分析：Assessing Superiority of the Learning Effectiveness in the Three-Arm Design in the Presence of Heteroscedasticity
The most commonly used indicator for assessing learning effectiveness in the knowledge area is the average score of learning. In order to compare the learning performance of students in three teaching methods, we try to use superiority test of the three-arm design to assess the learning outcomes of students. In this research, we use the Fieller’s method and the bootstrap method to facilitate superiority test for assessing learning effectiveness of the three teaching methods in the three-arm design in the presence of heteroscedasticity. Through an intensive simulation study, the Fieller’s method not only adequately controls empirical size at the nominal level, but also is uniformly more powerful than those of the bootstrap method. Accordingly, the Fieller’s method can be recommended for routine applications. Finally, the real data set is given to illustrate the methods.
會議報告/應用：發表於SEAAIR 19th Annual Conference 25th-27th September, 2019 , Taiwan.