Goodness-of-fit testing is a statistical methodology used to assess whether a dataset conforms to a hypothesized theoretical distribution or model. This process is critical across scientific and industrial domains - from validating normality assumptions in medical research to evaluating financial risk models - as it ensures the reliability of subsequent analyses and conclusions. However, the effectiveness of such testing depends on the choice of criteria, which vary in their sensitivity to sample size, significance level, and alternative hypotheses.To address this challenge, we propose a flexible, open-source framework designed for systematic comparison of goodness-of-fit criteria. The framework enables researchers to configure experiments by adjusting parameters such as sample size, significance level, and alternative distributions, while offering modular integration under any criterion. Its architecture decouples data generation, criterion application, and result analysis, ensuring reproducibility and scalability.Using this framework, we provide a comprehensive comparison of normality criteria, evaluating their performance under varying sample sizes and alternative distributions. The results demonstrate significant differences in criterion power and robustness, underscoring the importance of context-aware methodology selection. This work advances statistical practice and supports the development of new criteria.
Original languageEnglish
Title of host publication2025 37th Conference of Open Innovations Association (FRUCT)
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages195-202
Number of pages8
ISBN (Print)9789526524634
DOIs
StatePublished - 14 May 2025
EventThe 37th FRUCT conference: FRUCT37 - UiT The Arctic University of Norway, Kufstein, Austria
Duration: 14 May 202516 May 2025
https://www.fruct.org/conferences/37/registration/

Publication series

NameConference of Open Innovation Association, FRUCT

Conference

ConferenceThe 37th FRUCT conference
Abbreviated titleFRUCT37
Country/TerritoryAustria
CityKufstein
Period14/05/2516/05/25
Internet address

ID: 137266869