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\[ \begin{array}{lcll} r & = & 1, 2, \ldots , R & \mbox{is the row number, with a total of } R \mbox{ rows} \\[0.08in] c & = & 1, 2, \ldots , C & \mbox{is the column number, with a total of } C \mbox{ columns} \\[0.08in] N_{rc} & & & \mbox{is the population total in row } r \mbox{ and column } c \\[0.08in] N_{r \cdot } & = & \sum _{c=1}^{C} {N_{rc}} & \mbox{is the total in row } r \\[0.08in] N_{\cdot c} & = & \sum _{r=1}^{R} {N_{rc}} & \mbox{is the total in column } c \\[0.08in] N & = & \sum _{r=1}^{R} \sum _{c=1}^{C} {N_{rc}} & \mbox{is the overall total} \end{array} \]
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