## Model-averaged confidence intervals

posts related to the RPresence library, which may not be of general interest to users of 'classic' PRESENCE.

### Model-averaged confidence intervals

Hi there,

When using the modAvg function to predict model-averaged occupancy probabilities, how are confidence intervals calculated? I assume these are unconditional CI's that take model selection uncertainty into account, but are they calculated using the delta method? The same question applies for model-averaged real estimates (i.e. predict = FALSE).

Thanks very much!
jthomas

Posts: 4
Joined: Sun Feb 04, 2018 8:40 pm

### Re: Model-averaged confidence intervals

The CIs are calculated using the model-averaged estimates and their unconditional SE's (based on the revised SE calculation for MA estimates from B&A (2002)). The estimate and SE are transformed to the logit-scale using delta method, CI calculated on the logit-scale, and then the limits are back-transformed to the real (probability) scale.

Note that I'm not 100% convinced this is the best way of doing it, particularly for parts of the covariate space where different models give you quite different estimates. David Fletcher has done some work on MA CIs to try and account for these situations that I need to read up on one day.

Cheers
Darryl
darryl

Posts: 442
Joined: Thu Jun 12, 2003 3:04 pm
Location: Dunedin, New Zealand

### Re: Model-averaged confidence intervals

darryl wrote:The CIs are calculated using the model-averaged estimates and their unconditional SE's (based on the revised SE calculation for MA estimates from B&A (2002)). The estimate and SE are transformed to the logit-scale using delta method, CI calculated on the logit-scale, and then the limits are back-transformed to the real (probability) scale.

Note that I'm not 100% convinced this is the best way of doing it, particularly for parts of the covariate space where different models give you quite different estimates. David Fletcher has done some work on MA CIs to try and account for these situations that I need to read up on one day.

Cheers
Darryl

I'll need to read David's paper as well (reading Fletcher papers is almost always a smart thing to do), but it might be useful for you to read the verbiage in the MARK book on how the CI for model-averaged estimates is handled (and how it is either the same, or different, from what Darryl describes in his reply) -- see the -sidebar- on p. 55-56 of chapter 4:

http://www.phidot.org/software/mark/doc ... df#page=55
cooch

Posts: 1378
Joined: Thu May 15, 2003 4:11 pm
Location: Cornell University

### Re: Model-averaged confidence intervals

Yep, the modAvg function uses the first of the 2 approaches outlined in that sidebar.
darryl

Posts: 442
Joined: Thu Jun 12, 2003 3:04 pm
Location: Dunedin, New Zealand

### Re: Model-averaged confidence intervals

Great, thanks to both of you for the quick replies!

-Julie
jthomas

Posts: 4
Joined: Sun Feb 04, 2018 8:40 pm