(Beginner question) Consequences of applying model with spatial correlation despite no improvement in DIC/WAIC.

[Berin]

If one assumes spatial (or spatial-temporal) correlation a priori based on the field sampling design and fits an INLA model with spatial (or spatial-temporal) correlation accordingly, is there anything wrong with using this model versus one without the correlation structure if the former doesn’t improve (reduce) the DIC/WAIC by at least 10 points or so relative to the latter? Thank you.

[Håvard Rue]

nothing wrong using this model as long as you make the assumptions clear. like,
that the spatial range and/or temporal range is set (and then fixed), then under
this scenario, this is what you get. you can try different scenarios and see how
sensitive this assumption is

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Håvard Rue
hr...@r-inla.org