arXiv 2 Mar 2021 · Econometrics
arXiv:2103.01412 · PDF · DOI · OpenAlex · Extracted main text
This paper contains two finite-sample results concerning the sign test. First, we show that the sign-test is unbiased with independent, non-identically distributed data for both one-sided and two-sided hypotheses. The proof for the two-sided case is based on a novel argument that relates the derivatives of the power function to a regular bipartite graph. Unbiasedness then follows from the existence of perfect matchings on such graphs. Second, we provide a simple theoretical counterexample to show that the sign test over-rejects when the data exhibits correlation. Our results can be useful for understanding the properties of approximate randomization tests in settings with few clusters.
appendix boundary found by appendix_command · 47% of the source is main text. Read the extracted text to check this.
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 | Lehmann, E. and J. P. Romano (2005) Testing Statistical Hypotheses | 0.811 | 4 | 2 | 100% |
| 2 | Hoeffding, W (1952) The Large-Sample Power of Tests Based on Permutations of Observations | 0.737 | 3 | 2 | 100% |
| 3 | Bugni, F. A. and I. A. Canay (2021) Testing continuity of a density via g-order statistics in the regression discontinuity design | 0.511 | 2 | 1 | 100% |
| 4 | Canay, I. A., J. P. Romano, and A. M. Shaikh (2017) Randomization Tests under an Approximate Symmetry Assumption | 0.511 | 2 | 1 | 100% |
| 5 | Athey, S. and G. W. Imbens (2017) The State of Applied Econometrics: Causality and Policy Evaluation | 0.405 | 1 | 1 | 100% |
| 6 | Bertrand, M., E. Duflo, and M. Sendhil (2004) How Much Should We Trust Differences-in-Differences Estimates? | 0.405 | 1 | 1 | 100% |
| 7 | Cai, Y (2023) A modified randomization test for the level of clustering self | 0.405 | 1 | 1 | 100% |
| 8 | Canay, I. A. and V. Kamat (2018) Approximate permutation tests and induced order statistics in the regression discontinuity design | 0.405 | 1 | 1 | 100% |
| 9 | Cameron, A. C., J. B. Gelbach, and D. L. Miller (2008) Bootstrap-Based Improvements for Inference with Clustered Errors | 0.405 | 1 | 1 | 100% |
| 10 | Corrado, C. J. and T. L. Zivney (1992) The specification and power of the sign test in event study hypothesis tests using daily stock returns | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 15 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | Combining Clusters for the Approximate Randomization Test | 0.405 | 1 | 1 |