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Reanalysis of "Competition and Innovation: An Inverted-U Relationship"

by Andrew Gelman

Submission summary

Authors (as registered SciPost users): Andrew Gelman
Submission information
Preprint Link: scipost_202510_00058v3  (pdf)
Date submitted: Dec. 16, 2025, 1:48 a.m.
Submitted by: Andrew Gelman
Submitted to: Journal of Robustness Reports
Ontological classification
Academic field: Multidisciplinary
Specialties:
  • Other
Approach: Computational

Abstract

The inverted U held up in reanalysis, but the result is sensitive to the assumption of a common curve for all industries.

Author comments upon resubmission

Thank you for the comments. I revised the paper accordingly.

List of changes

I revised the paper as follows: 1. I explained the way in which the quadratic and nonparametric curves in the original paper do not fit the data. 2. I changed the log(1+y) model to sqrt(y), a standard variance-stabilization transformation for count data. 3. I reduced the discussion of the measurement issues and made it clear that I do not address them in my reanalysis. 4. I have emphasized that the result relies on an assumption that was in the original paper and also in my reanalysis, an assumption of a common curve across industries. 5. I have given more details about the priors in the Bayesian model.

Current status:
Refereeing in preparation

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