We computed Spearman's correlations for each pair of variables and found that all were within acceptable limits (r s <0.53); therefore, we decided to employ all variables as independent variables for logistic regression (data not shown).
The key idea is to employ a variable order spherical harmonic expansion for angular discretization based on the proximity to the source and the local scattering coefficient.
Existing model libraries of ProcessBuilder were adapted to employ the Variable Molecular Structure Compound feature (VMSC) of gSAFT during process optimization.
A recent advance is that these models now have the ability to employ spatially variable hydrological and erosion parameters, the spatial distribution of soil particle size at user defined soil depths as well as several different flow direction algorithms.
19 However, in these works and other magnetoelectric studies, it is typically necessary to employ a variable magnetic field, either to repeatedly drive electrically nucleated magnetization reversal, 12 or to interrogate changes of anisotropy, 16, 19, 20 exchange bias, 21 or coercivity.
We tried to employ instrumental variables but failed to identify valid orthogonal variables.
In order to employ instrumental variables estimation in this framework, two-stage residual inclusion (2SRI) was used.
We employed variable length bootstrap analysis to investigate the minimum length required to obtain robust phylogenetic inference for this group.
This study was designed to integrate three available statistical technologies (instrumental variables, residual inclusion, and shrinkage) to allow sleep investigators to employ data on variable adherence in the estimation of the causal effect of treatment as received on clinical outcomes.
Second, within a given taxonomic group, studies employed variable methodologies and sampling areas in pursuit of richness and turnover estimates.
