Pre-registration
Across countries 1996-2022, the joint condition of high rule-of-law (WGI RL) and high de-jure central-bank independence (proxied by Fraser-EFW area-3 sound-money sub-component plus institutional rules) predicts simultaneously lower mean inflation AND lower output volatility than either single condition alone. The Freiburg "strong state plus independent central bank" doctrine is that the two pillars are interactive: a rule-bound state needs a rule-bound monetary authority, and the combined regime is more than the sum of its parts. The test is a panel interaction term on the WGI-RL x EFW-area-3 product against twin outcomes (CPI inflation, GDP-growth volatility).
Falsification criterion — what would disprove this
This hypothesis is considered falsified if:
SUPPORTED if both (a) the interaction-term coefficient (RL × sound-money) is negative and significant at p<0.05 on inflation, AND (b) the same interaction-term coefficient is negative and significant at p<0.10 on output volatility (twin- outcome dual condition). PARTIAL if the interaction is significant on inflation but not on volatility. REFUTED if the interaction is wrong-signed or insignificant on inflation. INFORMATIVE: main-effect-only specification's R² compared to interaction specification — if the interaction adds <2pp to R² on either outcome, the synergy claim is empirically marginal even if statistically significant.
formal test & threshold
test: panel_fe_rl_x_sound_money_dual_outcome threshold: PRIMARY: beta(RL × area3) < 0 at p<0.05 on inflation AND beta(RL × area3) < 0 at p<0.10 on growth volatility. INFORMATIVE: R² gain from interaction term >= 0.02 on each outcome.
Method
- Template
panel_fe- Fixed effects
country, year- Clustering
country- Sample
- 48 countries · 1996 – 2022
- Evidence type
- associational
Two-way fixed-effects panel with the interaction term as the object of interest. Standard errors clustered by country. Identification from within-country variation in either pillar. Robustness: drop the interaction and run main effects only; Freiburg synergy claim requires interaction-term significance above and beyond main effects.
Data
| Variable | Source | Transform |
|---|---|---|
cpi_inflation_annual outcome | imf:PCPIPCHtier 2 | level |
gdp_growth_volatility_5yr outcome | world_bank_wdi:NY.GDP.MKTP.KD.ZGtier 2 | rolling_5yr_stdev |
wgi_rule_of_law treatment | wgi:RL.ESTtier 4 | level |
efw_sound_money_area3 treatment | fraser_efw:area_3_sound_moneytier 4 | level |
rl_x_sound_money_interaction treatment | constructed:wgi:RL.EST × fraser_efw:area_3_sound_moneytier 5 | product_term |
initial_log_gdp_pc control | world_bank_wdi:NY.GDP.PCAP.KDtier 2 | log_level_at_block_start |
trade_openness control | world_bank_wdi:NE.TRD.GNFS.ZStier 2 | level |
gen_govt_debt_pct_gdp control | imf:GGXWDG_NGDPtier 2 | level |
vdem_liberal_democracy control | vdem:v2x_libdemtier 4 | level |
● ready · ● pending · ● reconstruct-needed
Detailed result card
Result card — freiburg_strong_state_independent_central_bank_synergy_panel
Verdict: PARTIAL — coef=+0.8817, p=0.697 (above α=0.05); direction inconclusive
Pre-registration
- Claim: Across countries 1996-2022, the joint condition of high rule-of-law (WGI RL) and high de-jure central-bank independence (proxied by Fraser-EFW area-3 sound-money sub-component plus institutional rules) predicts simultaneously lower mean inflation AND lower output volatility than either single condition alone. The Freiburg "strong state plus independent central bank" doctrine is that the two pillars are interactive: a rule-bound state needs a rule-bound monetary authority, and the combined regime is more than the sum of its parts. The test is a panel interaction term on the WGI-RL x EFW-area-3 product against twin outcomes (CPI inflation, GDP-growth volatility).
- Falsification rule: SUPPORTED if both (a) the interaction-term coefficient (RL × sound-money) is negative and significant at p<0.05 on inflation, AND (b) the same interaction-term coefficient is negative and significant at p<0.10 on output volatility (twin- outcome dual condition). PARTIAL if the interaction is significant on inflation but not on volatility. REFUTED if the interaction is wrong-signed or insignificant on inflation. INFORMATIVE: main-effect-only specification's R² compared to interaction specification — if the interaction adds <2pp to R² on either outcome, the synergy claim is empirically marginal even if statistically significant.
- Falsification test: panel_fe_rl_x_sound_money_dual_outcome
Estimate
- Method: linearmodels.PanelOLS
- Coefficient (treatment): +0.8817
- Std error: 2.261
- p-value: 0.697
- Observations: 962, countries: 41
- Within R²: 0.00685
- Fixed effects: entity=True, time=True
- Clustering: country
Variables resolved
imf:PCPIPCH→ cpi_inflation_annual (outcome, publisher=imf, n=10789)world_bank_wdi:NY.GDP.MKTP.KD.ZG→ gdp_growth_volatility_5yr (outcome, publisher=world_bank_wdi, n=13897)wgi:RL.EST→ wgi_rule_of_law (treatment, publisher=wgi, n=5296)fraser_efw:area_3_sound_money→ efw_sound_money_area3 (treatment, publisher=fraser_efw, n=4625)constructed: wgi:RL.EST × fraser_efw:area_3_sound_money→ rl_x_sound_money_interaction (treatment, publisher=constructed, n=1296)world_bank_wdi:NY.GDP.PCAP.KD→ initial_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)imf:GGXWDG_NGDP→ gen_govt_debt_pct_gdp (controls, publisher=imf, n=8113)
Variables missing data
vdem:v2x_libdem(controls, name=vdem_liberal_democracy) — vintage not on disk
Generated by scripts/run_panel_fe.py at 2026-06-29T17:53:18+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
The "strong state plus independent central bank" formulation is Eucken's; Müller-Armack's "social market economy" carries the political-economy framing. The interaction test is the cleanest available expression of the synergy claim against published WGI + EFW data. v2 could substitute Bade-Parkin or Cukierman CBI indices once registered, which would tighten the institutional- CBI proxy.