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is an unbiased estimate of .

is an unbiased estimate of . Consider the following data matrix. Note that To obtain the mean squared deviation of each observation in the data matrix about the grand mean of all observations, we may proceed as follows:

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is an unbiased estimate of .

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  1. is an unbiased estimate of . • Consider the following data matrix. • Note that • To obtain the mean squared deviation of each observation in the data matrix • about the grand mean of all observations, we may proceed as follows: • As N approaches infinity the distribution of all N observations in the data • matrix approaches the distribution of the population from which each • was sampled. Observation 1 2 ….. i …… n ……….M 1 X11 X21 Xi1 Xn1 M.1 2 X12 X22 Xi2 Xn2 M.2 . . . . . . . . j X1j X2j Xij Xnj M.j . . . . . . . . N X1N X2N XiN XnN M.N Sample

  2. continued

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