Questions tagged [multinomial-probit]

The multinomial probit is an extension of the probit regression. The dependent variable can take on 3 or more unordered values. The modell does not have to fulfill the IIA Assumption.

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Ordered probit / multinomial probit models, marginal effects difference

I'm working with National Longitudinal Survey of Youth (NLSY79 and NLSY97), which include two datasets, with the same variables, about students surveyed in 1979 and 1997. I created as output a ...
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How to transform the covariance matrix for a GHK simulator?

I've used an MCMC Gibbs sampler to estimate parameters of the Multinomial Probit Model. In doing so, I've differenced all utilities with respect to the last alternative, such that I obtained (J-1) ...
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Obtaining posterior outcome probabilities Multinomial Probit given posterior parameter estimates

I'm trying to compute the individual posterior probabilities from my estimated multinomial probit model. I have obtained the latent utilities as well as the posterior parameters for beta and sigma for ...
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Training full covariance multinomial probit model with gradient descent method?

I'm recently new to the Multinomial Probit model. I'm interested in how to train the parameters of the Latent variable Multinomial Probit model using gradient method from https://en.wikipedia.org/wiki/...
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Identification in the multinomial probit model

It is said that for identification we need to set one of the betas to 0 in the multinomial probit model. The identification problem is described in a book as follows. We start with the utilities where ...
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1k views

Conditional Logistic Regression in R

As my first question addressing this matter was incomplete and unclear, I made another attempt with an improved outline. I am currently working on a project in which I have a data-set of the following ...
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96 views

Predicted Probabilities in Multinomial Probit Model

I am trying to compute predicted probabilities from a multinomial probit model. Researching the internet has given me two ways how this can be done. The first one is basically just applying the ...
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558 views

Poisson or Multinomial Logistic Regression (or something else)?

There seems to be a lot of discussion about this on CV but none quite answer my question. I have a variable y which represents number of adverse events occurring ...
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280 views

Estimation of Demand and Substitution in Case of Multinomial Logit Model

In MNL model, given the different alternative choices, we estimate the probability of choice across different options. E.g. using the fishing data, we can use the following calculations to estimate ...
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157 views

What is an intuitive way to understand an ROC curve for a multinomial classifier?

When drawing an ROC curve for a binary classifier, we vary, say the probability threshold of one class vs the other and get the curve. However I'm confused what this means in a multinomial case where ...
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847 views

How to use multinomial probit coefficients to predict?

I fitted a multinomial probit model with one independent categorical variable Y (levels 1,2,3) and two explanatory variables X1 and X2. Using mlogit package in R like this: ...
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215 views

Multivariate multinomial probit

I would like to jointly estimate 4 variables. Two of them are categorical and the two others are binary. So I thought about a "multivariate multinomial probit model", but did not find much. What ...
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Is a win-lose model for three Presidential primary candidates appropriate? Multinomial Logit model?

I have a dataset where each record represents a collection of variables for each of the counties in New York. Five variables represent the number of tweets in that geographic area for each candidate ...
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Discrete choice models; estimating probability of new alternatives

Let's say the set of alternatives are $j=1,2,...J$, where $X_i$ is the vector of subject-specific attributes for subject $i$, and $Z_{ij}$ is the vector of alternative-specific attributes for ...
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Deciding between Probit and Multi-nominal Probit if one of three categories is very unlikely? Proving randomness of that category?

I have a choice variable, which is either A or B or C. But apparently C is hardly chosen. And for me it seems like it more "happens to be chosen". I want to estimate which some continuous covariates, ...
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Solution verification - calculation of second derivatives of multinomial probit log-likelihood function

The initial function of log-likelihood of multinomial probit model with $J$ alternatives: $ ln \ell=\sum_{i=1}^N\sum_{j=1}^{J-1} y_{ij} \cdot ln \Phi(\sum_{k=1}^Kx_{ik}\beta_{kj})+ ({n_i-\sum_{j=1}^{...
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Difference between multinomial logit and multinomial probit

Similarly to the question Difference between logit and probit models I am wondering what is the difference between a multinomial logit and a multinomial probit. And when should I apply which of the ...