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Finite-Sample NonParametric Bounds with an Application to the Causal Effect of Workforce Gender Diversity on Firm Performance

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  • Grace Lordan
  • Kaveh Salehzadeh Nobari

Abstract

Classical Manski bounds identify average treatment effects under minimal assumptions but, in finite samples, they rely on latent outcome expectations being bounded by the sample's own extrema or known population bounds, an assumption often violated in firm-level data with heavy-tailed outcomes. We develop a finite-sample, concentration-driven confidence band (concATE) that replaces this requirement with a Dvoretzky-Kiefer-Wolfowitz tail bound, combines it with delta-method variance, and allocates size via a Bonferroni correction. The band extends to a group-sequential design that controls the family-wise error rate when the first "significant" diversity threshold is data-chosen. Applied to data on 901 listed firms (2015 Q2-2022 Q1), concATE shows that senior-level gender diversity has a significant positive effect on firm value (Tobin's Q) only after crossing substantial representation thresholds: in Growth & Innovation sectors the effect becomes statistically significant at the 5% level once women hold roughly 55% of senior leadership roles, whereas in Defensive sectors a significant impact appears only once female leadership reaches about 60%.

Suggested Citation

  • Grace Lordan & Kaveh Salehzadeh Nobari, 2025. "Finite-Sample NonParametric Bounds with an Application to the Causal Effect of Workforce Gender Diversity on Firm Performance," Papers 2509.01622, arXiv.org, revised Dec 2025.
    • Handle: RePEc:arx:papers:2509.01622
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    References listed on IDEAS

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    1. Manski, Charles F, 1990. "Nonparametric Bounds on Treatment Effects," American Economic Review, American Economic Association, vol. 80(2), pages 319-323, May.
    2. Mariateresa Torchia & Andrea Calabrò & Morten Huse, 2011. "Women Directors on Corporate Boards: From Tokenism to Critical Mass," Journal of Business Ethics, Springer, vol. 102(2), pages 299-317, August.
    3. Adams, Renée B. & Ferreira, Daniel, 2009. "Women in the boardroom and their impact on governance and performance," Journal of Financial Economics, Elsevier, vol. 94(2), pages 291-309, November.
    4. James Tobin & William C. Brainard, 1976. "Asset Markets and the Cost of Capital," Cowles Foundation Discussion Papers 427, Cowles Foundation for Research in Economics, Yale University.
    5. Horowitz, Joel L. & Manski, Charles F., 1998. "Censoring of outcomes and regressors due to survey nonresponse: Identification and estimation using weights and imputations," Journal of Econometrics, Elsevier, vol. 84(1), pages 37-58, May.
    6. Sander Hoogendoorn & Hessel Oosterbeek & Mirjam van Praag, 2013. "The Impact of Gender Diversity on the Performance of Business Teams: Evidence from a Field Experiment," Management Science, INFORMS, vol. 59(7), pages 1514-1528, July.
    7. Safiullah, Md & Akhter, Tanzina & Saona, Paolo & Azad, Md. Abul Kalam, 2022. "Gender diversity on corporate boards, firm performance, and risk-taking: New evidence from Spain," Journal of Behavioral and Experimental Finance, Elsevier, vol. 35(C).
    8. Joshua D. Angrist & Jörn-Steffen Pischke, 2009. "Mostly Harmless Econometrics: An Empiricist's Companion," Economics Books, Princeton University Press, edition 1, number 8769.
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