Title :
A goodness-of-fit statistical toolkit
Author :
Cirrone, G.A.P. ; Donadio, S. ; Guatelli, S. ; Mantero, A. ; Mascialino, B. ; Parlati, S. ; Pia, M.G. ; Pfeiffer, A. ; Ribon, A. ; Viarengo, P.
Author_Institution :
Italian Inst. for Nucl. Res., L´´Aquila, Italy
Abstract :
Statistical methods play a significant role throughout the life-cycle of physics experiments, being an essential component of physics analysis. The present project in progress aims to develop an object-oriented software Toolkit for statistical data analysis. The Toolkit contains a variety of Goodness-of-Fit (GoF) tests, from Chi-squared to Kolmogorov-Smirnov, to less known, but generally much more powerful tests such as Anderson-Darling, Goodman, Fisz-Cramer-von Mises, Kuiper. Thanks to the component-based design and the usage of the standard abstract interfaces for data analysis, this tool can be used by other data analysis systems or integrated in experimental software frameworks. In this paper we describe the statistical details of the algorithms and the computational features of the Toolkit. With the aim of showing the consistency between the code and the mathematical features of the algorithms, we describe the results we obtained reproducing by means of the Toolkit a couple of Goodness-of-Fit testing examples of relevance in statistics literature.
Keywords :
data analysis; high energy physics instrumentation computing; object-oriented programming; statistical testing; Anderson-Darling statistics; Chi-squared test; Fisz-Cramer-von Mises test; Goodman test; Goodness-of-Fit tests; Kolmogorov-Smirnov test; Kuiper statistics; algorithms feature; component-based design; computational feature; distributions comparison; high energy physics experiments; object-oriented software Toolkit; standard abstract interfaces; statistical data analysis; statistical methods; Data analysis; Physics; Plasma welding; Random variables; Software libraries; Software standards; Software testing; Software tools; Statistical analysis; Statistical distributions; Data analysis; GoF; Goodness-of-Fit; distributions comparison; software; statistics; tests;
Journal_Title :
Nuclear Science, IEEE Transactions on
DOI :
10.1109/TNS.2004.836124