On the robustness of type-1 and type-2 fuzzy tests vs. ANOVA tests on means

Authors:
Juan C. Figueroa García;Dusko Kalenatic;Cesar Amilcar Lopez Bello
Affiliations:
Universidad Distrital Francisco José de Caldas, Bogotá, Colombia;Universidad de la Sabana, Chia, Colombia;Universidad Distrital Francisco José de Caldas, Bogotá, Colombia
Venue:
ICIC'09 Proceedings of the Intelligent computing 5th international conference on Emerging intelligent computing technology and applications
Year:
2009

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Abstract

This paper presents a simulation study on fuzzy tests vs. ANOVA test on means. Type-1, Interval Type-2 and ANOVA classical tests are compared through a simulated experiment for contrasting the stability of those approaches in front to a small change on sample. We perform an experiment of comparing the means of three groups where the classical ANOVA test is very nearby to the rejection p-value and the fuzzy tests get more robust results. In this way, we use bootstrap concepts to simulate the change of a random value of the sample to view the behavior of each technique in front to these changes.