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University of Michigan · Ross School of Business

Equity Analytics

A framework for identifying, measuring, and addressing organizational disparity — not through advocacy, but through analytical rigor. ES 616, taught by Professor Chris Rider at Michigan Ross.

Dimension 1 — The Process

Allocations (matching people to opportunity — jobs, projects, mentors, resources) vs. Valuations (evaluating & rewarding contributions — ratings, pay, callbacks)

Dimension 2 — The Behavior

Differential Treatment (≠ behaviors → ≠ outcomes: identity-contingent decisions) vs. Disparate Impact (= behaviors → ≠ outcomes: neutral rules, correlated inputs)

The 2×2 Framework

Click any cell to explore its mechanisms, case evidence, detection methods, and solutions.

Differential Treatment
Disparate Impact
Allocations

Differential Allocations

People are sorted into different opportunities based on identity — different behaviors produce different outcomes in who gets what role, project, or resource.

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Disparate Allocations

Neutral assignment rules produce unequal access to opportunity because inputs are correlated with identity through prior structural processes.

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Valuations

Differential Valuations

The same performance or contribution is evaluated, rated, or rewarded differently depending on the identity of the contributor.

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Disparate Valuations

Neutral evaluation criteria produce unequal rewards because the criteria themselves encode structural disadvantage through correlated inputs.

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The Equity Analytics Workflow

A seven-step standard operating procedure for moving from raw data to defensible inference

1

Define

Who are the groups? What is the outcome? Where does this question sit in the 2×2 matrix?

2

Describe

Compute group means and rates. Disaggregate. Look at distributions, not just averages.

3

Brainstorm DGPs

List ≥3 plausible data-generating processes. Write down what the naysayer would say.

4

Test

Is the gap statistically significant? Chi-square for categorical outcomes; t-test for continuous.

5

Compare

Design comparisons that rule out alternative DGPs. Condition on observables. Trace the process.

6

Infer

Which DGP is most consistent with the full pattern of evidence?

7

Prescribe

Match the intervention to the mechanism. Behavioral fix for differential treatment; structural fix for disparate impact.

Core Analytical Principles

Recurring maxims from the Equity Analytics framework

"Explained ≠ Justified"
Statistical explanation and normative justification are entirely different operations. Controlling for rank, job, or experience explains variance — it does not endorse the processes that generated those distributions. The gap that "disappears" when you control for job title is not solved; it is a prompt to ask why jobs are gendered in the first place.
"The Xs Are Not Innocent"
The determinants of pay, promotion, and evaluation — performance ratings, tenure, job title — are themselves generated by processes that may carry bias. Whether to adjust for them is a normative and strategic choice, not a purely statistical one. Treating control variables as exogenous systematically understates disparity.
"Identity-Blind ≠ Identity-Neutral"
Any algorithm, policy, or rule trained on data where inputs are correlated with identity will produce disparate impact — regardless of whether identity is explicitly included. Excluding a variable does not eliminate its influence; it only hides it. There is no criterion-based approach that avoids demographic consequences when applied to a structurally unequal organization.
"Absence of Disparity ≠ Equity"
Opposite biases across units can cancel in aggregate, producing a misleading zero net effect — a textbook instance of Simpson's Paradox. Enterprise-level parity at Elemental Systems masked significant division-level disparities. Always interrogate the distribution, not just the mean.
Explore the Simpson's Paradox Interactive →
"DGP Determines the Fix"
Differential treatment requires behavioral interventions (structured evaluation, blind review, bias training). Disparate impact requires process and policy redesign (revised criteria, alternative pathways, job redesign). Matching the wrong solution to the wrong problem wastes resources and can produce new inequities.
"Process > Snapshot"
To address inequity, analysts must focus on the process that generates disparity over time rather than cross-sectional snapshots. The Data-Generating Process is the unit of analysis. Without career history data — who entered, at what level, how they were promoted, when they left — it is impossible to distinguish equitable sorting from biased sorting.
"Disparity Is Not Necessarily Inequity"
Observed differences can be produced through both fair and unfair processes. The analytical task is to distinguish which mechanism generates the disparity — not to assume the answer. A system can produce unequal outcomes equitably if the process is fair; it can produce equal outcomes inequitably if offsetting biases cancel.
"Equity Often Necessitates Compensatory Action"
Inequity can result from treating people unequally, but can also be addressed by doing so. Like staggered starting positions on a 400-meter track, treating people differently can be equitable when underlying structural conditions differ. Understanding the precise DGP allows analysts to design identity-conscious corrections.
"Statistics ≠ Inference"
In statistics, you know the DGP and predict outcomes. In equity analysis, you observe outcomes and must work backwards to infer the DGP — requiring both analytical rigor and theoretical imagination about plausible data-generating processes. You are an inferential detective, not a predictive modeler.
"Legal Permissibility ≠ Political Durability"
A program can be found lawful, shown effective, and still collapse if the institution running it cannot absorb the cost of defending itself. The Mansfield Rule was not killed by a court order; it was killed by the cost of legal defense. Program design must account for organizational resilience, not just legal compliance.