illustrations (some color).
Contents: 1. Models of nature --
2. Randomness --
2.1. What is random? --
2.2. How does randomness show up in nature? --
2.3. Random and deterministic signals --
2.4. From noisy data to the likelihood function 3. Bayesian and frequentist approaches to scientific inference --
3.1. Bayes' theorem --
3.2. The same game, and a mysterious result --
3.3. Statistical descriptors 4. The principles of inferential statistics --
4.1. Bayes and the likelihood function --
4.2. The 'least informative prior' --
4.3. The principles of inferential statistics 5. Parametric inference --
5.1. Bayesian parametric inference --
5.2. Frequentist parametric inference 6. Prior distributions and equiprobable events in the physical sciences --
6.1. Elementary Monte Carlo method --
6.2. Transformations of random variables by Monte Carlo --
6.3. Bertrand's paradox --
7. Conclusions : the statistical nature of scientific knowledge.
Series Title: IOP concise physics.
Other Titles: Math behind scientific knowledge.
Responsibility: Edoardo Milotti.

Abstract:

Science often deals with hard-to-see phenomena, and they only stand out and become real when viewed through the lens of complex statistical tools. This book is not a textbook about statistics applied to science--there are already many excellent books to choose from--rather, it gives an overview of the basic principles that physical scientists use to analyze their data and bring out the order of Nature from the fog of background noise.

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