Working paper no. 1 · Preregistered 2026-06-11 · N = 150 local authorities
Refused, Not Appealed
The SEND appeals that never happen.
Tribunals find for families in roughly 99% of decided SEND appeals. Yet when English local authorities refuse to assess a child for an Education, Health and Care plan, 88.6% of those refusals are never contested at tribunal — and the families least likely to fight live in the most deprived places.
Figure 1 · The national funnel, pooled 2023–24
Most refusals are never formally contested
Only 11.4% of refusals reach tribunal, in a system where the tribunal sides with families ~99% of the time it decides. The binding constraint on justice here is not winning the appeal — it is filing it. Across local authorities the dispute rate runs from 2.7% at the 10th percentile to 20.6% at the 90th: a seven-fold gap between the places where refusals are routinely tested and the places where they are quietly absorbed.
Figure 2 · Dispute-after-refusal rate by deprivation quintile
Refusals are contested half as often where deprivation is highest
The least-deprived fifth of local authorities contests 13.9% of refusals at tribunal; the most-deprived fifth contests 5.8%. In the preregistered Poisson model, one standard deviation of deprivation predicts a 24% lower dispute-after-refusal rate (β = −0.278, one-sided p < .0001) — a gradient that survives controls for need mix, the authority's own refusal rate, scale, and region fixed effects. Had every quintile contested at the least-deprived rate, there would have been roughly 1,956 additional appeals in 2023–24 — appeals that, on national success rates, would overwhelmingly have been won.
The sharpest finding · Channel substitution
Deprived areas don't challenge less. They're confined to the channel without teeth.
Mediation (free, informal)
+0.16
per SD of deprivation · rises with deprivation
Tribunal (binding, costly)
−0.28
per SD of deprivation · falls with deprivation
All formal challenge
+0.04
per SD of deprivation · flat — no gradient
Case merit affects mediation and tribunal symmetrically — a weak case is weak in both rooms. Costs do not. Families in deprived areas use free mediation more than anyone else, and the heavyweight tribunal route far less; total willingness to challenge is the same everywhere (interaction β = −0.43, p < .0001). That is the signature of a resource barrier, not weaker cases. Refusal rates themselves show no deprivation gradient at all.
| Model | β | Robust SE | 95% CI | p | N |
|---|---|---|---|---|---|
| M1Poisson, offset log(refusals) | −0.278 | 0.053 | [−0.382, −0.175] | <.0001 | 150 |
| M2+ need, refusal mix, scale | −0.277 | 0.071 | [−0.417, −0.137] | .0001 | 150 |
| M2b+ region fixed effects | −0.187 | 0.083 | [−0.348, −0.025] | .024 | 150 |
| M3Refusal-rate gradient (H3) | +0.104 | 0.094 | [−0.080, +0.288] | .266 | 150 |
| H4IMD × tribunal (vs mediation) | −0.434 | 0.072 | [−0.576, −0.292] | <.0001 | 300 |
| H5Refusal rate → EHE rate (OLS) | +0.193 | 0.284 | [−0.364, +0.751] | .497 | 142 |
| Model | β | Robust SE | 95% CI | p | N |
|---|---|---|---|---|---|
| R1WLS winsorized rate | −0.028 | 0.005 | [−0.039, −0.018] | <.0001 | 150 |
| R2Unweighted OLS rate | −0.014 | 0.010 | [−0.033, +0.005] | .156 | 150 |
| R3IDACI replacing IMD | −0.257 | 0.056 | [−0.367, −0.146] | <.0001 | 150 |
| R4a2023 only | −0.344 | 0.065 | [−0.472, −0.216] | <.0001 | 144 |
| R4b2024 only | −0.243 | 0.065 | [−0.370, −0.117] | .0002 | 148 |
| R6Exclude inherited IMD / rate > 1 | −0.291 | 0.054 | [−0.397, −0.185] | <.0001 | 140 |
| R7Negative binomial | −0.166 | 0.068 | [−0.300, −0.032] | .015 | 150 |
| R8Mediation + tribunal combined | +0.036 | 0.043 | [−0.048, +0.119] | .401 | 150 |
What didn't hold
Reported because we preregistered it, not because it flatters the story
H5 (home-education spillover) found nothing. We predicted higher refusal rates would push families toward elective home education; the estimate is directionally positive but null (p = .50). It was flagged as underpowered in the preregistration and it stays null in the paper.
One robustness variant is fragile. The unweighted OLS rate form (R2) reaches only one-sided p = .078 — small authorities inject noise that the count and weighted forms are designed to handle, but we report it plainly.
Our priors underestimated the data. We predicted a channel interaction of −0.10; the estimate is −0.43 — far outside our locked 90% interval. The honest reading: we expected a modest resource gradient and found a large one.
What follows
For families
A refusal to assess is, statistically, an invitation to appeal. The tribunal is free, and when it decides refusal cases it overwhelmingly decides them for families. The deadline is generally two months from the refusal letter.
For policy
A ~99% success rate against an 11% take-up rate is not an appeals system — it is a persistence tax. Automatic independent review of refusals would remove the gate; funded advocacy in deprived areas targets the measured constraint.
For the DfE
Publish tribunal outcomes by local authority, and link appeal flags to refusal cohorts. Those two releases would close the gaps this paper has to bound rather than measure.
Methods & materials
Local-authority × year panel built from the DfE SEN2 person-level collection (2023–24), the January school census, the English Indices of Deprivation 2019 and MoJ tribunal tables. Hypotheses, exact specifications and priors locked before estimation; raw snapshots pinned by SHA-256; every number script-generated. Analysis executed by an LLM research agent under human direction — and designed so you don't have to take anyone's word for it.
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