For an (n times m) array of real numbers, show that the four quadratic forms, (m n

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For an $n \times m$ array of real numbers, show that the four quadratic forms, $m n \bar{Y}_{. .}^{2}$,

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are invariant with respect to row and column permutations. Here, $Y_{i \text {. }}$ is the $i$ th row total, and $\bar{Y}_{i}$. is the row average.

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Ten Projects In Applied Statistics

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Authors: Peter McCullagh

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For an (n times m) array of real numbers, show that the four quadratic forms, (m n

Question:

Row ss : m (; 1.2; Col ss : , - 1); n r Resid ss : (Yir Y Y + Y), -

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The image youve provided shows three quadratic forms each representing a type of sum of squares SS usually used in the context of Analysis of Variance ...View the full answer

Ten Projects In Applied Statistics

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