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The use of Garson method in this work reveals that the NO (ANN predicted) concentration, relative humidity, and air temperature are the best important variables in NO2 and NO x concentration prediction (Fig. 6).
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Principal component analysis (PCA) finds the best linear combinations of important variables at baseline.
We accounted for all the important variables to the best of our capability with the given data.
Mediation assumes no unmeasured variables and despite accounting for all the important variables to the best of our capability with the given data, residual confounding is possible.
We ran 5000 trees within each random forest run, removing the least important variables after each run until we identified the "best" model ("best" was defined as the model with the highest OOB, or out of bag, variance explained).
Backward elimination is possibly the best of the above methods for identifying the important variables, and it allows one to examine the full model, which is the only fit providing accurate standard errors and P-values Harrelll, 2001).
The lasso technique will be used to choose the best set of predictor variables from an initially large set of potentially important variables [ 37].
Despite robust analyses and adjustment for important variables, we acknowledge that a randomized study would have the best design.
The machine learning methods with the best performance were then used in a second stage to select a subset of important variables to develop models with performance comparable to that using the entire dataset.
Third, in our study we used relative risk estimation and CRT methods together in order to obtain important variables for the differential diagnosis process and relative risk coefficient to achieve the best results.
As can be seen from the tables, the best performance model and the best averaged model is ENET in this case, keeping on average 8.8 variables from the data including the two important variables (∆Hc, χc) selected in the original publication.
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