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In: Statistics and Probability

what is Binomial logit model What Is the Binomial Logit? plz explain these two seprately

what is Binomial logit model

What Is the Binomial Logit?

plz explain these two seprately

Solutions

Expert Solution

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.


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