主題瀏覽
並列摘要
When the homogeneity hypothesis of treatment means under heteroscedasticity is rejected, one may be interested in comparing each treatment with all other treatments. The objective of this paper is to derive two multiple range test procedures, the Newman-Keuls type and Duncan type, for multiple comparisons of treatment means with unknown and unequal variances. We investigate these pairwise comparison procedures with the Tukey type simultaneous confidence intervals approach with respect to comparisonwise and experimentwise error rates, as well as correct decision rates. The tables for applying the new multiple range test procedures are provided, along with a numerical example to demonstrate the methods.
延伸閱讀
- Lee, C. C. I., Liu, L., & Peng, J. (2005). A One-Sided Multiple Comparison Procedure in Restricted Normal Models. 中國統計學報, 43(4), 433-449. https://doi.org/10.29973/JCSA.200512.0005
- 李勇、林金官、呂慶哲（2007）。Testing for Phased Heteroscedasticity and Autocorrelation in CAPM with Structural Change。智慧科技與應用統計學報，5(2)，23-31。https://doi.org/10.29807/JTITAS.200712.0002
- Gao, R. (2022). Comparison of Prediction Models based on Combination of Multiple Methods. Frontiers in Economics and Management, 3(2), 524-540. https://doi.org/10.6981/FEM.202202_3(2).0064
- Chen, C. M. (2004). Semiparametric Transformation CureModels with Heteroscedasticity [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2004.10103
- Yu, L. H. (1993). Some multiple comparison selection procedures and their applications [doctoral dissertation, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200007236