# Questions tagged [binomial]

The binomial distribution gives the frequencies of "successes" in a fixed number of independent "trials". Use this tag for questions about data that might be binomially distributed or for questions about the theory of this distribution.

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### Augmented binomial test where p is different for each trial

A have a model process whereby for each item, $i$, of $N$ total items I estimate a trial success probability $p_i$. I then have results for each individual process which has resulted in failure (0) or ...
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### Can proportional binomial regression be used in piecewise structural equation modelling (piecewiseSEM)?

I'm using generalized linear mixed models from the lme4 package to do structural equation modelling using piecewiseSEM. It works ...
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### Confidence interval for average of different binomial trials - can I apply central limit theorem?

I have person-level data, and for each person, I have the racial breakdown of the geographic area in which they live. For example, person A might have 100 people in their area, and 80 (80%) of them ...
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### Selecting between a zero-inflated binomial, OLRE and beta-binomial model

I need some help in deciding which of the following models fits best the data that I have. This was a survey where participants reported proportions of successes (defined as n/m) in condition A and B. ...
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### How to calculate a confidence interval in R for a binomial mixed-effect model (which was fit using the R package glmmLasso)?

How does one calculate confidence intervals for a binomial mixed-effect model that was fit using the R package glmmLasso? I am interested in the 95% confidence intervals for the fixed effects. confint ...
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### Determining a safe number of parking spaces

A company is building 100 new apartments. Based on previous data from similar areas, the company knows that the propability is 25% that a household will not have a car, 50% that a household will have ...
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### How to correct zero cell counts for odds ratio calculations when variable has >2 categories

I am trying to calculate odds ratios for several univariate models with a binomial outcome. The problem is, for some of my variables, I have at least 1 zero count cell. It seems that the Haldane ...
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### How would you interpret this Binomial Logit GLM? [duplicate]

I ran the binomial logit GLM which predicts whether a claim occurs in a policy or not. My estimated coefficients are as follows: Intercept: -2.68 Car Type (Saloon is base level) SUV: -0.07 Bus: 0.15 ...
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### Discrepancy between binomial and beta in R?

I'm getting a result I cannot explain when using beta distribution. I've got a result which came from a binomial distribution: 2 successes in 6 trials. I would think the maximum likelihood estimator ...
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### Reverse engineering Beta prior parameters from Binomial likelihood and posterior beta parameters

Suppose a friend has calculated a posterior distribution from a Beta prior and binomial likelihood, and you are interested in the prior parameters they used, but they won't give them to you. They only ...
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### Survival analysis with continuous outcomes

I'm thinking of running survival analysis for continuous binomial outcome. All instances start at 0 and end at n. For example: ...
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### Interpreting effect size for binomial GLM (power analysis with simr)

I am doing a power analysis to determine how many sites I need to sample (recording an animal’s presence/absence) to detect a difference between the animal's presence before and after a fire has gone ...
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### Power analysis for binomial GLM with simr (having trouble changing effect size)

I am trying to determine the impact of bushfire on an animal's presence in a reserve. We already have the pre-fire data (around 200 plots were surveyed and the animal's presence/absence in the plots ...
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### Counter-intuitive result from Cochran Armitage trend test and glm binomial

My question is motivated by the Q&A at How to test the increase of proportions. The question is how to test for a trend in proportion between events and non-events given an ordinal risk of 3 ...
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### Can the split of an AB test be different than 50-50?

I'm running a AB testing at my company, but the split is somehow different than 50-50. Is my test still correct? Can the split be 55-45, or 60-40, and so on? When should I be worried? Sorry if the ...
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### Using Offset in Binomial/Logit GLM for Exposure Years? [duplicate]

I am building a GLM Model that predicts whether there will be a claim in a certain policy or not. So target variable is either 0 or 1, so my choice of GLM was Binomial, and link function was Logit. In ...
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### Overdispersion in logistic model

I'm relatively a newbie in R, and I've been trying to make a silly example of logistic regression to predict, according to Age and Sex whether someone dies of corona or not. I'm from Colombia, so my ...
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### power analysis for binomial test

I am trying to test whether the sex ratio of some sampled individuals significantly differs from the expected sex ratio of 1. I have n= 64, of which female=34 and male=30. I ran a binomial test: ...
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### Probability: Binomial data

If the true success probability for binomial data is close to 0.50, why would you expect to have less certainty with your mean parameter estimate than if the true success probability were closer to 0 ...
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### No Goodness-of-Fit for Binary Responses (GLM)

In this book, p.334 (348 for pdf) it says you can model a binomial regression in a few ways: response as an observed proportion, with weights. e.g. ...
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### Binomial GLMM and model predictions. Is this method correct?

I have a question concerning the statistical validity of methods. I have data about the survival probabilities of vegetative and reproductive structures of a plant along the flowering time. I am ...
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### Distribution to use for when event can occur just once within 30 day period? [closed]

Let's say I have a 30-day period in which one specific event can only occur, at most, once. The probability of the event happening on Day X is likely to be front-loaded (eg. the event is more likely ...