# Questions tagged [binomial-distribution]

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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### Distribution to describe size of population with random exponential growth

Is there a distribution family that describes the size of a population experiencing random exponential growth (either discrete or continuous)? For context, I am trying to computationally model a ...
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### What is the best test to run to compare presence/absence of something between sampling locations?

I have data on the presence/absence of four different pathogens found in edible crabs in 7 locations over 2 seasons. For this study, 30 crabs were collected from each site and for each crab the ...
1 vote
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### Test whether my new method's type I error rate correctly matches chosen alpha

I am testing two different methods for hypothesis testing, bootstrapped likelihood ratio tests, and likelihood ratio tests assuming an asymptotic distribution. I would like to see if the number of ...
1 vote
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### Expectation of binomial random variable

Having trouble understanding something I read in a paper recently. Say we have $X \sim \operatorname{Binomial}(N,p).$ The paper states: $$E[X \mid N,p] = Np$$ (so far so good) and $$E[X] = \mu p$$ ...
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### Regression strategies for predicting a binomially distributed, count outcome: Poisson, Negative Binomial, and Logistic Models with Offsets

Data Description: I am working with a dataset of 100 hens, represented across four columns: ID: Numbers 1 through 100. Age: Each hen's age. EggCount: Number of eggs laid per hen, with a range from 0 ...
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### I would like some insight into what I have been working on here

I work in roofing sales which involves door-knocking at the entry level. Our daily numbers are printed in our GroupMe chat for our branch. I took it upon myself to do some analysis on those numbers. ...
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### "Important" data points causing problems with nonlinear regression bootstrapping

I am trying to model radar backscatter of a planetary surface. The power which is scattered back to the instrument depends on the angle at which the it observes the surface. The shape of the resulting ...
1 vote
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### Number of successes for correlated Bernoulli variables

The number of successes for a given set of independent Bernoulli random variables is described by the binomial distribution. However, I was wondering what could be said if the Bernoulli variables were ...
1 vote
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### cloglog.sample.size function (Binomial distribution)

I was wondering if cloglog.sample.size function from binom package in R can be used to calculate the sample size for the following model (Binomial dis with cloglog) which can be used for discrete ...
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1 vote
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### Distribution of outcomes of multiple binomial distributions

I have a sample of 50 subjects, where every subject completes a task with two possible outcomes (left or right hand use, with 50% probability) 30 times. On an individual level, this leads to a ...
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### Small Sample Sizes and Zero Inflated Count Data in R

I am working to produce a model in R for seed germination count data with lots of zeros (around 50% of the 264 total observations). The purpose is to determine the effect treatments have on plant ...
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