Measurement Uncertainties in Science and Technology

This book recasts classical Gaussian error calculus from scratch. The new edition thoroughly restructures and systematizes the text and offers numerous numerical examples, showing how to understand uncertainties, to localize the true values of measured values.

This book recasts the classical Gaussian error calculus from scratch, the inducements concerning both random and unknown systematic errors. The idea of this book is to create a formalism being fit to localize the true values of physical quantities considered true with respect to the set of predefined physical units. Remarkably enough, the prevailingly practiced forms of error calculus do not feature this property which however proves in every respect, to be physically indispensable. The amended formalism, termed Generalized Gaussian Error Calculus by the author, treats unknown systematic errors as biases and brings random errors to bear via enhanced confidence intervals as laid down by Student. The significantly extended second edition thoroughly restructures and systematizes the text as a whole and illustrates the formalism by numerous numerical examples. They demonstrate the basic principles of how to understand uncertainties to localize the true values of measured values - a perspective decisive in view of the contested physical explorations.

Expanded, restructured and updated new edition

Standardizes data evaluations

A useful guidebook to experimentalists

Leads metrology down to the physically true values of measured quantities

Includes new fundamental physical measuring effects

Includes supplementary material: sn.pub/extras

Autorentext
Michael Grabe studierte Physik in Braunschweig und Stuttgart, Diplom in Stuttgart, Doktorand - Stipendium der Deutschen Forschungsgemeinschaft an der University of Colorado in Boulder, Promotion zum Dr. rer. nat. in Braunschweig, Wissenschaftlicher Assistent und Lehrbeauf tragter für Physikalische Chemie und Datenverarbeitung. Wissenschaftlicher Mitarbeiter der Physikalisch-Technischen Bundesanstalt Braunschweig, beauftragt mit Problemen des gesetzlichen Messwesens, der rechnergesteuerten interferrometrischen Längenmessung, des Schätzens von Messungssicherheiten und der Anpassung von Fundamentalkonstanten der Physik. Publikationen und Vorträge über Verfahren zum Auswerten von Messdaten.

Inhalt
Characterization, Combination of Propagation of Errors.- Least Squares Adjustment.- Linear and Linearized Systems.- Generic Metrological Issues.