Unit-weighted Regression - Unit Weights

Unit Weights

Unit-weighted regression proceeds in three steps. First, predictors for the outcome of interest are selected; ideally, there should be good empirical or theoretical reasons for the selection. Second, continuous predictor variables are changed to Z scores. Third, the predictors are added together; the sum is called the variate. This variate is used as the predictor of the outcome, also expressed in z scores. The relationship of this variate to the outcome is assessed with the Pearson R correlation.

One small variation on unit-weighted regression is to make the weights not one, but one divided by the number of predictors. Thus, with three predictors, the weight of each variable is 1/3; with four predictors, the weight is 1/4; and so on. The value of this variation is that the variate is already in z score form.

A second variation occurs when predictors are binary. In this case, the predictors are scored as one (present) or zero (absent).

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