Alternative Equation Formats

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MathML

\begin{aligned} f (β, γ_{i}, x_{i j}) = & \frac{β_{1} + γ_{i 1}}{1 + \exp [- (x_{i j} - β_{2}) / (β_{3} + γ_{i 2})]} \\ Y_{i j} = & f (β, γ_{i}, x_{i j}) + ϵ_{i j} \\ [\begin{matrix} γ_{i 1} \\ γ_{i 2} \end{matrix}] \sim & N ([\begin{matrix} 0 \\ 0 \end{matrix}], [\begin{array}{cc} σ_{1}^{2} & σ_{12} \\ σ_{21} & σ_{2}^{2} \end{array}]) \\ Y_{i j} | γ_{i 1}, γ_{i 2} \sim & N (0, σ_{ϵ}^{2}) \end{aligned}

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Math as LaTeX Source

\begin{align*} f(\bbeta ,\bgamma _ i,x_{ij}) =& \frac{\beta _1 + \gamma _{i1}}{1 + \exp [-(x_{ij} - \beta _2)/ (\beta _3 + \gamma _{i2})]} \\[0.1in] Y_{ij} =& f(\bbeta ,\bgamma _ i,x_{ij}) + \epsilon _{ij} \\[0.1in] \left[\begin{array}{c}\gamma _{i1}\cr \gamma _{i2}\end{array}\right] \sim & N\left( \left[\begin{array}{c}0\cr 0\end{array}\right], \left[\begin{array}{cc} \sigma ^2_1 & \sigma _{12} \cr \sigma _{21} & \sigma ^2_2 \end{array}\right] \right) \\[0.1in] Y_{ij}|\gamma _{i1},\gamma _{i2} \sim & N(0,\sigma ^2_\epsilon ) \end{align*}