Pre-registration
Large welfare states sustain long-run real GDP per capita growth when paired with market flexibility (low product- and labour-market barriers), trade openness, and fiscal discipline (debt-to-GDP below 90%), but not when paired with rigid product and labour markets, in an OECD and rich- country panel 1980-2020. The directional claim is that the interaction between welfare-state size (social transfers + public consumption as % of GDP) and a composite flexibility-openness-discipline index is positive and significant for growth, while welfare-state size alone shows no effect or a negative effect.
Falsification criterion — what would disprove this
This hypothesis is considered falsified if:
SUPPORTED if β3 (welfare × flexibility) is positive and significant at p<0.10, AND the marginal welfare effect is negative or insignificant in the bottom tercile of flexibility and positive or insignificant in the top tercile. PARTIAL if β3 is positive and significant but β1 is also positive (welfare helps regardless, just more with flexibility). REFUTED if β3 is negative and significant. INFORMATIVE: the result should survive excluding the Nordic countries; if not, it is a Nordic- specific story.
formal test & threshold
test: panel_fe_welfare_flexibility_interaction_growth_oecd threshold: β_interaction > 0 at p<=0.10 AND Marginal welfare effect <= 0 or p>=0.10 in bottom tercile AND Marginal welfare effect >= 0 or p>=0.10 in top tercile AND Ex-Nordic robustness retains sign of β_interaction.
Method
- Template
panel_fe- Fixed effects
country, year- Clustering
country- Sample
- 35 countries · 1980 – 2020
- Evidence type
- associational
Two-way FE panel with interaction: growth = β0 + β1*welfare_size + β2*flexibility_index + β3*(welfare_size × flexibility_index) + controls + FE. Subsample analysis at terciles of flexibility index. Robustness: (1) use Fraser EFW overall index instead of constructed composite; (2) exclude Nordic countries; (3) use 5-year non-overlapping averages; (4) separate product-market and labour-market flexibility interactions.
Data
| Variable | Source | Transform |
|---|---|---|
real_gdp_per_capita_growth outcome | world_bank_wdi:NY.GDP.PCAP.KDtier 2 | annual_log_change |
real_household_disposable_income_growth outcome | constructed:OECD SNA household disposable income per capita real growthtier 5 | annual_log_change |
welfare_state_size treatment | oecd:DSD_SOCXtier 2 | pct_gdp |
market_flexibility_openness_discipline_index treatment | constructed:composite of OECD PMR (inverted), OECD EPL (inverted), trade openness (WDI), and debt-to-GDP (IMF, inverted above 90%)tier 5 | z_score_composite |
employment_rate channel | oecd:employment_rate_15_64tier 2 | level |
labour_productivity_growth channel | pwt:rgdpotier 3 | annual_log_change_per_worker |
initial_log_gdp_per_capita control | world_bank_wdi:NY.GDP.PCAP.KDtier 2 | log |
human_capital_index control | pwt:hctier 3 | level |
investment_share control | world_bank_wdi:NE.GDI.TOTL.ZStier 2 | level |
institutional_quality control | wgi:RL.ESTtier 4 | level |
age_dependency_ratio control | world_bank_wdi:SP.POP.DPNDtier 2 | level |
● ready · ● pending · ● reconstruct-needed
Detailed result card
Result card — welfare_state_market_flexibility_complement
Verdict: PARTIAL — coef=+3.308e-18, p=0.653; effect magnitude effectively zero
Pre-registration
- Claim: Large welfare states sustain long-run real GDP per capita growth when paired with market flexibility (low product- and labour-market barriers), trade openness, and fiscal discipline (debt-to-GDP below 90%), but not when paired with rigid product and labour markets, in an OECD and rich- country panel 1980-2020. The directional claim is that the interaction between welfare-state size (social transfers + public consumption as % of GDP) and a composite flexibility-openness-discipline index is positive and significant for growth, while welfare-state size alone shows no effect or a negative effect.
- Falsification rule: SUPPORTED if β3 (welfare × flexibility) is positive and significant at p<0.10, AND the marginal welfare effect is negative or insignificant in the bottom tercile of flexibility and positive or insignificant in the top tercile. PARTIAL if β3 is positive and significant but β1 is also positive (welfare helps regardless, just more with flexibility). REFUTED if β3 is negative and significant. INFORMATIVE: the result should survive excluding the Nordic countries; if not, it is a Nordic- specific story.
- Falsification test: panel_fe_welfare_flexibility_interaction_growth_oecd
Estimate
- Method: linearmodels.PanelOLS
- Coefficient (treatment): +3.308e-18
- Std error: 7.355e-18
- p-value: 0.653
- Observations: 601, countries: 29
- Within R²: 1
- Fixed effects: entity=True, time=True
- Clustering: country
Variables resolved
world_bank_wdi:NY.GDP.PCAP.KD→ real_gdp_per_capita_growth (outcome, publisher=world_bank_wdi, n=12104)oecd:DSD_SOCX@DF_SOCX_AGG→ welfare_state_size (treatment, publisher=oecd, n=1559)constructed: composite of OECD PMR (inverted), OECD EPL (inverted), trade openness (WDI), and debt-to-GDP (IMF, inverted above 90%)→ market_flexibility_openness_discipline_index (treatment, publisher=constructed, n=1168)pwt:rgdpo→ labour_productivity_growth (decomposition_channels, publisher=pwt, n=10399)world_bank_wdi:NY.GDP.PCAP.KD→ initial_log_gdp_per_capita (controls, publisher=world_bank_wdi, n=12104)pwt:hc→ human_capital_index (controls, publisher=pwt, n=8637)world_bank_wdi:NE.GDI.TOTL.ZS→ investment_share (controls, publisher=world_bank_wdi, n=10428)wgi:RL.EST→ institutional_quality (controls, publisher=wgi, n=5296)world_bank_wdi:SP.POP.DPND→ age_dependency_ratio (controls, publisher=world_bank_wdi, n=16935)
Variables missing data
constructed: OECD SNA household disposable income per capita real growth(outcome, name=real_household_disposable_income_growth) — vintage not on diskoecd_lfs:employment_rate_15_64(decomposition_channels, name=employment_rate) — vintage not on disk
Generated by scripts/run_panel_fe.py at 2026-06-29T17:52:38+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
Data readiness: - OECD Social Expenditure public spending (ready) - OECD PMR, EPL (ready) - WDI trade openness, GDP pc, investment, dependency ratio (ready) - PWT hc (ready) - WGI RL.EST (ready) - IMF GGXWDG_NGDP debt (ready) - OECD LFS employment rate (ready) - Fraser EFW overall (ready)