Alternative Equation Formats
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\begin{align*} n^\star _1 & = \mbox{number of observations at first class level} \\ n^\star _2 & = \mbox{number of observations at second class level} \\ y_{1i} & = \mbox{value of }i\mbox{th observation at first class level,} \; \; i \in \{ 1, \ldots , n^\star _1\} \\ y_{2i} & = \mbox{value of }i\mbox{th observation at second class level,} \; \; i \in \{ 1, \ldots , n^\star _2\} \\ f_{1i} & = \mbox{frequency of }i\mbox{th observation at first class level,} \; \; i \in \{ 1, \ldots , n^\star _1\} \\ f_{2i} & = \mbox{frequency of }i\mbox{th observation at second class level,} \; \; i \in \{ 1, \ldots , n^\star _2\} \\ w_{1i} & = \mbox{weight of }i\mbox{th observation at first class level,} \; \; i \in \{ 1, \ldots , n^\star _1\} \\ w_{2i} & = \mbox{weight of }i\mbox{th observation at second class level,} \; \; i \in \{ 1, \ldots , n^\star _2\} \\ n_1 & = \mbox{sample size for first class level} = \sum _ i^{n^\star _1} f_{1i} \\ n_2 & = \mbox{sample size for second class level} = \sum _ i^{n^\star _2} f_{2i} \end{align*}
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