Linked Questions

4 votes
1 answer
137 views

Seeing if a Poisson Regression follows the necessary assumptions

I am trying to understand how simulation plays a role in checking model assumptions when the residuals do not have exact distributions. I took this Poisson Regression Model: $$\lambda_i = e^{(\beta_0 +...
2 votes
1 answer
57 views

Interpretation of a zero-inflated poisson model

I have the following data ...
60 votes
4 answers
110k views

Is there a test to determine whether GLM overdispersion is significant?

I'm creating Poisson GLMs in R. To check for overdispersion I'm looking at the ratio of residual deviance to degrees of freedom provided by summary(model.name). ...
0 votes
0 answers
30 views

Statistical test for count data [duplicate]

I'm currently trying to figure out which statistical test to use for my count data, and I'm a little confused on how to go about it. The data that I'm working with consists of number of camera trap ...
0 votes
0 answers
17 views

How can I statistically define such feature (independent variable) being faced on zero inflation issue? [duplicate]

here is a vector: [0,0,0,1,0,0,1,4,2,5,0,0,0,0,0,0,0,0,0,....,2,0] and is there any statistic test and p value to tell me such vector is holding too many zero ? I just check https://www.statsmodels....
1 vote
1 answer
162 views

Goodness of fit for Poisson regression with aggregated data

This a folow-up of this question Independence in Poisson regression when used for rates estimation I have a set of thousands of observations. Each relates to an individual, and for eachI have the date ...
1 vote
0 answers
86 views

Assessing fit of count regression models

I'm new to modelling count outcomes and was hoping an expert could take a look at the rootogram and Q-Q plot of deviance residual below and let me know how important the misfit is as regards ...
2 votes
1 answer
1k views

How to measure goodness of fit for a poisson regression model?

I am working on a poisson regression model in sas. But I am not able to determine how good the fit is. I have used PROC GENMOD, PROC NLMIXED, PROC GLIMMIX and now I want to compare the results. How ...
1 vote
0 answers
123 views

How do I go about conducting model diagnostics on WLS? [duplicate]

I'm familiar with the diagnostics required for OLS, however I'm in new territory with a model I'm fitting to data in R, using Poisson regression with GLM. What are the standard methods in evaluating ...
42 votes
3 answers
36k views

Interpreting residual diagnostic plots for glm models?

I am looking for guidelines on how to interpret residual plots of glm models. Especially poisson, negative binomial, binomial models. What can we expect from these plots when the models are "correct"...
0 votes
0 answers
20 views

Will usual tests state that data is overdispersed if response mean in poisson regression can vary greatly?

Assume I have 1000 responses from some count data, where each response follows the Poisson distribution with a mean (and variance) falling somewhere in the large range of 1 - 100. There is one ...
23 votes
2 answers
13k views

Is there i.i.d. assumption on logistic regression?

Is there i.i.d. assumption on the response variable of logistic regression? For example, suppose we have $1000$ data points. It seems the response $Y_i$ is coming from a Bernoulli distribution with $...
2 votes
1 answer
779 views

Fitting a Negative Binomial Distribution to small data set

I would like to perform a sample size calculation based on data from a small pilot study. In this experiment, cells are counted in each individual. There will be two different treatment groups which I ...
0 votes
2 answers
2k views

Can I use the Anova (type II) to test significance in my negative binomial regression?

I have fitted a binomial regression in R using glm.nb from the MASS package. I have two questions and would be very thankful if you could answer any of them: 1a) ...
0 votes
1 answer
2k views

What does residual map explain?

I am modelling count data of migration flow (from origin to destination) with several explanatory variables using negative binomial regression. ...

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