References
- Bickel, P. J., and J.-J. Ren. 2001. The bootstrap in hypothesis testing. In: State of the art in probability and statistics: Festschrift for William R. van Zwet, eds. M. de Gunst, C. Klaassen, and A. van der Vaart, 91–112. Hayward, CA: The Institute of Mathematical Statistics.
- Clarke, B. R. 1986. Nonsmooth analysis and Fréchet differentiability of M functionals. Probability Theory and Related Fields 73:137–209.
- Clarke, B. R. 2000. A review of differentiability in relation to robustness with an application to seismic data analysis. Proceedings of the Indian National Science Academy A 66:467–82.
- Curran, J. M. 2013. Hotelling: Hotelling’s T-squared test and variants. R Package version 1.0-2. https://cran.r-project.org/package=Hotelling.
- Fernholtz, L. T. 1983. von Mises calculus for statistical functionals. New York: Springer.
- Finch, H., and B. French. 2013. A “Monte Carlo” comparison of robust MANOVA test statistics. Journal of Modern Applied Statistical Methods 12:35–81.
- Gill, R. D. 1989. Non- and semi-parametric maximum likelihood estimators and the von Mises method, part 1. Scandinavian Journal of Statistics 16:97–128.
- Johnson, R. W. 1996. Fitting percentage of body fat to simple body measurements. Journal of Statistics Education 4. www.amstat.org/publications/jse/.
- Konietschke, F., A. C. Bathke, S. W. Harrar, and M. Pauly. 2015. Parametric and nonparametric bootstrap methods for general MANOVA. Journal of Multivariate Analysis 140:291–301.
- Olive, D. J. 2004. A resistant estimator of multivariate location and dispersion. Computational Statistics & Data Analysis 46:99–102.
- Olive, D. J. 2013. Asymptotically optimal regression prediction intervals and prediction regions for multivariate data. International Journal of Statistics and Probability 2:90–100.
- Olive, D. J. 2016. Bootstrapping hypothesis tests and confidence regions. Unpublished Manuscript with the bootstrap material from Olive (2017b). http://lagrange.math.siu.edu/Olive/ppvselboot.pdf.
- Olive, D. J. 2017a. Applications of hyperellipsoidal prediction regions. Statistical Papers. To appear.
- Olive, D. J. 2017b. Robust multivariate analysis. New York: Springer. To appear.
- Olive, D. J., and D. M. Hawkins. 2010. Robust multivariate location and dispersion. Unpublished Manuscript. http://lagrange.math.siu.edu/Olive/pphbmld.pdf.
- R Core Team. 2016. R: A Language and Environment for Statistical Computing. Vienna: R Foundation for Statistical Computing. www.R-project.org.
- Todorov, V., and P. Filzmoser. 2010. Robust statistics for the one-way MANOVA. Computational Statistics & Data Analysis 54:37–48.
- Van Aelst, S., and G. Willems. 2011. Robust and efficient one-way MANOVA tests. Journal of the American Statistical Association 106:706–18.
- Wilcox, R. R. 1995. Simulation results on solutions to the multivariate “Behrens-Fisher” problem via trimmed means. The Statistician 44:213–25.
- Willems, G., G. Pison, P. J. Rousseeuw, and S. Van Aelst. 2002. A robust “Hotelling” test. Metrika 55:125–38.
- Zhang, J., D. J. Olive, and P. Ye. 2012. Robust covariance matrix estimation with canonical correlation analysis. International Journal of Statistics and Probability 1:119–36.