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2
votes
1
answer
3k
views
Interpreting Over-dispersion test for Poisson regression
I did the over-dispersion test for my Poisson regression model in R, to check whether negative binominal is a better option. … I used stats package for conducting Poisson regression and AER package for testing overdispersion.
dispersiontest(m2.int,trafo=1)
Below is the output of the test
Overdispersion test
data: m1.int …
3
votes
1
answer
246
views
GLM Poisson Regression with Overdispersion
I use R for a poisson regression (GLM) to test for a difference in the number of years of schooling based on race (6 categories) and religion (3 categories), see structure of dataset and output below. … Hence, I conduct an ANOVA with an F-test for the model which then shows that the interaction term is not statistically significant. What is the correct way to interpret this result? …
12
votes
1
answer
2k
views
Overdispersion and modeling alternatives in Poisson random effect models with offsets
How should I test for overdispersion in my situation? I tested overdispersion in a simple Poisson/negative binomial regression (without random effects) that I know how to fit. … The test suggests presence of overdispersion. However since these models do not take the clustering into account I suppose this test is incorrect. …
4
votes
1
answer
644
views
Overdispersion tests dependence on used covariates in Poisson model
Now there are several methods of testing for overdispersion including
Auxiliary regression (in R)
Likelihood ratio test (in R)
These involve testing for overdispersion in a fitted model. … My question now is, since I have around 100 possible covariates, do I first select covariates and then test for overdispersion or the other way around? …
7
votes
1
answer
7k
views
How to assess overdispersion in Poisson GLMM, lmer( )
block (Intercept) 0 0
Number of obs: 16, groups: block, 4
I have left out the fixed effect parameter tests and correlations for brevity. … .
glm(rich ~ morph*caged, data=bexData,
family=poisson) …
1
vote
1
answer
1k
views
Likelihood ratio test with zero inflated models to check overdispersion
I am wondering if it is correct to use Likelihood ratio test, the same way like we do this with poisson and negbin models. Will critical value still have 1 df? (because of alpha as a difference). … And I would like to know - is it possible to compare ZIP and ZINB models with different parameters (not nested) with this test? …
1
vote
1
answer
1k
views
Model Selection- Poisson and Negative Binomial
The generalized poisson model saw an overdispersion of 290; while the negative binomial model saw a much lower overdispersion of 3.8. … The AIC of the generalized poisson is 2464 and that of the negative binomial is 2466. On running a likelihood ratio test, the genpois method is preferred. …
61
votes
4
answers
113k
views
Is there a test to determine whether GLM overdispersion is significant?
Is there a cutoff value or test for this ratio to be considered "significant?" … I found here this test for significance: 1-pchisq(residual deviance,df), but I've only seen that once, which makes me nervous. …
5
votes
1
answer
2k
views
Determining overdispersion of count variable in bayesian model (brms)
What I tried so far is to extract the predicted means and the shape parameter posterior distribution, compute the dispersion parameter, plot it, and test the probability that it is greater than 1:
model0 … dispersion tests seem to simulate or compute dispersion parameters that can go below 1. …
3
votes
1
answer
1k
views
Analyze count data that does not fit glm - Overdispersion
However, even with the most abundant species, the model fails the goodness of fit test. … I also ran the analysis using an anova followed by a Tukey test from the raw data (as shown below), but then remembered that I would need to use a Poisson distribution for this data. …
3
votes
3
answers
4k
views
Panel count data: choosing between Poisson cluster-robust and negative binomial
My data shows a little bit of overdispersion (when fitted with quasi-poisson the overdispersion parameter is 5.01 and the overdispersion test in AER in R is significant). … So to account for overdispersion, I gathered that there are two options: 1) to use NB regressions and 2) to use cluster-robust SE when fitting the data with Poisson, such as the xtpoisson command in Stata …
0
votes
1
answer
704
views
Binomial GLM in R: Is there any overdispersion test, like AER package?
first few rows of the data
head(mydata)
mydata$rank <- factor(mydata$rank)
mylogit <- glm(admit ~ gre + gpa + rank, data = mydata, family = "binomial")
summary(mylogit)
I try to see if I have model overdispersion … But I not sure ... there is the package AER that makes the overdispersion test for Poisson and Binomial Negative and for Binomial there is any option?
Thanks in advance! …
14
votes
1
answer
12k
views
Identical coefficients estimated in Poisson vs Quasi-Poisson model
In modeling claim count data in an insurance environment, I began with Poisson but then noticed overdispersion. … I also examined NB, ZIP, ZINB, and Hurdle models, but still found the Quasi-Poisson provided the best fit.
I tested for overdispersion via dispersiontest in the AER
package. …
3
votes
1
answer
1k
views
GLM Model checking Plots - Quasi Poisson - Poisson
I wonder whether accounting for overdispersion in a GLM (Quasi - Poisson instead of Poisson family) has an effect on the model checking plots (plot of residuals against fitted values, a scale–location … I tested this and apart from the scale in the plots nothing changes.
Is this hazard or is this always the case? …
1
vote
1
answer
4k
views
Is an overdispersion parameter of 5.17 for GLMM with Beta family too high to yield reliable ...
Most of what I found was about the poisson or binomial distribution, and tests about significance e.g. … DHARMa::testOverdispersion, performance::check_overdispersion, and AER::dispersiontest only test for Poisson GLMs. My question is whether this overdispersion parameter value of 5.17 is too high? …