Pre-registration
Health expenditure per capita increases life expectancy strongly at low and middle spending levels but has sharply diminishing returns above the OECD median.
Falsification criterion — what would disprove this
This hypothesis is considered falsified if:
SUPPORTED if the primary treatment coefficient has the pre-registered + sign at p<=0.10 with minimum sample gates. REFUTED if the coefficient has the opposite sign at p<=0.10. Otherwise PARTIAL; missing data or failed sample gates are INCONCLUSIVE_DATA_PENDING.
formal test & threshold
test: panel_fe_wdi_health_spending_life_expectancy_diminishing_returns_panel threshold: [object Object]
Method
- Template
panel_fe- Fixed effects
country, year- Clustering
country- Sample
- 1 countries · 1980 – 2024
- Evidence type
- associational
First-pass panel fixed effects screen. Multi-outcome or threshold language from the source backlog should be upgraded to a bespoke replication before scoreboard conversion.
Data
| Variable | Source | Transform |
|---|---|---|
life_expectancy outcome | world_bank_wdi:SP.DYN.LE00.INtier 2 | level |
health_spending_share treatment | world_bank_wdi:SH.XPD.CHEX.GD.ZStier 2 | level_lagged_one_year |
log_gdp_pc control | world_bank_wdi:NY.GDP.PCAP.KDtier 2 | log |
trade_openness control | world_bank_wdi:NE.TRD.GNFS.ZStier 2 | level |
government_effectiveness control | wgi:GE.ESTtier 4 | level |
● ready · ● pending · ● reconstruct-needed
Detailed result card
Result card — wdi_health_spending_life_expectancy_diminishing_returns_panel
Verdict: PARTIAL — coef=+0.1233, p=0.198 (above α=0.1); direction inconclusive
Pre-registration
- Claim: Health expenditure per capita increases life expectancy strongly at low and middle spending levels but has sharply diminishing returns above the OECD median.
- Falsification rule: SUPPORTED if the primary treatment coefficient has the pre-registered + sign at p<=0.10 with minimum sample gates. REFUTED if the coefficient has the opposite sign at p<=0.10. Otherwise PARTIAL; missing data or failed sample gates are INCONCLUSIVE_DATA_PENDING.
- Falsification test: panel_fe_wdi_health_spending_life_expectancy_diminishing_returns_panel
Estimate
- Method: linearmodels.PanelOLS
- Coefficient (treatment): +0.1233
- Std error: 0.09575
- p-value: 0.198
- Observations: 756, countries: 32
- Within R²: 0.328
- Fixed effects: entity=True, time=True
- Clustering: country
Variables resolved
world_bank_wdi:SP.DYN.LE00.IN→ life_expectancy (outcome, publisher=world_bank_wdi, n=14443)world_bank_wdi:SH.XPD.CHEX.GD.ZS→ health_spending_share (treatment, publisher=world_bank_wdi, n=4811)world_bank_wdi:NY.GDP.PCAP.KD→ log_gdp_pc (controls, publisher=world_bank_wdi, n=12104)world_bank_wdi:NE.TRD.GNFS.ZS→ trade_openness (controls, publisher=world_bank_wdi, n=10714)wgi:GE.EST→ government_effectiveness (controls, publisher=wgi, n=5168)
Generated by scripts/run_panel_fe.py at 2026-06-29T17:52:37+00:00
Strongest opposing argument
Every hypothesis ships with its charitable opposing argument. The framework earns credibility by handling objections at their strongest, not weakest.
Notes
Source shard: engine/audits/swarm_2026-05-22_200_hypotheses_worker_D_sectoral_data_rich.md. Backlog source families: WDI, OWID health, WGI controls.. Initial promotion pass left scoreboard mapping empty; mapped by the 2026-05-22 swarm scoreboard conversion v1.