Stereology For Statisticians


Stereology For Statisticians
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Stereology For Statisticians


Stereology For Statisticians
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Author : Adrian Baddeley
language : en
Publisher: CRC Press
Release Date : 2004-11-29

Stereology For Statisticians written by Adrian Baddeley and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-29 with Mathematics categories.


Setting out the principles of stereology from a statistical viewpoint, this book focuses on both basic theory and practical implications. The authors discuss ways to effectively communicate statistical issues to clients, draw attention to common methodological errors, and provide references to essential literature. The first full text on design-based stereology opens with a review of classical and modern stereology, followed by a treatment of mathematical foundations and then on to core techniques. The final chapters discuss implementing techniques in practical sampling designs, summarize understanding of the variance of stereological estimators, and describe open problems for further research. The book also details isotropic, vertical or local sampling designs for estimating stereological parameters such as volume, surface area, particle number and spatial distribution. This extensive text offers support to statistical consultants using examples, applications and unique Advice to Consultants sections. It contains numerous literature references, bibliographic notes and nearly 150 illustrations.



Stereology For Statisticians


Stereology For Statisticians
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Author : Adrian Baddeley
language : en
Publisher: CRC Press
Release Date : 2004-11-29

Stereology For Statisticians written by Adrian Baddeley and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-29 with Mathematics categories.


Setting out the principles of stereology from a statistical viewpoint, this book focuses on both basic theory and practical implications. The authors discuss ways to effectively communicate statistical issues to clients, draw attention to common methodological errors, and provide references to essential literature. The first full text on design-bas



Unbiased Stereology


Unbiased Stereology
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Author : V. HOWARD
language : en
Publisher: BIOS Scientific Publishers
Release Date : 1998-04-03

Unbiased Stereology written by V. HOWARD and has been published by BIOS Scientific Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-03 with Science categories.


In Unbiased Stereology, the authors present a practical guide to making unbiased 3D measurements using microscopy. Stereology is the statistical inference of geometric parameters from spatially sampled information; it is considered unbiased when the test probes are positioned in an appropriately random manner. Now that unbiased stereology is required for nerve-cell counts in neurotoxicology by the FDA and by many journals before the acceptance of an article or study, this book is essential reading. It includes only those stereological techniques that have been tried and tested by actual application. Specific topics covered include: random sampling and random geometry; the estimation of feature volume, surface, length, number and mean particle size; as well as statistics for stereologists.



Practical Stereology


Practical Stereology
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Author : John C. Russ
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-09

Practical Stereology written by John C. Russ and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-09 with Science categories.


vi on geometric probability is included, students can be expected to create a few simple programs like those shown, but for other geometries. I am indebted to Tom Hare for critical reviews of the material and an endless enthusiasm to debate and derive stereological relationships; to John Matzka at Plenum Press for patiently instructing me in the intricacies of typesetting; to Chris Russ for helping to program many of these measurement techniques; and especially to Helen Adams, both for her patience with my creative fever to write yet another book, and for pointing out that the title, which I had intended to contrast to "theoretical stereology," can also be understood as the antonym of "impractical stereology." John C. Russ Raleigh,NC July, 1986 Chapter 1: Statistics 1 Accuracy and precision 1 The mean and standard deviation 5 Distributions 7 Comparison 13 Correlation 18 Nonlinear fitting 19 Chapter 2: Image Types 23 Planar sections 23 Projected images 25 Finite sections 28 Space-filling structures and dispersed phases 29 Types of images and contrast mechanisms 31 Sampling 32 Chapter 3: Manual Methods 35 Volume fraction 35 Surface density 38 Contiguity 41 Mean intercept length 42 Line density 43 Grain size determination 55 Curvature 48 Reticles to aid counting 49 Magnification and units 51 Chapter4: Size Distributions 53 Intercept length in spheres 53 Nonspherical shapes 57 Corrections for finite section thickness 59 Lamellae 61 Measurement of profile size 62 Nonspherical particles 69 vii Contents viii Chapter 5: Computer Metlwds 73



Spatial Statistics And Digital Image Analysis


Spatial Statistics And Digital Image Analysis
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Author : National Research Council
language : en
Publisher: National Academies Press
Release Date : 1991-02-01

Spatial Statistics And Digital Image Analysis written by National Research Council and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-02-01 with Mathematics categories.


Spatial statistics is one of the most rapidly growing areas of statistics, rife with fascinating research opportunities. Yet many statisticians are unaware of those opportunities, and most students in the United States are never exposed to any course work in spatial statistics. Written to be accessible to the nonspecialist, this volume surveys the applications of spatial statistics to a wide range of areas, including image analysis, geosciences, physical chemistry, and ecology. The book describes the contributions of the mathematical sciences, summarizes the current state of knowledge, and identifies directions for research.



Stereology And Stochastic Geometry


Stereology And Stochastic Geometry
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Author : John E. Hilliard
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-11-30

Stereology And Stochastic Geometry written by John E. Hilliard and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-30 with Computers categories.


Somebody had to do it. The Chinese speak of deep water wells called "grandfather wells" because they take three generations of diggers to complete. Imagine the thought of such a well being abandoned incomplete by the third generation. What a loss! This book is like a grandfather well except that it has taken only two generations, John Hilliard's and mine, to finish. When I saw his manuscript lying in a heap, I decided that I must spend the time to put it and his notes into a publishable form. Now, it is done. This book is mostly about performing spatial measurements through the statistical sampling of images; it is a text on classical stereology as John Hilliard saw it. His vision of the subject was broad. Consequently, its title is broad too. It presents this subject and some of its modem extensions from the classical perspective of the one of the founders of the field, and my first advisor at Northwestern University, John Hilliard. There is nothing new in this book but much that may have been lost over time. It rediscovers many useful discussions about such subjects as the variances of stereo logical measurements, anisotropy etc. It recovers some of the dialogues between John Hilliard and his students on such topics as fractals and Monte Carlo simulations. It recaptures a little of John Hilliard's unique and subtle wit.



Local Stereology


Local Stereology
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Author : Eva B. Vedel Jensen
language : en
Publisher: World Scientific
Release Date : 1998

Local Stereology written by Eva B. Vedel Jensen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


This book provides a unified exposition of local-stereological methods developed within the last 15 years. The object of local stereology is to draw inference about quantitative parameters of spatial structures which can be regarded as neighbourhoods of points, called reference points. The model example is a biological cell which can be regarded as a neighbourhood of its nucleus. In local stereology, information from sections through the reference point is used. Only very weak assumptions are needed for the structure under study. For instance, specific cell shape assumptions are not necessary.In order to reach a broader audience, the book has been written not only for specialists in stereology, integral geometry and geometric measure theory. In particular, Chapter 1 is an elementary introduction to stereology and the book contains about 75 illustrations. The theory of local steroelogy involves, however, advanced mathematical tools, which constitute an important part of the book.Local-stereological methods are now in world-wide use in the microscopical study of biological tissue, and this invaluable book also contains a description of how the local methods are used in practice.



Spatial Statistics


Spatial Statistics
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Author : Brian D. Ripley
language : en
Publisher: John Wiley & Sons
Release Date : 2005-02-25

Spatial Statistics written by Brian D. Ripley 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 2005-02-25 with Mathematics categories.


The Wiley-Interscience Paperback Series consists of selected booksthat have been made more accessible to consumers in an effort toincrease global appeal and general circulation. With these newunabridged softcover volumes, Wiley hopes to extend the lives ofthese works by making them available to future generations ofstatisticians, mathematicians, and scientists. "Books such as this that bring together, clarify, and summarizerecent research can lead to a great increase of interest in thearea. . . . a major achievement in describing many aspects ofspatial data and discussing, with examples, different methods ofanalysis." –Royal Statistical Society "Dr. Ripley’s book is an excellent survey of the spatialstatistical methodology. It is very well illustrated with examples[that] give a clear view of the wide scope of the subject, the wayin which techniques often have to be tailored to particularapplications, and the different sorts of spatial data thatarise." –The Bulletin of the London Mathematics Society Spatial Statistics provides a comprehensive guide to theanalysis of spatial data. Each chapter covers a particular dataformat and the associated class of problems, introducing theory,giving computational suggestions, and providing examples. Methodsare illustrated by computer-drawn figures. The book serves as anintroduction to this rapidly growing research area formathematicians and statisticians, and as a reference to newcomputer methods for researchers in ecology, geology, archaeology,and the earth sciences.



Unbiased Stereology


Unbiased Stereology
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Author : Peter R. Mouton
language : en
Publisher: JHU Press
Release Date : 2011-07-19

Unbiased Stereology written by Peter R. Mouton and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-19 with Science categories.


This update to Peter R. Mouton's pioneering work provides bioscientists with the concepts needed in order to apply the principles and practices of unbiased stereology to research involving biological tissues. Mouton starts with a brief explanation of the history and theory of the process before defining the terms, concepts, and tools of unbiased stereological procedures. He compares and contrasts the procedures with less-exacting approaches to quantitative analysis of biological structure using specific examples from biomedical literature. The book incorporates existing best practices with new methodologies, such as the Rare Event Protocol, while simplifying the dense, often difficult literature on the Subject to show the utility and importance of unbiased stereology. This clear, insightful guide goes a step further than other books on this Subject by demonstrating not only how to use unbiased stereology but also how to interpret and present the results. Written by the official U.S. representative to the International Society for Stereology, this is the most complete, up-to-date resource on the science of unbiased stereology. Those new to bioscience research as well as experienced practitioners will find that Mouton's explanations are the perfect companion for stereology courses and workshops.



Quantitative Stereology


Quantitative Stereology
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Author : Ervin E. Underwood
language : en
Publisher: Addison-Wesley
Release Date : 1970

Quantitative Stereology written by Ervin E. Underwood and has been published by Addison-Wesley this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Science categories.