Model selection in the average of inconsistent data: an analysis of the measured Planck-constant values
Data Analysis, Statistics and Probability
2020-07-21 v1
Abstract
When the data do not conform to the hypothesis of a known sampling-variance, the fitting of a constant to a set of measured values is a long debated problem. Given the data, fitting would require to find what measurand value is the most trustworthy. Bayesian inference is here reviewed, to assign probabilities to the possible measurand values. Different hypothesis about the data variance are tested by Bayesian model comparison. Eventually, model selection is exemplified in deriving an estimate of the Planck constant.
Keywords
Cite
@article{arxiv.2007.09428,
title = {Model selection in the average of inconsistent data: an analysis of the measured Planck-constant values},
author = {Giovanni Mana and Enrico Massa and Maria Predescu},
journal= {arXiv preprint arXiv:2007.09428},
year = {2020}
}
Comments
15 pages, 4 figures, 2 tables