An Alternative P-Value Test Approach to Tests of Mean for Normal Population with Fuzzy Data

Translated Titles





蔡長鈞(Chang-Chun Tsai);陳正哲(Cheng-Che Chen)

Key Words

模糊集合 ; 模糊數 ; 假設檢定 ; P值 ; fuzzy sets ; fuzzy number ; hypothesis testing ; p-value



Volume or Term/Year and Month of Publication

22卷6期(2005 / 11 / 01)

Page #

485 - 496

Content Language


Chinese Abstract


English Abstract

This paper proposes an alternative p-value test approach to proceed statistical tests of mean for normal population with fuzzy data. In real-world applications, the approach is often used in tests of average quality characteristics in manufacturing environments. In the proposed approach, the membership function of fuzzy test statistic is first constructed based on the α-cuts of fuzzy numbers. Since the function relationship between fuzzy test statistic and fuzzy data under known population variance is different from that under unknown population variance, we use two methods to construct the membership function under known and unknown population variance environment respectively. An alternative p-value is then calculated according to this membership function. Consequently, a statistical decision can be made by comparing the alternative p-value with the significance level. Two numerical examples are given for illustration.

Topic Category 工程學 > 工程學總論
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