In: Statistics and Probability
what is Binomial logit model
What Is the Binomial Logit?
plz explain these two seprately
Q. What is Binomial logit model.
Ans.- The logit model, better known as Logistic Regression is a binomial regression model. Logit Model is used to associate with a vector of random variables to a binomial random variable. The logit model is a special case of a generalized linear model. It is widely used in machine learning.
Used:- The Binomial logit model uses something called the cumulative distribution function of the logistic distribution.
Explanation of Binomial Logit Model
We denote Y as the variable to predict and X=(x1, x2, ....., xn) as predictive variables. In the context of the binomial logit model, the variable Y takes two possible modalities {1,0} the variables xj are exclusively continuous or binary.
P(Y=1) denotes the probability that the variable Y takes the value 1. Similarly, we can define P(Y=0) as the probability that the variable Y takes the value 0. P(X|1) is the conditional distribution of X knowing the value taken by Y. Similarly, P(X|0) is defined.
The posterior probability of obtaining the modality 1 of Y knowing the value taken by X is noted P(1|X). Similarly, P(0|X) is defined.
Q. What is the Binomial Logit?
Ans:- A binomial logit predicts the probability that an observation falls into one of two categories of a dichotomous dependent variable based on one or more independent variables that can be either continuous or categorical. In statistics, the Binomial Logit is used to model the probability of a certain class or event existing such as pass/fail, win/lose. This can be extended to model several classes of events such as determining whether an image contains a cat, dog, lion, etc.