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Using RRR, we identified a food pattern maximizing the explained variation in PAI-1 and fibrinogen.
In simpler terms, RRR extracts food pattern scores while concurrently maximizing the explained variation in a set of response variables.
Using reduced rank regression, we identified a food pattern maximizing the explained variation in PAI-1 and fibrinogen.
In the end, the model with seven factors was the most stable (e.g. converging in a reasonable number of iterations, identifying factors which make sense in the context of the social ecology theoretical framework and maximizing the explained variance), and also captured a coherent picture of dimensions of social vulnerability in which the loading of individual variables made sense.
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The first Principal Component of the standardized variables (parameters) maximizes the explained variance and therefore, its eigenvector furnishes the weights that maximize Cronbach's Alpha.
To calculate "attractiveness," a latent construct, the correlation matrix of a previous study [12] was used in a principal component analysis [24], where a linear combination of three indicators of attractiveness was identified to maximize the explained variance.
Contrary to covariance-based SEM which minimizes the difference in covariance between the actual data and the values predicted by the model, PLS-SEM attempts to maximize the explained variance within latent constructs iteratively using a series of OLS regressions (Hair et al. 2011; Monecke and Leisch 2012).
Variable inclusion in the biplots was adjusted to maximize the explained variance.
All covariates were tested by stepwise inclusion into or exclusion from the model to maximize the explained variance of the dependent variable by the model (R-squared test).
PLS regression reduces the original set of predictor variables to a smaller number of latent variables that maximizes the explained variance in the dependent variable.
RRR determines factors from food intake data that maximize the explained variation in an intermediate marker that is hypothesized to be related to the health outcome.
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