Robin M. Cross, Steven T. Buccola
arXiv 27 Feb 2024 · Econometrics
arXiv:2402.17103 · PDF · DOI · OpenAlex · Extracted main text
This paper incorporates information about the temporal order of regressors to estimate orthogonal and economically interpretable regression coefficients. We establish new finite sample properties for the Gram-Schmidt orthogonalization process. Coefficients are unbiased and stable with lower standard errors than those from Ordinary Least Squares. We provide conditions under which coefficients represent average total treatment effects on the treated and extend the model to groups of ordered and simultaneous regressors. Finally, we reanalyze two studies that controlled for temporally ordered and collinear characteristics, including race, education, and income. The new approach expands Bohren et al.'s decomposition of systemic discrimination into channel-specific effects and improves significance levels.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Soczyński, T (2022) Interpreting OLS Estimands When Treatment Effects Are Heterogeneous: Smaller Groups Get Larger Weights | 1.000 | 10 | 3 | 100% |
| 2 | Pearl, J (2000) Causality: Models, Reasoning, and Inference | 1.000 | 5 | 3 | 100% |
| 3 | Wright, S (1934) The Method of Path Coefficients | 1.000 | 5 | 3 | 100% |
| 4 | Lubotsky, D., and M. Wittenberg (2006) Interpretation of Regressions with Multiple Proxies | 0.874 | 7 | 2 | 100% |
| 5 | Angrist, J.D., and J.S. Pischke (2009) Mostly Harmless Econometrics: An Empiricist's Companion | 0.874 | 5 | 2 | 100% |
| 6 | Bohren, J.A., P. Hull, and A. Imas (2023) Systemic Discrimination: Theory and Measurement | 0.811 | 4 | 2 | 100% |
| 7 | Pearl, J (2001) Direct and Indirect Effects | 0.811 | 4 | 2 | 100% |
| 8 | Imbens, G.W. and J.D. Agrist (1994) Identification and Estimation of Local Average Treatment Effects | 0.737 | 3 | 2 | 100% |
| 9 | Wong, Y.K (1935) An Application of Orthogonalization Process to the Theory of Least Squares | 0.737 | 3 | 2 | 100% |
| 10 | Wold, H.O.A (1963) Forecasting by the chain principal | 0.693 | 5 | 1 | 100% |
Showing the top 10 of 121 scored citations.