Revision as of 14:48, 14 July 2022 edit CaeSoMa (talk \| contribs) 7 edits →As a set of independent binary regressions ← Previous edit		Revision as of 14:51, 14 July 2022 edit undo CaeSoMa (talk \| contribs) 7 edits m →As a log-linear model Tag: Reverted Next edit →
Line 217: :<math> \begin{align} \Pr(Y_i=1) &= \frac{e^{\boldsymbol\beta'_1 \cdot \mathbf{X}_i}}{1 + \sum_{kj=1, j\neq 1}^{K-1} e^{\boldsymbol\beta'_k_j \cdot \mathbf{X}_i}} \, \\ \cdots & \cdots \\ \Pr(Y_i=K-1) &= \frac{e^{\boldsymbol\beta'_{K-1} \cdot \mathbf{X}_i}}{1 + \sum_{kj=1, j\neq K-1}^{K-1} e^{\boldsymbol\beta'_k_j \cdot \mathbf{X}_i}} \, \\ \Pr(Y_i=K) &= \frac{1}{1 + \sum_{kj=1, j\neq K}^{K-1} e^{\boldsymbol\beta'_k_j \cdot \mathbf{X}_i}} \, \\ \end{align} </math>

Multinomial logistic regression: Difference between revisions