Hello,
I am wondering about setting up the detection design matrix for a multi-method model. We have 12 surveys at 21 sites, using two methods of detection for frogs (6 active searches and 6 frog call surveys). One model I want to run is one that allows detection to vary between the two methods, and also with a sample-specific covariate (rainfall). Example below. Is the intercept column (b1) necessary for this situation? I believe I have set up the array below so that active searches (b2) are treated differently than frog call surveys (b3).
b1 b2 b3 b4
1-1 1 1 0 z-score rain
1-2 1 0 1 z-score rain
2-1 1 1 0 z-score rain
2-2 1 0 1 z-score rain
3-1 1 1 0 z-score rain
3-2 1 0 1 z-score rain
4-1 1 1 0 z-score rain
4-2 1 0 1 z-score rain
5-1 1 1 0 z-score rain
5-2 1 0 1 z-score rain
6-1 1 1 0 z-score rain
6-2 1 0 1 z-score rain