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Analysis of variance based on fuzzy observations
Authors:M Nourbakhsh  A Parchami
Affiliation:1. Department of Statistics , Vali-e-Asr University of Rafsanjan , Iran;2. Department of Statistics, Faculty of Mathematics and Computer Sciences , Shahid Bahonar University of Kerman , Kerman , Iran
Abstract:Analysis of variance (ANOVA) is an important method in exploratory and confirmatory data analysis. The simplest type of ANOVA is one-way ANOVA for comparison among means of several populations. In this article, we extend one-way ANOVA to a case where observed data are fuzzy observations rather than real numbers. Two real-data examples are given to show the performance of this method.
Keywords:fuzzy statistics  fuzzy numbers  analysis of variance  testing hypothesis
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