Alternative Equation Formats

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MathML

\begin{array}{rcl} \hat{V_{h}} ({\hat{R}}^{(P S)}) & = & \frac{n_{h} (1 - f_{h})}{n_{h} - 1} \sum_{i = 1}^{n_{h}} (g_{h i \cdot} - {\bar{g}}_{h \cdot \cdot})^{2} \\ g_{h i \cdot} & = & \frac{\sum_{j = 1}^{m_{h i}} {\tilde{w}}_{h i j} ({\tilde{y}}_{h i j} - {\tilde{x}}_{h i j} {\hat{R}}^{(P S)})}{\sum_{h = 1}^{H} \sum_{i = 1}^{n_{h}} \sum_{j = 1}^{m_{h i}} {\tilde{w}}_{h i j} x_{h i j}} \\ {\bar{g}}_{h \cdot \cdot} & = & (\sum_{i = 1}^{n_{h}} g_{h i \cdot}) / n_{h} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \hat{V_ h}(\hat{R}^{(PS)}) & =& \frac{n_ h(1-f_ h)}{n_ h-1} ~ \sum _{i=1}^{n_ h} {(g_{hi\cdot }-\bar{g}_{h\cdot \cdot })^2}\\ g_{hi\cdot }& =& \frac{\sum _{j=1}^{m_{hi}}\tilde{w}_{hij}~ (\tilde{y}_{hij}- \tilde{x}_{hij}\hat{R}^{(PS)}) }{\sum _{h=1}^ H\sum _{i=1}^{n_ h} \sum _{j=1}^{m_{hi}} ~ \tilde{w}_{hij} ~ x_{hij}}\\ \bar{g}_{h\cdot \cdot } & =& \left( \sum _{i=1}^{n_ h}g_{hi\cdot } \right) / ~ n_ h \end{eqnarray*}