Index: Simoiu 2017 - Infra-Marginality and the Threshold Test

Simoiu 2017 - Infra-Marginality and the Threshold Test

Routing Summary

This folder captures Simoiu, Corbett-Davies and Goel (2017), The problem of infra-marginality in outcome tests for discrimination (Ann. Appl. Stat.; arXiv:1607.05376v5). 6 notes.

• Whole paper map and key result? → Simoiu 2017 - Infra-Marginality and the Threshold Test - Overview
• Need benchmark vs outcome test, infra-marginality and Figure 1? → Simoiu 2017 - Benchmark and Outcome Tests and the Infra-Marginality Problem
• Need the generative model, priors, Eq. 3 likelihood and parameter counting? → Simoiu 2017 - Threshold Test Generative Model
• Need North Carolina data, Tables 1-2, Raleigh? → Simoiu 2017 - North Carolina Traffic Stops and the Three Tests
• Need posterior predictive, heterogeneity, placebo tests? → Simoiu 2017 - Model Checks Robustness and Placebo Tests
• Need limitations, extensions, identification ridge (E110)? → Simoiu 2017 - Limitations Extensions and Identification Ridge

Concept Map

Concept	Note	Type	Depends On	Key Result
Threshold model of search	Simoiu 2017 - Benchmark and Outcome Tests and the Infra-Marginality Problem	definition	-	search iff signal above threshold
Infra-marginality	Simoiu 2017 - Benchmark and Outcome Tests and the Infra-Marginality Problem	theorem	threshold model	same search/hit rates, opposite thresholds
Generative model and priors	Simoiu 2017 - Threshold Test Generative Model	definition	threshold model	beta signal, additive logit/log structure
Sufficient-statistic likelihood	Simoiu 2017 - Threshold Test Generative Model	theorem	generative model	binomial with $q=\varphi (1-I(\mu ,\lambda +1))/(1-I(\varphi ,\lambda ))$
NC results	Simoiu 2017 - North Carolina Traffic Stops and the Three Tests	example	likelihood	thresholds W 15%, B 7%, H 6%, A 13%
Robustness and placebo	Simoiu 2017 - Model Checks Robustness and Placebo Tests	concept	NC results	gap stable to heterogeneity and subsets
Identification ridge	Simoiu 2017 - Limitations Extensions and Identification Ridge	theorem	counting	levels weak, gaps strong (E110)

Notes

• Simoiu 2017 - Infra-Marginality and the Threshold Test - Overview — CONTAINS: question, method, key results, Source Map, E110 link.
• Simoiu 2017 - Benchmark and Outcome Tests and the Infra-Marginality Problem — CONTAINS: benchmark and outcome tests, related work, Figure 1 reproduced.
• Simoiu 2017 - Threshold Test Generative Model — CONTAINS: model, priors, Eq. 3 with proof, parameter counting, PyMC sketch.
• Simoiu 2017 - North Carolina Traffic Stops and the Three Tests — CONTAINS: data, Tables 1-2, Raleigh example.
• Simoiu 2017 - Model Checks Robustness and Placebo Tests — CONTAINS: posterior predictive, heterogeneity, omitted variables, search type, placebo.
• Simoiu 2017 - Limitations Extensions and Identification Ridge — CONTAINS: limitations, extensions, identification ridge.

Sources

• Simoiu 2017 - The Problem of Infra-Marginality in Outcome Tests for Discrimination - Simoiu C, Corbett-Davies S, Goel S (2017), arXiv:1607.05376v5, 21 pages.

See Also

• Hierarchical Models, Posterior Predictive Checking, Type S and Type M Errors
• Wiecki 2013 - another latent-threshold model