Multinomial Logistic Regression Equation. P is ambiguous when there are more than two outcomes. One might think of these as ways of applying multinomial logistic regression when strata or clusters are apparent in the data.
In statistics multinomial logistic regression is a classification method that generalizes logistic regression to multiclass problems i e. Logistic regression is a technique used when the dependent variable is categorical or nominal. To keep track of the different probabilities we will write pr y s for the probability of voting sv.
The relative risk is the right hand side linear equation exponentiated leading to the fact that the exponentiated regression coefficients are relative risk ratios.
Here s a look at the math behind logistic regression. The natural log of the ratio of the two proportions is the same as the logit in standard logistic regression where ln π. 1 exp 1 1 in other words you take each of the m 1 log odds you computed and exponentiate it. P probability of the occurrence of the feature.