Alternative Equation Formats

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

MathML

\begin{array}{rcl} y_{1 i}^{*} & = & α_{1} y_{21 i} + α_{2} y_{22 i} + β_{1} z_{1 i} + β_{2} z_{2 i} + u_{i} \\ y_{21 i}^{*} & = & π_{11} z_{1 i} + π_{12} z_{2 i} + π_{13} z_{3 i} + π_{14} z_{4 i} + ϵ_{1 i} \\ y_{22 i}^{*} & = & π_{21} z_{1 i} + π_{22} z_{2 i} + π_{23} z_{3 i} + π_{24} z_{4 i} + ϵ_{2 i} \\ y_{1 i} & = & {\begin{cases} y_{1 i}^{*} & i f y_{1 i}^{*} > 0 \\ 0 & i f y_{1 i}^{*} \leq 0 \end{cases} \\ y_{21 i} & = & {\begin{cases} 1 & i f y_{21 i}^{*} > 0 \\ 0 & i f y_{21 i}^{*} \leq 0 \end{cases} \\ y_{22 i} & = & y_{22 i}^{*} \end{array}

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} y_{1i}^* & = & \alpha _{1} y_{21i} + \alpha _{2} y_{22i} + \beta _{1}z_{1i} + \beta _{2}z_{2i} + u_{i} \\ y_{21i}^* & = & \pi _{11}z_{1i} + \pi _{12}z_{2i} + \pi _{13}z_{3i} + \pi _{14}z_{4i} + \epsilon _{1i} \\ y_{22i}^* & = & \pi _{21}z_{1i} + \pi _{22}z_{2i} + \pi _{23}z_{3i} + \pi _{24}z_{4i} + \epsilon _{2i} \\ y_{1i} & = & \left\{ \begin{array}{ll} y^{*}_{1i} & \mr{~ if~ } y^{*}_{1i}>0 \\ 0 & \mr{~ if~ } y^{*}_{1i}\leq 0 \\ \end{array} \right. \\ y_{21i} & = & \left\{ \begin{array}{ll} 1 & \mr{~ if~ } y^{*}_{21i}>0 \\ 0 & \mr{~ if~ } y^{*}_{21i}\leq 0 \\ \end{array} \right.\\ y_{22i} & = & y^{*}_{22i} \end{eqnarray*}