Year: 2019
Type: article
Abstract: We examine the test for binned, Gaussian samples, including effects due to the fact that the experimentally available sample standard deviation and the unavailable true standard deviation have different statistical properties. For data formed by binning Gaussian samples with bin size n , we find that the expected value and standard deviation of the reduced statistic is where N is the total number of binned values. This is strictly larger in both mean and standard deviation than the value of reported in standard treatments, which ignore the distinction between true and sample standard deviation.
Source: Metrologia
Author: Nicholas R Hutzler
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2954149255