What type of distribution would you consider this data to be? My first thought is an f-distribution, but I suppose it could also be a poisson distribution. I am trying to build a generalized additive model (gam) that takes time compnents of an EMS call (things like response time, time at scene, time to hospital, etc.) to see how well specific parts of an EMS run can explain the overall call time.
The gam function in R (using the mgcv package) uses
family=" " to identify the distribution of the gam. The f-distribution is not a family type. Does anyone know why not? Should I go with the poisson distribution? That said, I have tried both gaussian and poisson in test gam models. I had a
deviance explained = ~70% for the gaussian gam and only
deviance explained = ~50% for the poisson. Should I go with whichever distribution gives me the higher deviance explained value? Thanks!