Alternative Equation Formats

$${\displaystyle \begin{array}{lcl}{v}_i& =& \frac{r_i-<!--\; -\; -->\frac{3}{8}}{n+\frac{1}{4}}\\ {\mathrm{\Phi <!--\; \Phi \; -->}}^{-<!--\; -\; -->1}(\cdot <!--\; \cdot \; -->)& =& \text{inverse of the standard normal distribution function}\\ r_i& =& \text{rank of the }i\text{th data value when ordered from smallest to largest}\\ n& =& \text{number of nonmissing observations}\end{array}}$$

$${\displaystyle \begin{array}{lcl}{v}_i& =& \frac{r_i-<!--\; -\; -->\frac{3}{8}}{n+\frac{1}{4}}\\ {\mathrm{\Phi <!--\; \Phi \; -->}}^{-<!--\; -\; -->1}(\cdot <!--\; \cdot \; -->)& =& \text{inverse of the standard normal distribution function}\\ r_i& =& \text{rank of the }i\text{th data value when ordered from smallest to largest}\\ n& =& \text{number of nonmissing observations}\end{array}}$$

\[ \begin{array}{lcl} v_ i & = & \frac{r_ i -\frac{3}{8}}{n+\frac{1}{4}} \\ \Phi ^{-1}(\cdot ) & = & \mbox{inverse of the standard normal distribution function} \\ r_ i & = & \mbox{rank of the }i\mbox{th data value when ordered from smallest to largest} \\ n & = & \mbox{number of nonmissing observations} \\ \end{array} \]