Hoeting et al. 2000

Hoeting, J. A., M. Leecaster, and D. Bowden. 2000. An improved model for spatially correlated binary responses. Journal of Agricultural, Biological, and Environmental Statistics:(in press).

In this paper we use covariates and an indication of sampling effort in an autologistic model (Besag, 1974) to improve predictions of probability of presence for lattice data.  The model is applied to sampled data where only a small proportion of the available sites have been observed.  We adopt a Bayesian set-up and develop a Gibbs sampling estimatin procedure.  In four examples based on simulated data, we show that the autologistic model with covariates improves predictions as compared to the simple regression model and the basic autologistic model (without covariates).  Software to implement the methodology is available at no cost from StatLib.