1k views

### Do generalized linear models allow non-normal response variables, non-normal errors, or both? [duplicate]

There are a lot of Generalized Linear Model questions on here, but I couldn't find one that explicitly addressed this point. The Wikipedia page starts out by saying: [T]he generalized linear model ...
482 views

### why in logistic regression the error terms (residuals) do not need to be normally distributed? [duplicate]

In linear regression, one of its assumption is the residual should be normally distributed. Why does it in logistic regression, the assumption says that residuals do not need to be normally ...
69 views

### Logistic Regression Vs Simple Regression [duplicate]

I am new to this area of regression analysis why do we select ${e^{\beta x } }/{[1+e^{ \beta x}]}$ as $p\{Y=1|X\}$ or how to get $E(y |x )$ in the case where $y$ is dichotomous.
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### Assumption of error of logistic regression [duplicate]

I know there are debates about whether the error exists and its distribution in the case of logistic regression. Suppose we assume that the error term follows the logistic distribution. Are we ...
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### Why do we model noise in linear regression but not logistic regression?

The canonical probabilistic interpretation of linear regression is that $y$ is equal to $\theta^Tx$, plus a Gaussian noise random variable $\epsilon$. However, in standard logistic regression, we don'...
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13k views

7k views

### How to compute the residual standard deviation from glmer() function in R?

I want to extract standard deviation of residual from glmer() function in R . So I wrote : ...
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4k views

### How can logistic regression have a factorial predictor and no intercept?

I tried a regression in the form ${\rm logit}(Y) = {\rm coefficient}\times X + 0 + e$, where $Y$ is a binomial variable and $X$ is a factor variable with $n$ levels. I noticed that removing the ...
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1 vote
3k views

### How to write a logit and probit regression equation?

I have the following linear equation: Dummy dependent variable = dummy main independent variable + control variable 1, absolute value of changes (also between 0 and 1) + control variable 2, sigma (...
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### binary logit regression - which test apply for detecting heteroskedasticity?

After reading a lot of different papers and a lot of different posts on the internet I still don't have a clue how to test on heteroskedasticity with my logistic regression (binary). The White test ...
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### Why does R refer to the distribution family as an "error distribution" in the context of generalized linear models?

I was wondering why R refers to the distribution family as an "error distribution" in the context of generalized linear models? Normally distributed errors(residuals) of a fitted model are a key ...
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767 views

### What is the distribution of the error term in the Poisson Regression model? [duplicate]

Given a Poisson regression model as $y = E(y\mid x) + ε$ where $λ = E(y\mid x) = \exp(x'β)$ with $y$ from the Poisson distribution ($\operatorname{Poisson}(λ)$) I am trying to understand the ...
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1 vote