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Sep 9, 2022 at 23:56 history edited kjetil b halvorsen CC BY-SA 4.0
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Dec 4, 2021 at 6:19 comment added Glen_b More generally, anything where the variance is larger than some model would suggest might be called overdispersed, by extension from the Poisson case (which is where the term originates). In a GLM context you can estimate dispersion, but it will only be called overdispersed for cases where the dispersion parameter is already specified (binomial and Poisson, most typically)
Dec 4, 2021 at 6:13 comment added Glen_b With something that might be expected t be Poisson, overdispersion is specifically for the situation where the variance is greater than mean (by comparison with the Poisson, where in the population the variance is equal the mean), not just varying with it. Consider the binomial, for example, which have variance that is a function of the mean but which is always less than the mean (by a factor of $1-p$). That would not be called overdispersed relative to the Poisson -- quite the opposite.
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Dec 3, 2021 at 2:27 history asked stats_noob CC BY-SA 4.0