27k views

### Regression for an outcome (ratio or fraction) between 0 and 1

I am thinking of building a model predicting a ratio $a/b$, where $a \le b$ and $a > 0$ and $b > 0$. So, the ratio would be between $0$ and $1$. I could use linear regression, although it doesn'...
21k views

### How to do logistic regression in R when outcome is fractional (a ratio of two counts)?

I'm reviewing a paper which has the following biological experiment. A device is used to expose cells to varying amounts of fluid shear stress. As greater shear stress is applied to the cells, more of ...
40k views

### What is quasi-binomial distribution (in the context of GLM)?

I'm hoping someone can provide an intuitive overview of what quasibinomial distribution is and what it does. I'm particularly interested in these points: How quasibinomial differs to the binomial ...
11k views

### Beta regression of proportion data including 1 and 0

I am trying to produce a model for which I have a response variable which is a proportion between 0 and 1, this includes quite a few 0s and 1s but also many values in between. I am thinking about ...
19k views

### How to apply binomial GLMM (glmer) to percentages rather than yes-no counts?

I have a repeated-measures experiment where the dependent variable is a percentage, and I have multiple factors as independent variables. I'd like to use glmer from ...
20k views

### Fitting a binomial GLMM (glmer) to a response variable that is a proportion or fraction

I'm hoping somebody can help with what I think is a relatively simple question, and I think I know the answer but without confirmation it has become something I just can't be certain of. I have some ...
5k views

### Extending logistic regression for outcomes in the range between 0 and 1

I have a regression problem where the outcomes are not strictly 0, 1 but rather in the range of all real numbers from 0 to 1 included $Y = [ 0, 0.12, 0.31, ..., 1 ]$. This problem has already been ...
3k views

### GLM with logit link and Gaussian family to predict a continuous DV between 0 and 1

Can you run a GLM using a logit link with a continuous DV (between 0 and 1)? Generally it's suggested to use a binomial family with a logit link, but I'm guessing that is because the model assumes a ...
9k views

### How to replicate Stata's robust binomial GLM for proportion data in R?

There is an example on how to run a GLM for proportion data in Stata here The IV is the proportion of students receiving free or reduced priced meals at school. The stata model looks like this.: <...
909 views

### Interesting Logistic Regression Idea - Problem: Data not currently in 0/1 form. Any solutions?

I am attempting to conduct a logistic regression for a tennis analytics project, endeavoring to predict the probability of a player winning a point in which he is the server. My response variable (...
866 views

### Is it technically “valid” to fit a logistic regression with a dependent variable that is a proportion?

Several posts (here and here) suggest that beta regression is more appropriate when the dependent variable is naturally bounded between 0 and 1. My question is, leaving appropriateness aside, is it ...
6k views

### Regression with percentage response variable (ratio of two counts but the counts themselves are not available) in R

I have a dataset where I'm trying to predict a student's percentage score on a school exam from some other collected IVs. I'm wondering how to correctly run this analysis in ...
2k views

### Continuous dependent variable between 0 and 1 fitted with sigmoidal function

I've tried to find an answer to this to no avail. It is similar to this question, but not quite identical. I have a continuous dependent variable that occurs between zero and one (with some data ...
I have proportion data $Y \in [0,1]$. Without random effects, this is fit in glm without too much trouble, with family = quasibinomial to adjust the standard errors, although I actually bootstrap to ...