Linked Questions

47
votes
4answers
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'...
26
votes
3answers
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 ...
36
votes
2answers
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 ...
19
votes
6answers
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 ...
22
votes
2answers
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 ...
11
votes
1answer
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 ...
9
votes
4answers
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 ...
7
votes
3answers
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 ...
5
votes
2answers
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.: <...
3
votes
3answers
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 (...
8
votes
2answers
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 ...
9
votes
1answer
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 ...
5
votes
1answer
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 ...
3
votes
2answers
2k views

R: How to fit a GLMM in nlme

I want to compare lme4 and nlme packages for my data. But I'm confused by how to use syntax in nlme. I'm working with Mixed-Effects Models in S and S-Plus (Pinheiro, Bates 2000) and the current ...
1
vote
0answers
3k views

Which of glmer or glmmTMB fits a binomial family mixed model with response in [0,1] - and what metrics help choose? [closed]

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 ...

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