A NON-PARAMETRIC METHOD TO TEST EQUALITY OF INTERMEDIATE LATENT ROOTS OF TWO POPULATIONS IN A PRINCIPAL COMPONENT ANALYSIS
A NON-PARAMETRIC METHOD TO TEST EQUALITY OF INTERMEDIATE LATENT ROOTS OF TWO POPULATIONS IN A PRINCIPAL COMPONENT ANALYSIS
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主成分分析中两个总体中间潜根相等性检验的非参数方法
DOI：
10.14490/jjss1995.28.227
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
K. Ushizawa
中科院分区：
文献类型：
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作者：
T. Sugiyama;K. Ushizawa
在第2节中，我们提出了一个非参数准则来检验两个总体的第j大根相等的假设。这个检验过程是分布自由的，在第3节和第4节中，我们表明，在多元正态分布下，当样本量增加，总体潜根分离时，它是可靠的。我们建议哪些样本量是必要的，以依赖上述测试。
We propose a nonparametric criterion to test the hypothesis that the j-th largest roots of two populations are equal, in Section 2. This testing procedure is distribution free, and in Section 3 and 4 we show that it is reliable when the sample sizes increase and the population latent roots are separate, under the multivariate normal distribution. We suggest which sample sizes are necessary to rely on the above test.