By Subhash R. Lele,Joan T. Richtsmeier
An Invariant method of the Statistical research of Shapes effects from a protracted and fruitful collaboration among a mathematical statistician and a biologist. jointly they've got built a strategy that addresses the significance of medical relevance, organic variability, and invariance of the statistical and clinical inferences with recognize to the arbitrary number of the coordinate method. They current the heritage and foundations of morphometrics, talk about a number of the forms of facts utilized in the research of shape, and supply justification for selecting landmark coordinates as a well-liked information variety. They describe the statistical versions used to symbolize intra-population variability of landmark info and convey that arbitrary translation, rotation, and mirrored image of the gadgets introduce infinitely many nuisance parameters. the main primary a part of morphometrics-comparison of forms-receives in-depth remedy, as does the examine of development and progress styles, category, clustering, and asymmetry.
Morphometrics has only in the near past started to contemplate the invariance precept and its implications for the learn of organic shape. With the good thing about twin views, An Invariant method of the Statistical research of Shapes stands as a different and critical paintings that brings a decade's worthy of cutting edge tools, observations, and insights to an viewers of either statisticians and biologists.
Read or Download An Invariant Approach to Statistical Analysis of Shapes (Chapman & Hall/CRC Interdisciplinary Statistics) PDF
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Additional info for An Invariant Approach to Statistical Analysis of Shapes (Chapman & Hall/CRC Interdisciplinary Statistics)
An Invariant Approach to Statistical Analysis of Shapes (Chapman & Hall/CRC Interdisciplinary Statistics) by Subhash R. Lele,Joan T. Richtsmeier