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Licensed Unlicensed Requires Authentication Published online by De Gruyter August 22, 2023

Statistical versus Economic Significance in Accounting: A Reality Check

  • Jeremy Bertomeu EMAIL logo

Abstract

Empirical research is ripe for a reality check, as elegantly put by the “elephants in the room” (Ohlson, 2022a. Empirical accounting seminars: Elephants in the room. Accounting, Economics, and Law: Convivium.) referring to practices to disguise false positives with the aid of statistical engineering. However, the diagnosis points to a deeper problem. The dominant empirical paradigm combines extraordinarily vague hypotheses with ridiculously high desired levels of statistical confidence beatable solely with econometric hacks. Instead, I argue that economic magnitudes measure meaningful theoretical constructs and require far less than conventional significance levels for measurements of sufficient importance. Precisely estimating that an effect is close to zero can be more meaningful than a noisy but significant coefficient. I make several actionable proposals: (1) report standard errors rather than conventional statistical significance (stars) or t-stats, (2) discuss target significance levels likely to change priors and could much higher than weak significance for unsettled questions, (3) report precisely estimated zeros and power analyses, and (4) anchor empirical design on formal theory justified with precise references or structural models.

JEL Classification: C01; A1; A2

Corresponding author: Jeremy Bertomeu, Associate Professor, Olin Business School, Washington University in St Louis, One Brookings Drive St. Louis, St. Louis, MO 63130-4899, USA, E-mail:
I thank John Barrios, Yuri Biondi (the editor), Edwige Cheynel, Mark DeFond, Rich Frankel, Urooj Khan, Iván Marinovic, Jim Ohlson, and two anonymous reviewers for many valuable insights. I would especially like to express my debt to the late Rick Green for his unwavering dedication to nurturing the curiosity of generations of students and whose enduring legacy profoundly affected my perspective.

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Received: 2023-01-05
Accepted: 2023-07-24
Published Online: 2023-08-22

© 2023 CONVIVIUM, association loi de 1901

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