Questions tagged [multinomial-logit]
Multinomial logistic regression models a categorical dependent variable that can take on >2 different levels.
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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 ...
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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}}}...
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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 ...
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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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Is it possible to implement ANOVA analysis with categorical dependant variable?
I have some survey data which tracks the employment status of individuals over time. I am doing an analysis on the effects of different independant variables on occupation, and one thing I wish to ...
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how do I handle the issue of dependent observations in multinomial logistic regression model
I have recently conducted a study where I built a multinomial logistic regression model to investigate whether keystroke logging analytics (e.g., pause time in writing, general typing rate, revision ...
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Fitting a multinomial glm for a very large dataset
I have compositional data where for two groups, where each is represented by two ages, there are 100 possible categories for which I observed counts:
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How to select data and report a multinomial logistic regression for microbiome
recently I have been working with gut microbiome data, like abundance and its metabolic content (but for purposes of the question this may be indifferent). I'm inexpert in the field of multinomial ...
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Too many categorical predictors in multinomial logistic regression
I am not familiar with multi-class prediction so I apologize in advance if this questions seem very basic.
Here is my dataset: So within the dataset, I am trying to predict which fare product is ...
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Multinomial Logistic Regression as a latent variable model
I was reading the wiki entry for multinomial logistic regression https://en.wikipedia.org/wiki/Multinomial_logistic_regression#As_a_latent-variable_model
and it states that we can view the multinomial ...
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should I use n-1 dummies variables or all variables for a multinomial logistic regression?
Recently I have been working with gut microbiome data, like abundance and its metabolic content (but for purposes of the question this may be indifferent). I'm inexpert in the field of multinomial ...
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Condition logit model: Weighted mean of ratios of coefficients of subgroups does NOT equal the ratios of coefficients of the whole sample, why?
I am well aware that when one splits the sample into subgroups (e.g. sex, country, whatever), and then estimates any logistic regression model, the coefficients are not comparable between (otherwise ...
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Looking for a scientific paper that explains the OneVsRestClassifier from scikit-learn
In my Logistic Regression Model I am using (among others) the OneVsRestClassifier, as the simplest tool to get probabilities for a multiclass problem. I understand how it works and I understand that ...
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Interaction between alternative-specific and individual-specific variables in a conditional logistic regression
I am interested in the moderating effect of a voter's political knowledge on the effect of a voter's candidate evaluations on vote choice. I am trying to estimate conditional logit models to analyze ...
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How does one compute standard errors for coefficients in multinomial logistic regression?
I am currently engaged in a project to try and compute standard errors for coefficients for multinomial logistic regression. I saw answers with code in this post here How to compute the standard ...
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Kernel Multinomial Logistic regression in R
I have a dataset of graphs/networks, and associated labels in R. I have read literature on graph kernels (e.g. Borgwardt et al), and can implement these with the ...
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How can a 'linear models' be used to predict the level of a categorical variable from continuous numerical variables?
I am a 1st year undergraduate psychology student currently doing some statistics exercises following a class. The statistics topics we have currently covered is still basic, including the various ...
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multinomial logistic regression with many IPVs
How should we refer to a logistic model where the dependent variable has more than two categories and you have more than one independent variables? Could it multivariable multinomial logistic ...
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How to estimate population proportions for colored beads in a jar
Suppose I have a jar of colored beads. The jar contains about 15000 of those beads and they come in 10 different colors. I want to know whether there is a a difference between the true population ...
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Testing independence and setting constraint matrices in a multinomial logit model in R
I have a data set the looks like this (called rand_df as this is a random subset from the much larger dataframe):
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Multiple imputation and inverse probability weighting for multiple treatment?
I am analyzing observational study data. My predictor variable is tg4 with 4 categories (0,1,2,3) and my response variable is dm ...
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Reopening the question about conducting a three-step Latent Class Analysis in R
I would like to reopen the question, which was already asked in this post (1) and (2), but due to the peripheral conditions and questions of the questioners, probably did not get the proper attention.
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Using a spatial tensor spline in a nnet:multinom multinomial fit in R
I know that in library(mgcv) one can use spatial tensor spline smooths in gam fits with a cyclical spline basis for longitude as ...
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Categorical mediator and total effect estimation
Let's say you have a linear variable ($X$) that has a causal effect on a final linear variable ($Y$) via a mediator which in turn is a categorical variable ($Z$).
$$ X \rightarrow Z \rightarrow Y $$
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Eliminating redundancy in Multinomial Logistic model
At page 348 - Chapter 10.6 in The Elements of Statistical Learning (12th printing -2007), the logistic model for K-class classification is expressed as: $p_k(x)={exp(f_k(x))\over \sum_{l=1}^{K}exp(f_l(...
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Dealing with "none" responses in discrete choice models
I have data which consists of respondents' answers to a question on political party identification, as well as other covariates for the respondents such as income, age, etc. Respondents are asked to ...
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Model for percent resource allocation between groups
I have a panel data set indicating each entities percent resource allocation among a number of different options. I have been using a logistic regression model to predict the share of allocation for ...
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Analysing data with multinomial logistic regression
I am trying to analyse a dataset with multinomial logistic regression. The data looks as follows: 1 categorical dependent variable with 4 levels (Same-day delivery, Next-day delivery, Evening delivery,...
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How to calculate propensity scores for multiple treatments with different predictors?
I use propensity score matching with one control condition $d\in\{0\}$ and multiple treatment conditions $d\in\{A, B, AB\}$, where $AB$ denotes the combination of (relatively unrelated) treatments $A$ ...
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Multivariate logit: evaluate contributions of predictors to estimated probabilities
In a logistic regression with multiple regressors, is there a way to analyze the contribution of the predictors on the dependent variable? (e.g. how would one understand why did the probabilities ...
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Softmax overflow AND underflow
I am trying to use the typical Multinomial model:
$y_{i} \sim Multinomial(N, \theta_{1}, ...,\theta_{p})$
where each theta is defined as:
$\theta_{i}=\frac{e^{V_{i} }}{\sum_{j} e^{V_{j}}}$
I have an ...
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Indicator function with equal sign for probability integral
In the beginning of the book Train (2009, p.4) on "Discrete choice methods with simulation" we read:
Define an indicator function $I[h(x,ε) = y]$ that takes the value of
$1$ when the ...
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Can we have an explicit representation of inverse of a softmax function?
As we know, logit is the inverse of logistic function in case of binary classification. Similar to this, I am willing to derive results for multinomial classification, for that I need to get an ...
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What does $\tilde{p}_{ik}$ mean in the dual form of Multinomial Logistic Regression?
Minimization of objective of dual Multinomial-Logit Regression:
$$
\begin{array}{ll}
\min _{\mathbf{w}} & \frac{1}{2 \sigma^{2}} \sum_{k=1}^{K}\left\|\mathbf{w}_{k}(\boldsymbol{\alpha})\right\|^{2}...
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Multinomial logistic regression with unobserved classes?
Suppose that there are 10 treatments, each of them applied to groups of $n_i=10$ patients (i.e. 100 patients in total). Three types of outcomes are measured on each group, defining categories $C_1, ...
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Modeling Multiple Discrete Choices for Categorical Outcome
I have a dataset of individuals making choices and the outcome is the assignment various objects to categories. However multiple categories may be discretely chosen by each individual for each object, ...
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Joint or separate regressions when groups have independent variables with distinct values
I have three independent variables x1, x2, x3 which are proportions summing up to 1, so I am only using x2 and x3 as the independent variables. The dependent variable is 3 level categorial variable.
I ...
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Intercept of logit vs intercept of multinomial logit
If I simulate the success probability for a Bernoulli random variable $t_{binary}$ conditional on some regressor $x$:
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non-overlapping CIs in predicted probabilities after multinomial logit: can we conclude statistically significant difference?
I produced the below plot of predicted probabilities after running a multinomial logit model with Stata (full code below). Questions:
In 2013 (for example), the 95% CIs for M, F, and U do not overlap....
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Utility functions in multinomial logit model (NLOGIT software)
NLOGIT software allow to edit the utility function for each alternative. Format looks like below,
;model
U(alternative 1)=<utility function 1>=constant1+coefficientsvariables
U(alternative 2)=&...
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Understanding differences between binomial and multinomial models
I'm attempting to model how 2 predictor variables affect the relative proportions of 3 different categorical groups. I started off by running a binomial model for the proportion of each individual ...
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Obtaining log-odds coefficients instead of proportions in output of post-hoc tests in emmeans package
I got in trouble for posting this on Stack Overflow a few days ago. It seemed to me more of a coding question than a statistical question (i.e. what argument to use in the ...
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Multilevel multinominal logistic regression
For the analysis of repeated measurements data by developing a multilevel multinominal logistic model, in what format should the data set be prepared? What about any other technical pearls?
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How to test relationship between a continuous independent variable and a categorical dependent variable?
I have a quite common issue. I would like to test whether the waiting time at a restaurant is related to customer satisfaction ratings.
The independent variable is continuous: waiting time. The ...
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Covariance structures for multinomial logistic mixed models
I am using ordinal::clmm in R for analysis of ordinal repeated measures data. My understanding is that specifying random intercept: (1|judge) as random effects in <...
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Multinomial Logistic Regression as Measure of Association
I have a dataset with say about 50 variables related to lifestyle risk factors, and I want to measure the association between these lifestyle predictors (e.g. smoking, alcohol consumption, physical ...
