# Questions tagged [multinomial-logit]

Multinomial logistic regression models a categorical dependent variable that can take on >2 different levels.

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### Converting a multinomial logit model into a binary logit model

As far as I remember, it is possible to convert a multinomial logit model into a binary logit model using restrictions on parameters. For example, suppose we have three alternatives, say A, B, and C. ...
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### Multinomial logistic regression - controlling family-wise error for pairwise comparisons?

I am using a multinomial logistic regression of one nominal variable with many categories against a number of independent variables. I would like to test for differences between the coefficients for ...
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### What kind of regression for predicting limited resource allocation across items

I have data where people are given a limited number of tokens (1 - 10) which they can assign across five different items. The number of tokens they allocate to an item represents the importance of ...
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### How to model a continuous outcome given two different instances of selection on being observed?

I am looking at a sample of individuals changing their place of residence between 2 time points, and want to look at the effect of different variables (sex, age, etc) on a continuous property of the ...
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### Is multinomial logistic regression symmetric?

Simple linear regression is symmetric in the sense that, if I regress $Y$ on $X$ or $X$ on $Y$, I get the same $R^2$ and result from the overall $F$-test. ...
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### Plotting probabilities from multinomial regression output

I generated some data to visualize a multinomial logistic regression, where individuals choose a mode of transportation based on their income. I then set up a regression and predicted the ...
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### Mixed logit and predicted shares

In Train 2009, pg. 323, he writes: ... maximum likelihood estimation of a standard logit model with alternative specific constants for each product in each market necessarily gives predicted shares ...
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### interpreting multinomial logistics regression coefficients into odds

I am using sklearn logistic regression to predict age (numeric) vs gender (male, female, non-binary) - the below are intercept [ 18.5455613 -1.83610814 -14.10055903] these are the coefficients of ...
37 views

### Multinomial logit: why likelihood for one observation uses probabilities of all classes?

When dealing with non-binary discrete-choice outcomes, one common way of modeling such problems as a function of some covariates is through a multinomial logit/logistic model, in which there is one ...
1 vote
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### How to identify individuals that don't belong to a trairning class?

The frequency of 8 cell types is measured in 100 patients (the frequencies do not sum up to 1). The patients form 4 pathologies established by the physicians. As there might be better markers (cell ...
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1 vote
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### Multinomial/Categorical models with a variable number of outcomes

Is it possible to implement a multinomial/categorical model where the number of categories itself is variable? For example, say I have two surveys with the following questions/responses: What ice ...
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### Replicated experiment with categorical response and predictor

A set of experiments is performed under n conditions, with each experiment resulting in a series of events classified in k categories (k<10). Each condition is independently repeated m times. ...
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### How to run a multinomial logistic regression with mixed effects in R?

I'm trying to run a multinomial logistic regression with mixed effects. Let's say I have the following variables: Participant (ten participants, each with 10 observations) Word (ten different words, ... 51 views

### How should I impute a 100% missing element of a composite variable?

I want to model the variable $Y$ (score 1 to 10) that is a composite of 5 ordinal variables $Y_{a:e}$ with the same levels (0 = "not at all", 1 = "a little bit", 2="a lot"...
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### What does mean some eigenvalues of the Hessian are positive? How to fix it?

I prepared a research design with the discrete choice method. I have 2 labeled alternatives, 5 attributes for an alternative, and 6 attributes for an alternative. I want to analyze my data with ...
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### What is the prior distribution in a multinomial logistic regression (UPG package in R, Bayesian statistics)? [closed]

In my thesis I want to compare the frequentist and bayesian approach, specifically in doing a multinomial logistic regression. I have had only a few lectures on Bayesian statistics during my bachelors,...
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### Hessian/Standard error of a multinomial logistic model with a very large (142k x 7) dimensionality

I was wondering if there was a way to streamline the approach of calculating the standard error/Hessian of a model matrix with dimensionality 142208 x 7. (That is, 142208 observations, across 7 ...
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### Multinominal logistic regression Zero frequencies warning

I am analyzing multiple-choice responses, using multinominal logistic regression. I aim to understand how continuous predictors may influence the probability of being selected for each of the four ...
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### Sample size calculation for a unordered categorical (nominal) outcome in a cluster randomised trial

If a trial has a nominal categorical outcome (unordered categories, 4 categories overall, say A,B,C,D) and the planned trial is cluster randomised with 2 levels (lvl 1 - pupil, lvl 2 -school). The ...
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### Multinomial logit with time-varying alternative-specific constants

I observe some individuals (labeled id) that have made a choice from a set (the alternative variable is alt). The choice set ...
86 views

### Survival: treat censoring as a competing risk and use multinomial logit

Suppose I am modeling survival with the hazard rate specified using logistic regression, and the model is adequate for the data. Now add censoring, and the model formulation becomes a bit more ...
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1 vote
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### Multinomial logistic regression or ANOVA to predict percentage?

I have several categorical predictors: experimental_group [A,B] # medicated/not factor1 [i,j] # task conditions factor2 [x,y] # task conditions And I need to predict: percentage of choices of 4 ...
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### How to interpret mlogit output with confounded dummy variables and opt-out?

I am using mlogit to analyze discrete choice data from a pilot study with a multinomial logit model. My DCE design has two unlabelled cycling route alternatives, and an opt-out. Independent variables ...
1 vote
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### Multinomial logit regression vs logit regressions

I wanted to know what is the difference between running a multinomial logit regression and a logit regression on a model in which the dependent variable is a dummy with just two levels. My database ...
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### Nested Logit : correlation between alternatives

The nested logit model is obtained by assuming that the vector of unobserved utility $\varepsilon_n=\left\langle\varepsilon_{n 1}, \ldots, \varepsilon_{n J}\right\rangle$ for decision maker $n$ has ...
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### Modelling probabilities for each potential outcome of a multinomial outcome "conditional" on binary sample selection

Context: Marketing campaign; promotion of a specific product family composed of $k$ sub-products. I need to provide estimates for (A) the probability of purchase of specific type of product by the ...
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### Single model combining prediction and latent-class analysis

I have a set of survey questions about covid-related beliefs and behaviors (e.g., do you believe covid vaccine is effective, have you avoided crowded events...) and general demographics. My goal is to ...
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### How to simulate artifical data for multinomial regression? [duplicate]

I want to use some predictors (for example, $x_1$ and $x_2$ below) to simulate the multinomial outcome (for example, with 3 levels). Below are the codes I found in another question regarding ...
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### Multinomial logistic regression for categorical data versus GLMER with proportional data?

I am struggling with my results and am questioning my choice of statistical method (multinomial logistic regression for categorial response variables or using glmer with proportions). I ran ...
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### Advice on logistic / multinomial regression regarding death as competing risk

Suppose we want to estimate the effect of a previous exposure on the probability of a disease in a pre-specified study population of patients admitted to hospital. The disease can sometimes be cause ...
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### Analysis of proportions in repeated experiments

What would be the best solutions to analyse proportions of multiple classes. The classes are mutually exclusive, with each observation falling into one of the classes (i.e. no other class is possible) ...
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### What does scale heterogeneity mean in the generalized multinomial logit models?

I have learned that one property of multinomial logit models or the data used to build these models is scale heterogeneity. What does Scale Heterogeneity mean in the sphere of multinomial logit models?...
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### How scale heterogeneity can be a source of correlation?

First off, I'd like to put this clearly that I am new to logit models and I am trying to learn their basics. So far, I have understood that in the sphere of multinomial logit models and MXL, there are ...
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### Categorical model divergences/high parameter density near zero in Stan

I'm working on a hierarchical categorical/multinomial logit model in Stan. I thought I'd expand my question to stack exchange to see if anyone has any suggestions on the statistical model, since it's ...
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### Multinomial models with different expected probabilities?

As an example let’s say we were picking different colour balls out of a bag at random, and we wanted to see if certain colours are picked more than others. Our response would be "colour ball ...
1 vote
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### NNET Multinomial Regression - Error in looping through multiple independent variables and extracting coefficients/std.errors

I have a scenario in which I'm using multinom (from NNET package) to perform multinomial regression over a set of 100+ genes (a given gene is an independent variable in each multinomial regression). I ...
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### Regression for 3 levels dependent variable

While reviewing a paper, I came across the following problem: the authors tested two groups, let's call them A and B, in two different experimental conditions, X and Y. The outcome variable had three ...
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1 vote
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### How to handle independent variable in regression where no relationship exists between samples

I would like to use a multinomial logistic regression to get win probabilities for each of the 5 horses that participate in any given race using each horses previous average speed. ...
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### Is there a statistical software package for the generalized conditional/multinomial logit model?

I have a discrete choice model of moving from one state to the other, so alternatives=states. I have case-specific variables such as income, race, and gender. In addition, I have moving distance ...
28 views

### How can I estimate the variance of the error terms in a conditional/multinomial logit model?

Conditional/multinomial logit models(CML) can be esimated by the Maximum Likelihood Estimation(MLE). The likelihood would consists of choice probabilities: \begin{equation} P_{ij}=\frac{e^{V_{ij}}}...
1 vote
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### Household vehicle ownership allocation based on vehicle sales data

I have a household travel survey data, which consisted of the number of vehicle owned for each of the household, household income, job, and household size. However, the data didn't show the brand, ...
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### Interpreting Results of Logistic Regression when both x, y variables are nominal

I've been trying to analyze the result from my experiment. But since I'm new to the field of statistics, I'm struggling in every step, including the interpretation of results. I have 4 groups of ...
140 views

### Interpretation of Multinominal Logistic Regression coefficients

I am struggling to understand my Multinominal Logistic Regression. This is my first time ever tackling such a model. Note that I was following this recipe. I am trying to predict the redemption rate (...
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### Categorical independent variables for logistic regression

I'm currently struggling to find a appropriate method to analyze my experiment. Currently, I have 4 groups of subjects, and each subjects made a choice between 3 options(A or B or No choice). Below ...
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### mlogit and MCMCglmm in R

I would like to ask your advice on the statistical approach for my research. My research is to investigate the relation between formant frequencies of phonemes (three vowels, /a/, /i/, /o/) and ...
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### Choice Based Conjoint 'no-choice' MNL model validation

I have conducted a CBC with each choice task consisting of 2 concepts and a no-choice option. For training my MNL model, I added a column to the dataset that takes the value one (for both concepts) ...
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