Dealing with Uncertainties: A Guide to Error Analysis

✍ Scribed by Univ. Prof. Dr. Manfred Drosg (auth.)

• Publisher: Springer Berlin Heidelberg
• Year: 2007
• Tongue: English
• Leaves: 192
• Category: Library

✦ Synopsis

Dealing with Uncertainties proposes and explains a new approach for the analysis of uncertainties. Firstly, it is shown that uncertainties are the consequence of modern science rather than of measurements. Secondly, it stresses the importance of the deductive approach to uncertainties. This perspective has the potential of dealing with the uncertainty of a single data point and of data of a set having differing weights. Both cases cannot be dealt with the inductive approach, which is usually taken. This innovative monograph also fully covers both uncorrelated and correlated uncertainties. The weakness of using statistical weights in regression analysis is discussed. Abundant examples are given for correlation in and between data sets and for the feedback of uncertainties on experiment design.

✦ Table of Contents

Front Matter....Pages I-XIV
Introduction....Pages 1-5
Basics on Data....Pages 7-14
Basics on Uncertainties (Errors)....Pages 15-31
Radioactive Decay, a Model for Random Events....Pages 33-49
Frequency and Probability Distributions....Pages 51-69
Deductive Approach to Uncertainty....Pages 71-89
Correlation....Pages 91-119
Dealing With Internal Uncertainties....Pages 121-139
Presentation and Estimation of Uncertainties....Pages 141-151
Feedback of Uncertainties on Experiment Design....Pages 153-169
Back Matter....Pages 171-190

✦ Subjects

Measurement Science, Instrumentation; Statistics for Engineering, Physics, Computer Science, Chemistry & Geosciences