Analysis of binary spatial data by quasi-likelihood estimating equations
| dc.creator | Lin, Pei-Sheng | |
| dc.creator | Clayton, Murray K. | |
| dc.date | 2005-05-27 | |
| dc.date.accessioned | 2026-07-07T08:06:55Z | |
| dc.date.available | 2026-07-07T08:06:55Z | |
| dc.description | The goal of this paper is to describe the application of quasi-likelihood estimating equations for spatially correlated binary data. In this paper, a logistic function is used to model the marginal probability of binary responses in terms of parameters of interest. With mild assumptions on the correlations, the Leonov-Shiryaev formula combined with a comparison of characteristic functions can be used to establish asymptotic normality for linear combinations of the binary responses. The consistency and asymptotic normality for quasi-likelihood estimates can then be derived. By modeling spatial correlation with a variogram, we apply these asymptotic results to test independence of two spatially correlated binary outcomes and illustrate the concepts with a well-known example based on data from Lansing Woods. The comparison of generalized estimating equations and the proposed approach is also discussed. | |
| dc.description | Published at http://dx.doi.org/10.1214/009053605000000057 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/math/0505602 | |
| dc.identifier | http://arxiv.org/abs/math/0505602 | |
| dc.identifier | Annals of Statistics 2005, Vol. 33, No. 2, 542-555 | |
| dc.identifier | doi:10.1214/009053605000000057 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130773 | |
| dc.subject | Statistics Theory | |
| dc.subject | 62H11 (Primary) 62H12 (Secondary) | |
| dc.title | Analysis of binary spatial data by quasi-likelihood estimating equations | |
| dc.type | text |