DI Classification Errors

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Definition

Disability Insurance (DI) classification errors are adjudication mistakes in the Social Security disability determination process. A Type I error (false rejection) occurs when a genuinely disabled applicant is denied benefits; a Type II error (false award) occurs when a non-disabled applicant receives benefits. These error types map directly to the fundamental insurance-incentive tradeoff in DI design: tightening eligibility to reduce Type II errors necessarily increases Type I errors, and vice versa. Low and Pistaferri (2019, 2020) argue that Type I errors are the dominant inefficiency in the U.S. DI system, with a false rejection rate estimated around 37–54% at first contact for claimants who self-report severe, permanent, work-preventing impairments.

Key Ideas

How It Works

The SSA Sequential Determination Process produces errors when the administrative signal (Disability Determination Services [DDS] evaluator assessment based on medical records, occupational history, and functional capacity forms) diverges from the applicant's true disability status. Four channels can produce higher Type I errors for a demographic group:

  1. True underlying health difference: the group's impairments are less objectively severe on average (λL<0\lambda_L < 0).
  2. Reporting threshold difference: the group perceives and reports impairments using a different severity scale — e.g., lower "pain threshold" causing over-reporting of borderline cases (λL<0\lambda_L^* < 0).
  3. Application threshold difference: the group has lower costs of applying, shifting the applicant pool toward marginal cases (λA<0\lambda_A^* < 0).
  4. SSA evaluation bias: DDS evaluators systematically apply a stricter standard to the group regardless of objective health (λSSA<0\lambda_{SSA} < 0).

Low and Pistaferri (2019) use disability vignettes from the 2007 Health and Retirement Study (HRS) to separately identify these channels. For women, channels 1–3 are ruled out (all parameters are positive or insignificant). Only channel 4 — supply-side bias — is statistically confirmed. Vignette respondents rate female hypothetical individuals as 1.7 pp less likely to be disabled (name randomized, same description), approximating a randomized audit of evaluator bias.

Structural Estimates: Low and Pistaferri (2015)

Low and Pistaferri (2015) provide the most granular quantitative estimates of Type I and II errors by age and health state using a structural life-cycle model estimated on Panel Study of Income Dynamics (PSID) data (male heads, high school [HS] or less, 1984–2008). Their three health states — L=0 (healthy), L=1 (moderately work-limited), L=2 (severely work-limited) — allow separate identification of the false-rejection and false-award margins.

Type I error rates (false rejections of severely disabled):

Age group Type I error rate at first application
Workers under 45 with severe work limitation (L=2) 67%
Workers over 45 with severe work limitation (L=2) 37%

The young-severely-disabled are particularly poorly insured: they face the highest rejection rates and have the fewest assets to self-insure during the gap.

Type II error rates (false awards to moderately disabled):

Application elasticity by health state:

Health state Application elasticity to benefit generosity
All (overall) 0.62
Moderately disabled (L=1) 2.22
Severely disabled (L=2) 0.018

The asymmetry is diagnostic: false applications are almost entirely concentrated among the moderately disabled, who are responsive to incentives. The severely disabled are near-inelastic — they apply regardless of program parameters because they cannot work.

Nonemployment elasticity: 0.056, at the low end of the reduced-form literature (range 0.06–0.93).

Nature of false claimants: predominantly individuals who recovered health while on DI and failed to exit — not people who were never disabled.

Food stamps interaction: food stamps are a substitute for DI among the moderately disabled (reducing false applications) but a complement for the severely disabled (enabling application by raising the consumption floor). A 10% increase in food stamp generosity raises welfare by 0.9% of consumption, more than any DI design change, while reducing false DI applications.

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