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We therefore considered alternative econometric models that relax the IID/IIA restriction.
More realistic models, that relax one of more of the above assumptions, have been constructed, but they are invariably much harder to analyze.
Various substitution models that relax the assumption of the strict molecular clock have been developed to account for rate heterogeneity between lineages in molecular phylogenetics (e.g., Thorne et al. 1998; Sanderson 2002; Drummond et al. 2006).
A different approach to account for interactions would be to use a class of models that relax the linearity assumption and impose very little structural constraints on the relationship between x i and y ik.
However more complex models may be needed to fit long-term VL data, such as models that relax the assumption of constant target cells and/or account for the emergence of treatment resistant viruses [ 28, 29].
Future analyses should explore the added value of discrete choice models that relax the assumption of taste homogeneity (e.g. mixed logit and latent class model) by allowing for random taste variation.
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In this paper, we show that the underlying reason for this phenomenon is that RE implicitly assumes a markedly conservative null-hypothesis model, and we present a new random-effects model that relaxes the conservative assumption.
Robustness of the resulting inferences were verified by considering a second model that used empirical standard errors known to be less sensitive to the chosen covariance structure of the repeated measures (Venables and Ripley 1994), as well as a third model that relaxed the first-order auto regressive assumption with a less restrictive banded Toeplitz structure of order 10.
Epidemiology is in need of more powerful modeling approaches that relax model assumptions and allow for more empiric investigations of large scale, joint biologic, social, and genetic datasets.
We report the sensitivity and specificity estimates from: (1) the 7-parameter LCA model without relaxation of the conditional independence assumption and (2) the 10-parameter model that relaxes the conditional independence assumption by allowing estimation of direct effects among the three pairs of indicator variables.
Subsequently we present an alternative evolutionary model that relaxes the assumption of equal carrying capacities and again show that replacement of cooperators by cheats is not the most common outcome of evolution.
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Justyna Jupowicz-Kozak
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