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The aim of this paper is to identify the E-optimal complete block designs under the interference model with neighbor effects over such classes of designs.
In the experiments in which the response to a treatment can be affected by other treatments, the interference model with neighbor effects is usually applied.
In experiments in which the response to a treatment can be affected by other treatments, the interference model with neighbor effects is usually used.
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Fig. 1 Graphical phylogenetic tree of halopalkaliphilic Streptomyces spp. AJ8 based on 16S rRNA gene sequence data compare with other Streptomyces spp. The tree was constructed using the HKY genetic distance model with neighbor-joining method.
In order to evaluate the proposed method in this paper, we chosen three representative methods for comparison: chemical substructures and protein domains correlation model (CS-PD) [ 23], bipartite local model with neighbor-based interaction-profile inferring (BLM-NII) [ 11] and random forest (RF) [ 15].
This paper generalizes Druilhet's results on optimality of circular neighbor balanced block designs under the model with fixed neighbor effects.
It is shown that some of these designs are also optimal under the model with random neighbor effects.
Filipiak et al. (2008) gave the structure of the left-neighboring matrix of E-optimal complete block designs with p=1 under the model with fixed neighbor effects.
2, the most general reaction diffusion model with nearest neighbor interactions on a Cayley tree is studied, which can be solved exactly through EIM.
An exact solution is provided for a discrete analog of each of the two Sommerfeld diffraction problems using a triangular lattice model, with nearest neighbor interactions, deforming in the anti-plane direction.
The method is demonstrated by application to two representative problems of strongly-correlated quantum many-body physics, the spinless fermion model with nearest neighbor repulsion and the drosophila of solid state physicists: the Hubbard model with a local Coulomb repulsion.
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