Discrimination in the case of zero mean differences
Discrimination in the case of zero mean differences
复制标题
均值差为零的情况下的歧视
DOI：
10.1093/biomet/50.1-2.17
复制
发表时间：
1963
期刊：
影响因子：
2.7
通讯作者：
N. W. Please
中科院分区：
文献类型：
--
作者：
M. Bartlett;N. W. Please
并且p2（x）是第二组的概率的相同比例。在具有相同方差-协方差矩阵的多变量正态总体的情况下，该准则等价于线性判别函数，但如果离差矩阵不同，则判别函数变为二阶（Smith，1946-47）。如果两组之间的平均差异都为零，那么在正常的等离差情况下当然不可能有区别，但是在不等离差情况下，这种特殊情况值得研究，因为在实践中有时会出现这种情况，下面将通过一个例子来说明。
and p2(x) the same proportion of the probability for the second group. In the case of multivariate normal populations with the same variance-covariance matrix, this criterion is equivalent to the linear discriminant function, but the discriminating function becomes of the second degree if the dispersion matrices differ (Smith, 1946-47). If the mean differences between two groups are all zero, no discrimination is of course possible in the normal case with equal dispersion, but it is worth examining this special situation in the case of unequal dispersions, as it may sometimes arise in practice, as will be shown below by an example.