Journal of the Japanese Society of Computational Statistics
Online ISSN : 1881-1337
Print ISSN : 0915-2350
ISSN-L : 0915-2350
A STATISTIC FOR TESTING THE EQUALITY OF EIGENVALUE OF COVARIANCE MATRIX ON MULTIPOPULATION
Hidetoshi MurakamiShin-ichi TsukadaYuichi Takeda
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ジャーナル フリー

2008 年 21 巻 1 号 p. 21-30

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抄録
A test statistic for the equality of the j-th largest eigenvalues of the covariance matrix in a multipopulation is proposed. Asymptotic distribution of the statistic is derived under the normal population when the sample sizes are equal. By simulation studies, we investigate the power of a test using the suggested statistic for normal, contaminated normal and skew normal populations, and compare it with two nonparametric tests.
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© The Japanese Society of Computational Statistics
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