In Section 2, by a dependent variable transformation, system (2) is transformed into a bilinear equation.
Once nonlinear equations are written in bilinear forms by a dependent variable transformations, then multisoliton solutions and rational solutions can be obtained.
Generally, in logistic regression, the spatial prediction is modeled by a dependent variable and independent variables (Shirzadi et al. 2012) and it is useful when the dependent variable is binary or dichotomous.
Clinical predictors were identified using backward stepwise logistic regression with infection confirmed by laboratory as a dependent variable, and all clinical data as independent variables.
The goal is to enhance autonomous motivation, leading to increased learner and faculty engagement; thus, using the framework of Kusurkar et al. [ 46], motivation is by turn both a dependent variable, i.e., a desired outcome of our recommendations, and an independent variable, i.e., producing the ultimate desired outcomes of engagement, morale, and productivity [ 47].
The relationship between anal HPV infection and age was negative (decreasing) both by linear regression (using age as a dependent variable) and by logistic regression.
For instance, Girosi and King (2008) and King and Soneji (2011) use Bayesian inference to forecast age-specific mortality (by cause of death) as a dependent variable that is influenced by multiple explanatory variables like sex, location, and GDP.
The G matrix was produced by adjustment of mean homozygosity by regressing MM T as a dependent variable on A as an independent variable to obtain G, as MM T = go 11 T + g1 A + e, where go is the intercept, g1 is the slope of the regression model, and e includes differences between the true value and the expected fraction of alleles shared in common.
We also examined the association between home death and medical service factors by multiple regression analysis, using home death rate by prefectures in 2002 as a dependent variable.
The inference of epistasis depends upon the scale of measurement in a way that interaction effects can be reduced or eliminated by non-linear monotonic transformations of a dependent variable [ 41], so also by some rank-based transformations.
The method ranks attributes by importance with respect to a dependent variable, here crossethnic (the percentage of cross-ethnic marriages) as shown in Fig. 4 (left).
