Kees Jan van Garderen, Noud van Giersbergen
arXiv 21 Dec 2020 · Econometrics · publishedThe Review of Economics and Statistics (2024) · 4 citations (OpenAlex)
arXiv:2012.11342 · PDF · DOI · OpenAlex · Extracted main text
This paper derives a new powerful test for mediation that is easy to use. Testing for mediation is empirically very important in psychology, sociology, medicine, economics and business, generating over 100,000 citations to a single key paper. The no-mediation hypothesis $H_{0}:\theta_{1}\theta _{2}=0$ also poses a theoretically interesting statistical problem since it defines a manifold that is non-regular in the origin where rejection probabilities of standard tests are extremely low. We prove that a similar test for mediation only exists if the size is the reciprocal of an integer. It is unique, but has objectionable properties. We propose a new test that is nearly similar with power close to the envelope without these abject properties and is easy to use in practice. Construction uses the general varying $g$-method that we propose. We illustrate the results in an educational setting with gender role beliefs and in a trade union sentiment application.
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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 | Perlman, M. D. and L. Wu (1999) The emperor's new tests | 1.000 | 5 | 3 | 100% |
| 2 | Alan, S., S. Ertac, and I. Mumcu (2018) Gender stereotypes in the classroom and effects on achievement | 0.874 | 7 | 2 | 100% |
| 3 | Hillier, G. H., K. J. Van Garderen, and N. P. A. Van Giersbergen (2021) Improved tests for mediation self | 0.843 | 4 | 3 | 75% |
| 4 | MacKinnon, D. P., C. M. Lockwood, J. M. Hoffman, S. G. West, and V.… (2002) A comparison of methods to test mediation and other intervening variable effects | 0.811 | 4 | 2 | 100% |
| 5 | Lehmann, E. L. and J. P. Romano (2005) Testing statistical hypotheses\/ (3 ed.) | 0.644 | 2 | 2 | 100% |
| 6 | Sobel, M. E (1982) Asymptotic confidence intervals for indirect effects in structural equation models | 0.644 | 2 | 2 | 100% |
| 7 | Bezanson, J., A. Edelman, S. Karpinski, and V. B. Shah (2017) Julia: A fresh approach to numerical computing | 0.511 | 2 | 2 | 50% |
| 8 | Vaughan, R. J. and W. N. Venables (1972) Permanent expressions for order statistic densities | 0.511 | 2 | 2 | 50% |
| 9 | Dufour, J.-M., E. Renault, and V. Zinde-Walsh (2017) Wald tests when restrictions are locally singular | 0.511 | 2 | 1 | 100% |
| 10 | Van Garderen, K. J (1997) Curved exponential models in econometrics | 0.405 | 2 | 1 | 50% |
Showing the top 10 of 42 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | Inference under First-Order Degeneracy | 1.000 | 8 | 4 |
| 2 | Improved Tests for Mediation | 0.843 | 3 | 3 |
| 3 | Testing Sign Congruence Between Two Parameters | 0.405 | 1 | 1 |
| 4 | Moderating the Mediation Bootstrap for Causal Inference | 0.405 | 1 | 1 |