Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

V ^ h ( R ^ D ) = n h ( 1 f h ) n h 1   i = 1 n h ( g h i g ¯ h ) 2 g h i = j = 1 m h i v h i j   ( y h i j x h i j R ^ D ) h = 1 H i = 1 n h j = 1 m h i   v h i j   x h i j g ¯ h = ( i = 1 n h g h i ) /   n h

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} {\hat{V}_ h}(\hat{R}_ D) & =& \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}}v_{hij}~ (y_{hij}- x_{hij}\hat{R}_ D) }{\sum _{h=1}^ H\sum _{i=1}^{n_ h} \sum _{j=1}^{m_{hi}} ~ v_{hij} ~ x_{hij}}\\ \bar{g}_{h\cdot \cdot } & =& \left( \sum _{i=1}^{n_ h}g_{hi\cdot } \right) / ~ n_ h \end{eqnarray*}