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Reports (Research Report) Year : 2006

Multivariate dynamic model for ordinal outcomes


Individual or stand-level biomass is not easy to measure. The current methods employed, based on cutting down a representative sample of plantations, make it possible to assess the biomasses for various compartments (bark, dead branches, leaves, . . .). However, this felling makes individual longitudinal follow-up impossible. In this context, we propose a method to evaluate individual biomasses by compartments when these biomasses are taken as ordinals. Biomass is measured visually and observations are therefore not destructive. The technique is based on a probit model redefined in terms of latent variables. A generalization of the univariate case to the multivariate case is then natural and takes into account the dependency between compartment biomasses. These models are then extended to the longitudinal case by developing a Dynamic Multivariate Ordinal Probit Model. The performance of the MCMC algorithm used for the estimation is illustrated by means of simulations built from known biomass models. The quality of the estimates and the impact of certain parameters, are then discussed.
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Dates and versions

inria-00105565 , version 1 (11-10-2006)
inria-00105565 , version 2 (16-10-2006)


  • HAL Id : inria-00105565 , version 2


Florence Chaubert, Frédéric Mortier, Laurent Saint André. Multivariate dynamic model for ordinal outcomes. [Research Report] RR-5999, INRIA. 2006. ⟨inria-00105565v2⟩
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