Title | Computations for the familial analysis of binary traits |
Publication Type | Journal Article |
Year of Publication | 2005 |
Authors | Joe, H, Latif, AHMM |
Journal | Computational Statistics |
Volume | 20 |
Pagination | 439-448 |
ISSN | 0943-4062 |
Abstract | For familial aggregation of a binary trait, one method that has been used is the GEE2 (generalized estimating equation) method corresponding to a multivariate logit model. We solve the complex estimating equations for the GEE2 method using an automatic differentiation software which computes the derivatives of a function numerically using the chain rule of the calculus repeatedly on the elementary operations of the function. Based on this, we are able to show in a simulation study that the GEE2 estimates are quite close to the maximum likelihood estimates assuming a multivariate logit model, and that the GEE2 method is computationally faster when the dimension or family size is larger than four. |
DOI | 10.1007/BF02741307 |