A goodness-of-fit statistical toolkit
- 18 October 2004
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Nuclear Science
- Vol. 51 (5) , 2056-2063
- https://doi.org/10.1109/tns.2004.836124
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
This publication has 17 references indexed in Scilit:
- Geant4—a simulation toolkitNuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2003
- Precision validation of Geant4 electromagnetic physicsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Implementation of a new Monte Carlo simulation tool for the development of a proton therapy beam line and verification of the related dose distributionsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Simulation of X-ray fluorescence and application to planetary astrophysicsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- ROOT — An object oriented data analysis frameworkNuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 1997
- A Bootstrap Revival of Some Nonparametric Distance TestsJournal of the American Statistical Association, 1988
- THE EFFECT OF AUGMENTED SENSORY FEEDBACK ON THE CONTROL OF SALIVATIONPsychophysiology, 1968
- On a Result by M. Rosenblatt Concerning the Von Mises-Smirnov TestThe Annals of Mathematical Statistics, 1960
- Tests concerning random points on a circleIndagationes Mathematicae, 1960
- A Test of Goodness of FitJournal of the American Statistical Association, 1954