Testing methods for the one-way fixed effects ANOVA models of log-normal samples |
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Authors: | Jiin-Huarng Guo Wei-Ming Luh |
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Affiliation: | 1. Department of Mathematical Sciences , Chinese Air Force Academy , Republic of China;2. Institute of Education , National Cheng Kung University , Taiwan, Republic of China |
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Abstract: | For one-way fixed effects of log-normal data with unequal variance, the present study proposes a method to deal with heterogeneity. An appropriate hypothesis testing is demonstrated; and one of the approximate tests, such as the Alexander-Govern test, Welch test or James second-order test, is applied to control Type I error rate. Monte Carlo simulation is used to investigate the performance of the F test for log-scale, the F test for original scale, the James second-order test, the Welch test, and the Alexander-Govern test. The simulated results and real data analysis show that the proposed method is valid and powerful. |
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