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The FDA approach is computationally efficient because it transforms the estimation problem into a decomposable multiple regression problem.
For a sufficiently low penalty the method fully accounts for linkage disequilibrium and is therefore equivalent to the OLS estimator of the multiple regression problem using all SNPs jointly.
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The multi-task LASSO allows fitting multiple regression problems jointly enforcing the selected features to be the same across tasks.
Hence, the deconvolution problem is framed as a multiple linear regression problem and can be addressed with usual statistical methodology.
After checking the linear relationship between number of visits and other ordinal variables (age and number of health problems), multiple regression was performed in two stages to identify predictors of visit frequency.
As presented in Table 4, the hierarchical multiple regression analyses of internalizing problems for family-bereaved showed that the first step, gender and SES, explained 21%% (versus 7%% in non-bereaved); a significant part of the variance.
Artificial neutral network (ANN) has been proved to be suitable for regression problem with multiple features due to its complicated connection of variables and non-linear transformation through activation function [22].
To this end a dataset of 17 barbiturates as guests complexing to α- and β-cyclodextrins was examined and the results compared to that of Lopata et al (J. Pharm. Sci., 74, (1995)) who studied the same problem using multiple regression analysis.
The number of hatchery-produced fish returning to the hatchery increased over time (Fig. 2), but collinearity was below the threshold where it is typically considered a problem for multiple regression (VIF < 5; O'Brien 2007).
Other psychosocial subscales (e.g., 'psychological well-being') were not reduced in CSHCN with mental health problems in multiple regression models.
We had repeated measurements of several variables, and putting them into a single equation in the multiple regression analysis could have produced problems in estimation due to collinearity, as demonstrated in a similar kind of study including repeated BMI measurements by Gamborg et al. (57).
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