Data Reduction and Error Analysis for the Physical Sciences

By P. R. Bevington. 1969

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A reference Earth model for the heat‐producing elements and associated geoneutrino flux (2013, methodology): “The commonly used quadratic error propagation method [ Bevington and Robinson , 2003] is only applicable for linear combinations (addition and subtraction) of errors of normally distributed variables.”
Global anisotropic phase velocity maps for fundamental mode surface waves between 40 and 150 s (2003, background): “Bevington & Robinson 1992 ), which states to what level of confidence the difference in variance reduction is significant.”
Mathematical models to describe thin-layer drying and to determine drying rate of whole bananas (2014, methodology): “, 2004), and the results will be evaluated through the statistical indicators chi-square and determination coefficient (Bevington and Robinson, 1992; Taylor, 1997).”
Shape model and surface properties of the OSIRIS-REx target Asteroid (101955) Bennu from radar and lightcurve observations (2013, background): “Measuring the curvature of the computed χ 2 (Bevington, 1969) gives unreasonably large errors: The fits are obviously bad long before the 1-sigma uncertainties estimated from the curvature of χ 2 , and differences in reduced χ 2 of 0.”