Linked Questions

68 votes
4 answers
63k 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'...
dfrankow's user avatar
  • 3,456
30 votes
6 answers
22k 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 ...
Jonathan Bone's user avatar
39 votes
3 answers
33k 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 ...
thecity2's user avatar
  • 1,965
65 votes
2 answers
78k 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 ...
luciano's user avatar
  • 14.6k
24 votes
2 answers
26k 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 ...
Dan Stowell's user avatar
  • 1,384
24 votes
1 answer
39k 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 ...
ALs's user avatar
  • 377
12 votes
4 answers
11k 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 ...
Robert Kubrick's user avatar
8 votes
3 answers
4k 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 ...
deepsidetea's user avatar
9 votes
2 answers
14k 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.: <...
Charlie Glez's user avatar
11 votes
2 answers
2k 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 ...
user avatar
7 votes
2 answers
10k 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 ...
Toby's user avatar
  • 416
13 votes
1 answer
12k 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 ...
Simon's user avatar
  • 2,361
3 votes
3 answers
2k 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 (...
Stevie Kvothe's user avatar
8 votes
1 answer
4k 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 ...
coralGuy's user avatar
1 vote
0 answers
7k 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 ...
Colman's user avatar
  • 64
5 votes
0 answers
4k views

Linear mixed effect model with fractional/proportional outcome: choosing between binomial and beta

I'm looking to run a linear mixed effect model using lme4, where my dependent variable one_syllable_words / total_words_generated is a proportion and my random ...
Sarah Smith's user avatar
2 votes
1 answer
3k views

Still get non-positive values for the 'gamma' family

I am going to post it here, as suggested in stackoverflow: I am analyzing percentage data with glmer, and I have read that Gamma family should be suitable for this kind of data. I have checked my data ...
Sisi's user avatar
  • 61
1 vote
1 answer
1k views

Mixed model residuals are not normal

I am modeling data from an experiment with a mixed model. The outcome variable is a percentage. There are three fixed effects, Condition: diseased and healthy, Time point: 1, 2 and 3 , Drug: A,B,C,D,E....
AMC's user avatar
  • 33
0 votes
2 answers
661 views

modelling proportion data - transforming 0 and 1s to fit beta regression

I have proportion data which includes 0s and 1s (the ri column below, calculated from the ud/days_lib)). I have found a few threads related to modelling this issue. A few of which (e.g., this thread) ...
mikejwilliamson's user avatar
1 vote
0 answers
1k views

How to model a decimal response between 0 to 1 with a GLM in R

I am trying to model a response variable which is a proportion (so a response between 0 and 1, see picture for distribution). Ideally I would like to model it without using the actual counts, so as a ...
Jared Fowler's user avatar
5 votes
0 answers
188 views

Which approach can be used to regress sleep time on brain mass, in this data set?

I was reading this blog post: https://htmlpreview.github.io/?https://raw.githubusercontent.com/avehtari/BDA_R_demos/master/demos_rstan/sleep.html the author describes a model to predict how many ...
DeltaIV's user avatar
  • 18.4k
1 vote
1 answer
118 views

A good fit of the model but the estimates are very low

I'm trying to model soil quality using the soil quality index (SQI) as a function of earthworm abundance and elevation. The SQI is restricted to values between 0 and 1. I used multiple soil indicators ...
Jephthé Samuel GUERVIL's user avatar
1 vote
0 answers
215 views

Is lmer or glmer appropriate for nested continuous proportion data

I have a reviewer that wants me to analyze my data along the lines: Con_Ratio ~ Range * Latitude * Longitude + (1 | Genotype/Pair). But I'm not sure if this can be done and how. My experimental ...
CJ123's user avatar
  • 11
1 vote
1 answer
125 views

Is a binomial logistic model appropriate for this proportional data?

I am analysing data from a questionnaire with different subscores. The subscores are calculated like this, for example: Subscore 1 = $(Item_1 + Item_2+ ....+ Item_n)/ n*2$. Each Item can have a score ...
a.henrietty's user avatar
1 vote
0 answers
103 views

Non-normal residuals when the outcome variable is a Fisher $Z$-transformed correlation coefficient

I’m running a multilevel model in which the outcome variable is a Fisher Z-transformed correlation coefficient. The residuals look quite non-normal: In case the details matter, I’ll mention that the ...
user1205901 - Слава Україні's user avatar
0 votes
1 answer
88 views

Significance analysis for multiple classes of stimulus with different items per class

I have some data where participants watched some clips and evaluated them. All participants watched all the clips (within-subjects experiment). There are 3 categories of clips: positive, neutral and ...
estraven's user avatar
  • 105
0 votes
1 answer
45 views

Should I use independent T-Test in this case

I am running a test with two independent variables (Interfaces and Tasks) and one dependent variable (task completion rate): The data looks like this ...
Cheng's user avatar
  • 243