Results 261 to 270 of about 52,275 (307)
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2020
The main purpose of this chapter is to give a method for obtaining error bounds for asymptotic expansions of the null distributions of Hotelling’s \(T^2\) (or Lawley–Hotelling criterion, \(T_{LH}\)), the likelihood-ratio criterion \(T_{LR}\) and the Bartlett–Nanda–Pillai criterion \(T_{BNP}\) in the MANOVA model when the sample size is large.
Yasunori Fujikoshi, Vladimir V. Ulyanov
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The main purpose of this chapter is to give a method for obtaining error bounds for asymptotic expansions of the null distributions of Hotelling’s \(T^2\) (or Lawley–Hotelling criterion, \(T_{LH}\)), the likelihood-ratio criterion \(T_{LR}\) and the Bartlett–Nanda–Pillai criterion \(T_{BNP}\) in the MANOVA model when the sample size is large.
Yasunori Fujikoshi, Vladimir V. Ulyanov
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On the simultaneous anova and manova tests
Annals of the Institute of Statistical Mathematics, 1965In the present paper, the simultaneous confidence intervals associated with the Simultaneous Multivariate Analysis of Variance (SMANOVA) tests are derived when the hypotheses can be tested in a “quasi-independentrd manner. With respect to the Simultaneous Analysis of Variance (SANOVA) test, the quasi-independence is weakened and the distribution ...
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2013
In this chapter, we introduce three fiducial approaches to heteroscedastic ANOVA and MANOVA. The first approach is that of Li et al. (2011) which was proposed for ANOVA but can be easily generalized to MANOVA. The second approach is that implicit in Behrens (Landw. Jb. 68, 807–837, 1929) paper. The third approach is that implicit in Fisher (Ann. Eugen.
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In this chapter, we introduce three fiducial approaches to heteroscedastic ANOVA and MANOVA. The first approach is that of Li et al. (2011) which was proposed for ANOVA but can be easily generalized to MANOVA. The second approach is that implicit in Behrens (Landw. Jb. 68, 807–837, 1929) paper. The third approach is that implicit in Fisher (Ann. Eugen.
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Regularized MANOVA (rMANOVA) in untargeted metabolomics
Analytica Chimica Acta, 2015Many advanced metabolomics experiments currently lead to data where a large number of response variables were measured while one or several factors were changed. Often the number of response variables vastly exceeds the sample size and well-established techniques such as multivariate analysis of variance (MANOVA) cannot be used to analyze the data ...
Engel, J. +8 more
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2014
This chapter builds on Chapter 6 by considering further techniques for comparing groups. It focuses on analytical methods that concern ANOVA. In this chapter, emphasis is given to reporting different types of ANOVA as this is very common in applied linguistics research.
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This chapter builds on Chapter 6 by considering further techniques for comparing groups. It focuses on analytical methods that concern ANOVA. In this chapter, emphasis is given to reporting different types of ANOVA as this is very common in applied linguistics research.
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Robust statistic for the one-way MANOVA
Computational Statistics & Data Analysis, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Valentin Todorov, Peter Filzmoser
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Regularised Manova for High‐Dimensional Data
Australian & New Zealand Journal of Statistics, 2015SummaryThe traditional and readily available multivariate analysis of variance (MANOVA) tests such as Wilks' Lambda and the Pillai–Bartlett trace start to suffer from low power as the number of variables approaches the sample size. Moreover, when the number of variables exceeds the number of available observations, these statistics are not available ...
Ullah, Insha, Jones, Beatrix
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ESTIMATING A COVARIANCE MATRIX IN MANOVA MODEL
Statistics & Risk Modeling, 2002Summary: For the estimation of the covariance matrix in the framework of multivariate analysis of variance (MANOVA) model, \textit{B.K. Sinha} and \textit{M. Ghosh} [ibid. 5, 201-227 (1987; Zbl 0634.62050)] proposed a Stein type truncated estimator improving on the uniformly minimum variance unbiased (UMVU) estimator under the entropy loss.
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