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Another supposition used for our disease haplotype association estimation is a model of multiplicative penetrance.
In our data, a model of multiplicative penetrance could not be rejected.
Since, for small π the logit link is nearly the same as the log link, from this standpoint absence of epistasis corresponds to the model of multiplicative effects precisely the model used by Risch as a model for epistatic action.
bThe odds ratios (ORs) and CIs for two copies versus none are not shown because under a model of multiplicative penetrance the OR for two copies versus none is the square of the OR for one copy versus none.
Under a model of multiplicative penetrance, the OR for carrying two copies of the haplotype compared with none is the square of the estimates for carrying one copy of the haplotype compared with carrying no copy.
A likelihood ratio test did not give evidence against a model of multiplicative penetrance (we compared the goodness of fit of the multiplicative penetrance model to the goodness of fit of a model that specifies an individual risk for each unique haplotype pair).
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Both the analytical derivation and the numerical procedure based on the connection relations yield equal results compared to standard methods, which highlights the applicability of the presented concept for the development of models of multiplicative inelasticity at large strains.
For each of these stratifications we examined for interaction via the inclusion in our models of multiplicative interaction terms, and the use of likelihood ratio tests between models with and without them.
This article introduces a concept to material modelling within the framework of multiplicative decomposition of the deformation gradient.
Even earlier, evolution of gene families has been modeled within the distinct mathematical framework of multiplicative processes [ 52].
We are no longer limited by the logistic model's constraint of multiplicative interaction estimation.
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