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" The sum of the variances of all n principal components is equal to the sum of the variances of the original variables. "
Exploratory Analysis of Metallurgical Process Data with Neural Networks and ... - 80. lappuse
autors: C. Aldrich - 2002 - 386 lapas
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Modern Factor Analysis

Harry H. Harman - 1976 - 487 lapas
...residual variance; and so on until the total variance is analyzed. The sum of the variances of all n principal components is equal to the sum of the variances of the original variables. Since the method is so dependent on the total variance of the original variables,...
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Principal Components Analysis, 69. izdevums

George H. Dunteman - 1989 - 96 lapas
...continue this scenario down to the last or pth principal component. The sum of the variances of the principal components is equal to the sum of the variances of the original variables. That is where X, is the variance of the ith principal component. If the variables...
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Multivariate Statistical Methods: A Primer, Second Edition

Bryan F.J. Manly - 1994 - 232 lapas
...is the variance of Xi and /i is the variance of Z,, this means that the sum of the variances of the principal components is equal to the sum of the variances of the original variables. Therefore, in a sense, the principal components account for all of the variation...
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Recent Advances in Reliability and Quality Engineering

Hoang Pham - 2001 - 344 lapas
...(20) j=i where Var (Zj) are the variances of the principal components. The sum of the variances of the principal components is equal to the sum of the variances of the original variables. That is = ^Var(XO (21) i=i If the Xi variables are standardized (ie, subtracting...
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Economics, Politics and Social Issues in Latin America

Mary P. Lassiter - 2007 - 289 lapas
...accounts for the smallest variance, that is, A} > A2 > ... > Ap . The sum of the variances of the p principal components is equal to the sum of the variances of the original variables. Principal components can also be calculated from the correlation matrix of the...
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