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Partial variance

In section 3, we split the vector B into two uncorrelated components, as

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We further decompose tex2html_wrap_inline4442 , and write

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The three components on the right hand side of the above equation are mutually uncorrelated. We may partition tex2html_wrap_inline3856 , the `unresolved variation' from the adjustment by D, as

equation945

The second term is the adjusted variance matrix of B by tex2html_wrap_inline4464 , and the first is the (partial) resolved variance matrix of B by F given D, namely

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Resolved variances are additive in the sense that

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For any tex2html_wrap_inline4476 , we assess the further reduction in `residual variation' from adding F, given D, as the (partial) resolution, namely

equation967



David Wooff
Thu Oct 15 11:56:54 BST 1998