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Article

Testing for main fixed effects: The symmetry assumption and monotone incomplete data

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Pages 2848-2856 | Received 27 Aug 2020, Accepted 17 Nov 2022, Published online: 26 Nov 2022

References

  • Anderson, T. W, and I. Olkin. 1985. Maximum-likelihood estimation of the parameters of a multivariate normal distribution. Linear Algebra and Its Applications 70:147–71. doi:10.1016/0024-3795(85)90049-7.
  • Chang, W.-Y, and D. S. P. Richards. 2009. Finite-sample inference with monotone incomplete multivariate normal data I. Journal of Multivariate Analysis 100 (9):1883–99. doi:10.1016/j.jmva.2009.05.003.
  • Fujikoshi, Y., V. V. Ulyanov, and R. Shimizu. 2010. Multivariate Statistics High-Dimensional and Large-Sample Approximations. John Wiley, New Jersey.
  • Gaugler, T, and M. G. Akritas. 2012. Mixed effects design: The symmetry assumption and missing data. Journal of the American Statistical Association 107 (499):1230–8. doi:10.1080/01621459.2012.712419.
  • Kanda, T, and Y. Fujikoshi. 1998. Some basic properties of MLE’s for a multivariate normal distribution with monotone missing data. American Journal of Mathematical and Management Sciences 18 (1-2):161–92. doi:10.1080/01966324.1998.10737458.
  • Kawasaki, T., N. Shutoh, and T. Seo. 2018. On the asymptotic distribution of T2-type statistic with two-step monotone missing data. Journal of Statistical Theory and Practice 12 (3):657–68. doi:10.1080/15598608.2018.1450795.
  • Scheffé, H. 1959. The analysis of variance. New York, Wiley.

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