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Theorems on the Prevalence Threshold and the Geometry of Screening Curves

By Jacques Balayla

Theorems on the Prevalence Threshold and the Geometry of Screening Curves Medicine

Theorems on the Prevalence Threshold and the Geometry of Screening Curves

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Description
In Theorems on the Prevalence Threshold and the Geometry of Screening Curves, the author explores the mathematical underpinnings of screening and diagnostic testing, offering a unique and novel perspective which employs classical differential geometry and Bayesian theory to elucidate critical aspects of clinical decision-making. Taking the reader on a mathematical journey which bridges these seemingly unrelated worlds, the author presents a quantifiable framework on clinical judgement by introducing the "prevalence threshold" - a novel statistical parameter derived from Bayesian principles by means of the study of the geometry of screening curves. As the prevalence threshold demarcates the pretest probability level beyond which additional information ceases to significantly enhance the yield and reliability of a clinical assessment, it may serve as a benchmark for confidence in clinical decision-making. Given the theorems herein described, readers will find comprehensive analyses and insightful explorations of how these geometric concepts apply to real-world diagnostic scenarios, allowing the clinician to navigate clinical care more effectively at both the individual and public health levels.
Product details
Binding:
Paperback
Number of Pages:
332
Release Date:
2025-11-11
Publication Date:
2025-11-11
Publisher:
Springer
Languages:
Original: English
ISBN10:
3031714547
ISBN13:
9783031714542
GPSR Manufacturer Reference:
[email protected]
Weight:
701 g
Height:
178 cm
Width:
254 cm
Thickness:
17 cm
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