Explain the following equation: (Yij My) = (Yij Mi) + (Mi My) What do

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Explain the following equation: (Yij – My) = (Yij – Mi) + (Mi – My)
What do we gain by breaking the (Yij – My) term into two separate components, and what do each of these components represent? Which of the terms on the right hand side of the equation do researchers typically hope will be large, and why?
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