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Confusion on units for the Poisson distribution when it is used to model variables with units

Let us handwave away the discrete/continuous issue and pretend that the times have been discretized by a hypothetical researcher, and they're in units of minutes. So let us say that when expressed in ...
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What variable type to choose for a Poisson distributed variable if software package only allows for nominal, ordinal or continuous

Poisson-distributed data are numeric count data. So a strictly nominal coding, which would treat each count value as a separate unordered level of a multi-level categorical variable, would seem to be ...
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Goodness of Fit for (presumably) poisson distributed data

So I think the Chi-square approach works OK for low mean Poisson data, since setting the bins at integer values is the logical choice. With higher means though, it becomes more tricky -- you will get ...
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