References
- Bishop, T.A., Dudewicz, E.J. (1981). Heteroscedastic ANOVA. Sankhya. 43 B:40–57.
- Brown, M.B., Forsythe, A.B. (1974). The small sample behavior of some statistics which test the equality of several means. Technometrics. 16:129–132.
- Chang, C.H., Pal, N. (2008). A revisit to the Behren-Fisher Problem: Comparison of five test methods. Commun Stat Simul Comput. 37(6):1064–1085.
- Chang, C.H., Pal, N., Lim, W.K. (2010). Comparing several population means: A parametric bootstrap method and its comparison with usual ANOVA F test as well as ANOM. Comput Stat. 25(1):71–95.
- Cochran, W. G. (1937). Problems arising in the analysis of a series of similar experiments. J. Roy. Statist. Soc. (Suppl.) 4:102–118.
- Gerami, A., Zahedian, A. (2001). Comparing the Means of Normal Populations with Unequal Variances (Proceedings of the 53rd Session of Intenational Statistical Institute, Seoul, Korea).
- Gökpınar, E., Gökpınar, F. (2012). A test based on the computational approach for equality of means under the unequal variance assumption. Hacettepe J Math Static. 41(4):605–613.
- Krishnamoorthy, K., Lu, F., Thomas, M. (2006). A parametric boostrap approach for ANOVA with unequal variances: Fixed and random models. Computational Stat Data Anal. 51:5731–5742.
- Krutchkoff, R.G. (1988). One-way fixed effects analysis of variance when the error variances may be unequal. J Statist Comput Simul. 30:259–271.
- Lee, S., Ahn, C.H. (2003). Modified ANOVA for unequal variances. Commun Stat Simul. 32:987–1004.
- Pal, N., Lim, W.K., Ling, C.H. (2007). A computational approach to statistical inferences. J Appl Probab Stat. 2(1):13–35.
- Sadooghi-Alvandi, S.M., Jafari, A.A., Mardani-Fard, H.A. (2012). One-way ANOVA with Unequal Variances. Commun Stat Theory Methods. 41(22):4200–4221.
- Weerahandi, S. (1995a). ANOVA under unequal error variances. Biometrica. 38:330–336.
- Weerahandi, S. (1995b). Exact Statistical Method for Data Analysis. New York: Springer-Verlag.
- Welch, B.L. (1951). On the comparison of several mean values: An alternative approach. Biometrica. 38:330–336.
- Xu, L., Wang, S. (2007a). A new generalized p-value for ANOVA under heteroscedasticity. Stat Probability Lett. 78:963–969.
- Xu, L., Wang, S. (2007b). A new generalized p-value and its upper bound for ANOVA under unequal erros variances. Commun Stat Theory Methods. 37:1002–1010.
- Yigit, E., Gökpınar, F. (2010). A simulation study on tests for one-way ANOVA under the unequal variance assumption. Commun Fac Sci Univ Ank Series A. 12:15–34.
- Zhang, G. (2015). Simultaneous confidence intervals for pairwise multiple comparisons in a two-way unbalanced design with unequal variances. J Stat Comput Simul 85(13):2727–2735.