Main Article Content
The objectives of this research were to develop a new adaptive Levene statistic with median to test the equality of variance and to compare the performance of this new adaptive Levenestatistic with the median and Bartlett Levene O’Brien and Brown-Forsythe by considering the ability to control type 1 error and testing power under simulation using Monte Carlo technique
The result showed that thenew adaptive Levene statistic using the median for testing the variance to test the homogeneity of variancehas been developed. This new statistic developed by this study could control the type 1 error in more situationsthan the Bartlett and Levene statistics. In addition, this one controlled the type 1 error for the comparable to the O’Brien and Brown-Forsythe statistic according to Conover's toughness criteria from all 24situations. This new statistic was used to the data that out of+ the normality, this statistic tended to showmore powerful than that did by the Bartlett, Levene, O’Brien and Brown-Forsythe.
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.ผลงานที่ได้รับการตีพิมพ์ถือเป็นลิขสิทธิ์ของวารสารวิทยาการวิจัยและวิทยาการปัญญา
Brown, M. B., & Forsythe, A. B. (1974). Robust tests for the equality of variances. Journal of the American Statistical Association,69(346), 364-367.
Conover, W. J., Johnson, M. E., & Johnson, M. M. (1981). A comparative study of tests for homogeneity of variances, with applications to the outer continental shelf bidding data. Technometrics,23(4), 351-361.
Games, P. A., Winkler, H. B., & Probert, D. A. (1972). Robust tests for homogeneity of variance.Educational and Psychological Measurement,32(4), 887-909.
Gastwirth, J. L., Gel, Y. R., & Miao, W. (2009). The impact of Levene’s test of equality of variances on statistical theory and practice.Statistical Science,24(3), 343-360.
Levene, H. (1960). Contributions to probability and statistics.Essays in honor of Harold Hotelling, 278-292.
Lim, T. S., &Loh, W. Y. (1996). A comparison of tests of equality of variances.Computational Statistics & Data Analysis,22(3), 287-301.
O'Brien, R. G. (1981). A simple test for variance effects in experimental designs. Psychological Bulletin, 89(3), 570-574.
Wang, Y., Rodríguez de Gil, P., Chen, Y. H., Kromrey, J. D., Kim, E. S., Pham, T.Nguyen,D., & Romano, J. L. (2017). Comparing the performance of approaches for testing the homogeneity of variance assumption in one-factor ANOVA models. Educational and Psychological Measurement,77(2), 305-329.