A high-dimensional test for the equality of the smallest eigenvalues of a covariance matrix
Journal of Multivariate Analysis
Some high-dimensional tests for a one-way MANOVA
Journal of Multivariate Analysis
Testing the equality of several covariance matrices with fewer observations than the dimension
Journal of Multivariate Analysis
A new test for sphericity of the covariance matrix for high dimensional data
Journal of Multivariate Analysis
Heteroscedastic linear feature extraction based on sufficiency conditions
Pattern Recognition
A high-dimensional two-sample test for the mean using random subspaces
Computational Statistics & Data Analysis
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A simple statistic is proposed for testing the equality of the covariance matrices of several multivariate normal populations. The asymptotic null distribution of this statistic, as both the sample sizes and the number of variables go to infinity, is shown to be normal. Consequently, this test can be used when the number of variables is not small relative to the sample sizes and, in particular, even when the number of variables exceeds the sample sizes. The finite sample size performance of the normal approximation for this method is evaluated in a simulation study.