Random Forest Regression Residuals and the Regression Gini Index

Richard J. Butler, Matthew J. Butler and Barbara L. Wilson

Chapter 20 in Advanced Statistics for Health Research, 2023, pp 333-369 from World Scientific Publishing Co. Pte. Ltd.

Abstract: In this chapter, we pull together some of the strands of research in the last few chapters of Advanced Statistics by merging CPS employment surveys with CDC data on state-specific, month-by-month COVID-19 cases to estimate wage-offer equations since January 2020 for female nurses until September 2021, which we compare to the wage-offer distributions for males across all occupations. We estimate OLS models, 2SLS models, and Random Forest Residuals Regression (RFRR) analysis in our female–male analyses. We find that the machine learning nature of RFRR provides the most feasible results in terms of linear fit and identification of the wage-offer functions for our sample. Relative to all males working, gender inequality against nurses declined over the period. RFRR indicates that female nurse wage inequality fell by 10%.

Keywords: Nursing; Physician; Healthcare; Public Health; Regression; Orthogonal Projection; Geometric View of Causal Inference; 2SLS; Two-Stage Least Squares; Instrumental Variables; Probits; Logits; Proportional Hazards; Cox Regressions; Quantile Regression; Random Forest Regression; Randomization; Matching; Propensity-Score; Differences-in-Differences; Regression Discontinuity; Fixed Effects; R; SAS; STATA; Research Examples; Empirical Rule; Applied Statistics; Confidence Intervals; VIF; Standard Beta; Histograms; Scatterplots; Regression Gini Index; COVID-19; Gender Wage Differentials; LASSO; Area Under The Curve; AUC; ROC; Decision Trees; Maximum Likelihood; GMM; Data Generating Process; Split Sample Instrumental Variables; Local Average Treatment Effects (LATE); Data Visualization; Omitted Variable Bias; Simultaneous Equations; Measurement Error; Supervised Machine Learning; Panel Data; RGI; Health Professionals (search for similar items in EconPapers)
JEL-codes: C1 I11 I15 (search for similar items in EconPapers)
Date: 2023
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