Bryan S. Graham, Andrin Pelican
arXiv 31 Jul 2019 · Statistics — Methodology · 2 citations (OpenAlex)
arXiv:1908.00099 · PDF · DOI · OpenAlex · Extracted main text
We discuss a simplified version of the testing problem considered by Pelican and Graham (2019): testing for interdependencies in preferences over links among N (possibly heterogeneous) agents in a network. We describe an exact test which conditions on a sufficient statistic for the nuisance parameter characterizing any agent-level heterogeneity. Employing an algorithm due to Blitzstein and Diaconis (2011), we show how to simulate the null distribution of the test statistic in order to estimate critical values and/or p-values. We illustrate our methods using the Nyakatoke risk-sharing network. We find that the transitivity of the Nyakatoke network far exceeds what can be explained by degree heterogeneity across households alone.
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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 | Blitzstein, J. & Diaconis, P (2011) A sequential importance sampling algorithm for generating random graphs with prescribed degrees | 1.000 | 11 | 3 | 100% |
| 2 | Pelican, A. & Graham, B. S (2019) Testing for strategic interaction in social and economic network formation self | 1.000 | 8 | 3 | 100% |
| 3 | De Weerdt, J (2004) Insurance Against Poverty, chapter Risk-sharing and endogenous network formation, (pp.\ 197 – 216) | 0.874 | 6 | 2 | 100% |
| 4 | Cox, D. R (2006) Principles of Statistical Inference | 0.644 | 2 | 2 | 100% |
| 5 | Graham, B. S (2017) An econometric model of network formation with degree heterogeneity self | 0.644 | 2 | 2 | 100% |
| 6 | Jackson, M. O., Rodriguez-Barraquer, T., & Tan, X (2012) Social capital and social quilts: network patterns of favor exchange | 0.644 | 2 | 2 | 100% |
| 7 | Bloch, F. & Jackson, M. O (2007) The formation of networks with transfers among players | 0.511 | 2 | 1 | 100% |
| 8 | Chatterjee, S., Diaconis, P., & Sly, A (2011) Random graphs with a given degree sequence | 0.511 | 2 | 1 | 100% |
| 9 | Snijders, T. A. B (1991) Enumeration and simulation methods for 0-1 matrices with given marginals | 0.511 | 2 | 1 | 100% |
| 10 | Tarski, A (1955) A lattice-theoretical fixpoint theorem and its applications | 0.511 | 2 | 1 | 100% |
Showing the top 10 of 31 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | A Pairwise Strategic Network Formation Model with Group Heterogeneity: With an Application to International Travel | 0.405 | 1 | 1 |