What question did this study set out to answer?

This work aims to clarify misunderstandings in interpreting OLS coefficient movements under heterogeneous treatment effects.

April 24, 2026Open Access

Heterogeneous Effects and the Interpretation of OLS Coefficient Movements

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This work aims to clarify misunderstandings in interpreting OLS coefficient movements under heterogeneous treatment effects.
Analyzed how changes in controls affect the average treatment effect estimates.
Derived an enhanced version of the omitted variables bias formula applicable under treatment effect heterogeneity.
Demonstrated that adding or removing controls alters the estimand, even with irrelevant controls.
Provided insights into how different specifications can yield misleading interpretations due to weighted averages.

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Implication

This note examines OLS coefficient interpretations and their implications in heterogeneous treatment effects, suggesting refinements to standard approaches.

Cite This Study

Felix Weinhardt (2026) studied this question.

synapsesocial.com/papers/69eb0b8d553a5433e34b52a4 https://doi.org/10.48462/opus4-6213

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Implication

This note examines OLS coefficient interpretations and their implications in heterogeneous treatment effects, suggesting refinements to standard approaches.

Heterogeneous Effects and the Interpretation of OLS Coefficient Movements

Key Points

Discussion

Implication

Cite This Study

Heterogeneous Effects and the Interpretation of OLS Coefficient Movements

Key Points

Discussion

Implication

Cite This Study

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