PRINCIPAL COMPONENT ANALYSIS OF 3-MODE DATA BY MEANS OF ALTERNATING LEAST-SQUARES ALGORITHMS

PRINCIPAL COMPONENT ANALYSIS OF 3-MODE DATA BY MEANS OF ALTERNATING LEAST-SQUARES ALGORITHMS
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DOI:
10.1007/bf02293599
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发表时间:
1980-01-01
期刊:
影响因子:
3
通讯作者:
DELEEUW, J
DELEEUW, J
中科院分区:
心理学4区
文献类型:
--
作者:
KROONENBERG, PM;DELEEUW, J

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讨论了Tucker三模主元模型参数估计的一种新方法,并讨论了交替最小二乘算法求解该估计问题的收敛性。一个特殊的情况下,一般塔克模型,其中的主成分分析只进行了两个三种模式的简要概述。米勒和尼斯利的数据混淆英语辅音被用来说明程序TUCKALS 3和TUCKALS 2,其中包括算法的两个模型描述。
A new method to estimate the parameters of Tucker’s three-mode principal component model is discussed, and the convergence properties of the alternating least squares algorithm to solve the estimation problem are considered. A special case of the general Tucker model, in which the principal component analysis is only performed over two of the three modes is briefly outlined as well. The Miller & Nicely data on the confusion of English consonants are used to illustrate the programs TUCKALS3 and TUCKALS2 which incorporate the algorithms for the two models described.