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A Statistical Hypothesis Testing for One Factor Analysis of Variance Using Fuzzy Observations

A. Mariappan, M. Pachamuthu


This paper aims to apply the Analysis of Variance (ANOVA) in fuzzy nature. In this respect, an approach to the crisp ANOVA model is presented and analyzed to deal with fuzzy one-factor ANOVA data. A simple statistical technique for testing the fuzzy hypotheses of the one factor ANOVA model using samples with fuzzy data is proposed without using h-level concept. The proposed method includes decision rules for accepting or rejecting the null and alternative hypotheses, but no notions of pessimism or optimism are employed. Illustrative numerical examples have explained the concept of the proposed approach.

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