Range restrictions for product-moment correlation matrices

Range restrictions for product-moment correlation matrices
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乘积矩相关矩阵的范围限制

DOI:
10.1007/bf02293804
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发表时间:
1981
期刊:
影响因子:
3
通讯作者:
I. Olkin
I. Olkin
中科院分区:
心理学4区
文献类型:
--
作者:
I. Olkin

文献摘要

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众所周知,对于三变量分布,如果两个相关性固定,则剩余的一个相关性受到约束。事实上,如果一个相关性是固定的,那么剩下的两个是受约束的。这两个结果都被推广到多元分布的情况。结果被应用到一些特殊的模式矩阵。
It is well-known that for a trivariate distribution if two correlations are fixed the remaining one is constrained. Indeed, if one correlation is fixed, then the remaining two are constrained. Both results are extended to the case of a multivariate distribution. The results are applied to some special patterned matrices.