# Questions tagged [multinomial-distribution]

A multivariate, discrete probability distribution used to describe the results of a random experiment where each of $n$ outcomes are placed into one of $k$ nominal categories.

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### Error with multinomial regression fit in mgcv -

Data is at https://file.io/th7TXDPopc5Y Response column 'y' is multinomial and the rest are predictors. When I try to fit the below model, I get errors -- ...
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### Is multinomial naive Bayes classification not naive Bayes classification?

Suppose I am thinking about a classification problem and I have my features $X = (X_1,...,X_n)$ and my classification $C$ (taking values in some finite set of classes $c_1,...,c_k$). The naive Bayes ...
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### Multinomial logistic regression sample size

I'm an undergrad student completing my dissertation research proposal. I am trying to calculate a sample size for my multinomial logistic regression analysis. The criterion variable is degree type ...
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### Were two 2x2 tables drawn from the same population?

How might one test the null hypothesis that two 2x2 tables (of frequencies) were drawn from the same population? More specifically, I have two 2x2 samples of unequal sample size. I would like to test ...
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### Multinomial one-sided confidence intervals

Building on this question: Confidence interval and sample size multinomial probabilities In a binomial confidence interval, a 90% two-sided CI corresponds to a 95% one-sided CI. The question above ...
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### What is the probability that the most likely side of a biased die occurs most frequently?

Consider counting occurrences of the sides of a $k$-sided die rolled $n$ times. The die is biased towards the first side having probability $p > \frac{1}{k}$ and the remaining sides all have equal ...
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### Detailed derivation for the log likelihood of a logistic multinomial model

I am working with some Bayesian model development involving the logistic-normal multinomial model. However, I am quite confused about how to express the multinomial part. Traditionally, the full ...
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### Multinomial logistic regression 0 classification rate

I am running a multinomial logistic regression with SPSS and I have encountered a problem (?) with my data. I have a dependent variable: foreign language enjoyment (FLE) (DV) with five categories ...
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### Are ordinal models technically a GLM?

I'm following Agresti's book. Specifically, chapter 6 which deals with multinomial models. In that he shows how a nominal response can be modeled by a baseline category GLM, and shows it can be viewed ...
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### Confidence intervals for proportions and independence

Suppose a company sells various products at different prices. I would like to compute confidence intervals for the contribution of each product to overal sales, preferably in terms of currency (e.g., ...
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### Multinomial distribution approach as negative binomial?

I was asked to solve a problem, following the multinomial distribution (if you think is the correct approach, which I actually think it is). I paste the whole problem just in case I am approaching, ...
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### How to test whether the "prevalence ratio" of one marker is higher than that of another

Here is my setup. I have two sets of DNA sequences, one bound by a protein (transcription factor), another not bound by the protein. Let's say I have two candidate motifs, or DNA patterns the protein ...
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### Best practice for multinomial confidence bounds, given only data from a few categories

I have a multinomial distribution with $k$ categories, and my goal is to establish statements of the form: "I am $1-\alpha$ confident that the true frequency of category $i$ is below $x$". ...
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### What would be an appropriate way to analyze a dataset with nominal dependent variables with reapeated measures for some but not all subjects

I am trying to find the correlation between several clinical observations/demographic characteristics and the presence of certain electroencephalographic (EEG) features. The EEG features are my ...
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### Expected number of multinomial samples to cover a multiset

Consider a multinomial distribution $[p_1, \ldots, p_n]$ and a collection of counts $[a_1, \ldots, a_n]$. I would like to know the expected number of multinomial samples needed until every element $i$ ...
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