# Tagged Questions

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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### Finding a Scalable Approach to a modified coin-flip problem using MLE model

and thank you in advance for your help! I am interested in applying MLE to estimate parameters in a "modified" coin flip model, but have been having difficulties scaling the solution. The problem ...
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### Quantitatively analyzing relationships between multinomial and multiple binomial variables

I’m analyzing crowdsourced Twitter data, where workers labeled tweets. Within my dataset (N=2,400), I have one IV (call it ‘ds’) with 2 levels that differentiates which dataset the workers labeled. I ...
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### Multiple binomial variables: probability they are all 1

We have observed four phone booths by recording, at a given time point, whether each phone booth is occupied (0 or 1). We have approximately 50 such observations (i.e. at 50 different time points, so ...
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### Logistic regression with only categorical predictors

So I started off with a model which included both continuous and categorical predictor variables. But now I wanted to drop the only continuous variable (distance to shore), because to my opinion it ...
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### Binomial Hypothesis Test Segmentation For Webpage A/B Testing

My Question: Is page1 performance better or worse than page2 performance? Which page would you switch traffic to? More Context ...
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### Link functions for Binomial Regression

So I have a dataset of presence (1) and absence (0) data, but it mainly consists of 0's (~80% of the 5200 observations). Now while constructing my binomial logistic model I am reading (Zuurt et al. ...
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### Binomial modelling, testing and Bonferroni

I am currently trying to validate an implementation that is supposed to randomly assign a certain number of tags to users who enter a platform. The variable of interest here for me is the sum of all ...
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### Model design and nonconvergence problem with GLMM, incomplete block design in R

I have a two-part question that includes issues with generalized linear mixed models and failure to converge. First, a little bit about my experimental design. I have data where I am trying to test ...
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### How to test whether two coin replicates are both biased in one direction?

Assume we have two coins replicates, which are produced in the same pipeline. To test whether the coins replicates are both biased in one direction (e.g. the probability of head > 0.5), we did flip ...
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### Prediction interval for a future proportion of successes under Binomial setting

Suppose I fit a Binomial regression and obtain the point estimates and variance-covariance matrix of the regression coefficients. That will allow me to get a CI for the expected proportion of ...
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### Writing a function in R that imitates rbinom [closed]

I'm just learning to write functions in R for the first time and I'm trying to mimic the rbinom() function in R. I've written some code but I'm not sure if it is repeating what rbinom() does. Also how ...
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### Interpretation of GLMM output

I have an output ("summary()") of a GLMM ("lme4::glmer()") but I am not quite sure how to interpretate the estimate values of the fixed effects. My response variable is binary and all independent ...
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### What statistical test should be used to compare two independent samples over time (pre- and post-test) for binomial variables?

A typical question is: Do you have a paid job? 1 Yes 2 No I have a treatment group and a comparison group (not matched--in fact they're quite different from each other) and I'd like to statistically ...
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### Warnings using lme with a binomial distribution

Good morning all!I am trying to run a binomial gmler model. My response variable is a binomial variable: extra pair paternity -->( 1 or 0) I am looking at several continuous variables like weight, ...
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### Can this situation really be modeled using a Binomial Random Variable? It seems we're sampling without replacement

I've seen the following situation modeled using a Binomial RV: We know that 20% of the people living in a village are against building an airport while 80% are in favor of it. If we randomly pick a ...
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### Extracting Standard Errors for a combination of factorial predictors in binomial GLM

Suppose I run a binomial GLM (in R) with response variable [0,1] and 2 predictor variables that are both categorical. Let's call them a and ...
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### Using variables measured at different scales in a binomial GLMM with successes and failures

I have seed and seedling abundance data for several plant species. I am trying to model the effect of my treatment on how many seeds successfully transition into seedlings (seed-to-seedling ...
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### Removing intercept from GLM for multiple factorial predictors only works for first factor in model

I am running a binomial logistic regression with a logit link function in R. My response is factorial [0/1] and I have two multilevel factorial predictors - let's call them a and b where a has 4 ...
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### Consecutive sampling from a pool

I am new to stats. I have a straightforward ball drawing situation. If I have certain red balls (r) among blue balls in a pool (total: N), and I sample the balls with replacement for a certain times (...
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### Uncertainty in a fractional count

What is the uncertainty (68% confidence level) of $N/M$, where $N$ is the number of entries that pass a cut and $M$ is the total number of entries? ($N$ and $M$ are both integers, and I'm interested ...
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### Unbiased estimator of binomial parameter

Let 4,3,5,2,6 are 5 observations of the binomial(10,p) random variable.What will be an unbiased estimate of $(1+p)^{10}$ ? I have tried to solve the problem in this way. We know that \$E[\frac{\bar{(...
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### how to test multiple binomial events

Suppose I have a million coins, they have different propabilities for heads, and I known the probability of each of them. Now, I flip each of them once and record the head/tail events. How can I test ...