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. 2021 Oct 29;18(21):11398. doi: 10.3390/ijerph182111398

Table 2.

GLM scenario comparison.

Scenario 1 Poisson Regression Lasso Poisson Regression
AIC BIC AIC BIC
Scenario 1: main effects, no interaction terms 39,548 39,593 39,559 39,612
Scenario 2: main effects, top significant two-way interaction identified by CTree analysis 39,531 39,592 39,559 39,627
Scenario 3: main effects, all significant two-way interactions identified by CTree analysis 39,525 39,601 39,563 39,608
Scenario 4: main effects, all significant two- and three-way interactions identified by CTree analysis 39,520 39,618 39,544 39,604

Abbreviations: AIC, Akaike information criterion; BIC, Bayesian information criterion; CTree, conditional tree; GLM, generalized linear model. 1 Refer to text for complete description of each scenario. The final GLM model that we applied is described in Equation (3): Y = Exp(0.0916 + β1Race + β2MaxDailyPM2.5Exposure_StudyMax_cat + β3(Prednisone * Race) + β4ObesityDx) (3), where Y = predicted annual number of ED or inpatient visits for respiratory issues; β1 = estimated model parameters for Race; β2 = estimated model parameters for MaximumDailyPM2.5Exposure_StudyMax; β3 = estimated model parameters for interaction between Prednisone and Race; and β4 = estimated model parameters for ObesityDx. Bold font was used to highlight the metrics that were used to select the final model.