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Questions tagged [link-function]

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A transformation of a parameter governing a response distribution that is used as a crucial part of the generalized linear model to map that parameter's range (which may be from 0 to 1, or only positive values, e.g.) to the real number line $(-\infty, +\infty)$.

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I am fitting a simple model for dataset where the outcome is binary (1 or 0). ...
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I know this is a topic that "often" pops up. But despite heavy search, I didn't really find a proper answer to my questions. Hopefully someone here can help me out. I'm interested in ...
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When the log link is used in the GLM setting, the target mean and linear predictor are related via $$ \mu = e^{\beta_0}\prod_{i=1}^p e^{\beta_i X_i} $$ My study manual says that when $X_j$ is a ...
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I am working with a response variable with kind of funny characteristics, and I am not sure of the appropriate transformation and/or link function for my model, based on the diagnostic plots I am ...
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While simulating some studies and analyzing them in R with glm(…, family=binomial) and binary and continuous covariates the function sometimes complains: no valid ...
diffset's user avatar
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In regression modeling, what is the difference between fitting a model by transforming the response variable (e.g., applying a log transformation to y) and then backtransforming the outputs to the ...
mat's user avatar
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Common choices for a link function in a statistical model that maps $\mathbb{R}$ to $(0, 1)$ include logit, probit, and cloglog. For logit models, the inverse link function is $\frac{1}{1+e^{-x}}$, ...
ischmidt20's user avatar
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I want to know the derivation, how to basically calculate it
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I've read several posts regarding the choice of distributions and link functions for GLMs. Although I'm far from understanding it all, what I've gathered is that the purpose of the link function is to ...
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I am examining the effect of 'Phase' on reactions time (RT) data using a mixed model in lme4. However, as is common with RT data, the residuals are non-normal. This is the first model, which is a ...
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we were recently introduced in class to GLM's and I am still trying to wrap my head around link functions, variance functions and dispersion paramters. In particular we were asked re-write the linear ...
Harry Lofi's user avatar
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1 answer
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I have a dataset with an exponential relationship that I'm linearizing before fitting with code like this: glm(log(y) ~ log(x), family = gaussian) I'm trying to ...
tnt's user avatar
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I am trying to build a generalized linear model with a custom link function. This is a follow up to this question: Understand and specify a generalized logistic model in R In this paper A Generalized ...
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I am reading a paper in which the authors models tree survival (mortality). They go and remeasure tagged trees for decades to establish "survival functions" for the given tree species and ...
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I am trying out GLMMs models to test whether two categorical variables (species and sex) and their interaction (sex + species + sex*species= fixed factors) influence certain acoustic parameters (...
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