Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
134 tokens/sec
GPT-4o
9 tokens/sec
Gemini 2.5 Pro Pro
47 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

The Problem of Infra-marginality in Outcome Tests for Discrimination (1607.05376v5)

Published 19 Jul 2016 in stat.AP

Abstract: Outcome tests are a popular method for detecting bias in lending, hiring, and policing decisions. These tests operate by comparing the success rate of decisions across groups. For example, if loans made to minority applicants are observed to be repaid more often than loans made to whites, it suggests that only exceptionally qualified minorities are granted loans, indicating discrimination. Outcome tests, however, are known to suffer from the problem of infra-marginality: even absent discrimination, the repayment rates for minority and white loan recipients might differ if the two groups have different risk distributions. Thus, at least in theory, outcome tests can fail to accurately detect discrimination. We develop a new statistical test of discrimination---the threshold test---that mitigates the problem of infra-marginality by jointly estimating decision thresholds and risk distributions via a hierarchical Bayesian latent variable model. Applying our test to a dataset of 4.5 million police stops in North Carolina, we find that the problem of infra-marginality is more than a theoretical possibility, and can cause the outcome test to yield misleading results in practice.

Citations (172)

Summary

  • The paper critically examines outcome tests for discrimination, highlighting the infra-marginality problem and proposing a novel threshold test as a more accurate method.
  • The proposed threshold test uses a Bayesian model to estimate group-specific decision thresholds, empirically showing outcome tests can misinterpret discrimination, exemplified by findings in North Carolina traffic stops.
  • The findings have significant implications for policymakers and social scientists, offering a refined tool for bias assessment across various domains and suggesting future theoretical explorations in discrimination measurement.

Analyzing Discrimination in Outcome Tests: Insights from the Problem of Infra-marginality

The paper "The Problem of Infra-marginality in Outcome Tests for Discrimination" provides a critical examination of the efficacy and shortcomings of outcome tests when applied to the assessment of discrimination, with a particular focus on lending, hiring, and policing decisions. The authors address the limitations of traditional methods such as benchmarking and outcome tests, and propose a novel approach termed the threshold test to more accurately detect instances of discrimination while mitigating the problem of infra-marginality.

Traditional Approaches and Their Limitations

Outcome tests conventionally gauge discrimination by comparing the success rates of decisions across distinct demographic groups. By establishing that outcome discrepancies might not strictly indicate discrimination, the authors highlight the infra-marginality problem, wherein group-level differences in risk distributions can lead to skewed test results even in the absence of discriminatory practices. They demonstrate this through theoretical constructs and practical examples, underscoring the misleading nature of outcome tests in certain contexts.

The benchmarking test, another prevalent method, is similarly critiqued for its potential to misinterpret disparities as discrimination, largely due to the omitted variable bias that emerges when comparing rates of favorable outcomes across different racial or demographic groups without accounting for differences in qualifications or conditions.

The Proposed Threshold Test

In response to the identified limitations, the authors introduce the threshold test, which estimates group-specific decision thresholds alongside risk distributions to better capture the nuances of discrimination. This method utilizes a hierarchical Bayesian latent variable model that addresses the statistical underpinnings of infra-marginality by integrating decision thresholds into its analysis. By doing so, the threshold test provides a refined understanding of whether observed disparities are due to discriminatory thresholds or inherent group differences.

The threshold test is empirically validated through an analysis of 4.5 million traffic stops in North Carolina. Here, the authors reveal that outcome tests can mistakenly indicate discrimination against one group due to selective threshold effects, which their proposed method can correct. Their results notably suggest discrimination against black and Hispanic drivers, as demonstrated by lower search thresholds compared to whites.

Implications and Speculation on Future Research

The implications of these findings are substantial, offering a more nuanced tool for policymakers and social scientists. By addressing limitations of existing methods, the threshold test offers a pathway for more accurate assessments that can inform policies and interventions aimed at mitigating bias. Theoretically, the framework provided by the threshold test could precipitate a broader discourse on integrating decision-making thresholds into analyses of discrimination across diverse domains such as financial services, healthcare, and criminal justice.

Looking forward, the paper advocates for comprehensive investigations into the threshold test's broader applicability and its potential to provide clarity in other complex discrimination settings. Additionally, the paper's approach can serve as a catalyst for further theoretical exploration of discrimination measurement, transcending beyond traditional statistical evaluations to encompass more complex, multivariate conditions that reflect real-world decision-making processes.

In conclusion, the paper offers a significant contribution to the methodology of discrimination detection, presenting a well-founded argument for the need to evolve beyond traditional testing methods. The threshold test resolves limitations associated with infra-marginality, positioning it as a pivotal tool for future discrimination studies.

X Twitter Logo Streamline Icon: https://streamlinehq.com
Youtube Logo Streamline Icon: https://streamlinehq.com