Show that the cross-product terms formed from (i· ··), (·j ··), and (ij i· ·j + X··)

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Show that the cross-product terms formed from (i· ˆ’ ··), (·j ˆ’ ··), and (ij ˆ’ i· ˆ’ ·j + X··) sum to zero, i = 1, 2, . . . a and j = 1, 2, . . . , b. For example, write
Show that the cross-product terms formed from (i· ˆ’ ··),

And sum each term in the inner summation, as grouped here, to get zero.

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Probability and Statistical Inference

ISBN: 978-0321923271

9th edition

Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

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