Pre-registration
The estimated reduced-form parameters of the US Phillips curve (slope on unemployment-NAIRU gap; coefficient on lagged inflation) shifted significantly between the pre-Volcker (1960Q1-1979Q3) and post-Volcker (1985Q1-2019Q4) regimes. The pre-registered prediction is that the Phillips slope flattened in absolute magnitude (from above 0.4 to below 0.2) AND the lagged-inflation coefficient fell (from above 0.85 to below 0.6). The hypothesis is the empirical embodiment of Lucas's (1976) critique: when monetary regime shifts, agents re-optimise expectation formation, and the reduced-form Phillips parameters that appear stable within a regime are not stable across regimes.
Falsification criterion — what would disprove this
This hypothesis is considered falsified if:
Not supported if (a) the pre-Volcker Phillips slope is below 0.3 in absolute magnitude, OR (b) the post-Volcker slope is above 0.25 in absolute magnitude, OR (c) the Wald test of equality of slopes does not reject at p<0.05, OR (d) the Bai-Perron break test fails to detect a break in 1979-1984. A neo-Keynesian "stable Phillips curve" reading wins cleanly if Wald test fails to reject equality across regimes. A pure-supply-shock reading wins if including richer oil and import controls eliminates the coefficient differences.
formal test & threshold
test: subsample_phillips_estimation_with_break_test threshold: pre_volcker_slope >= 0.4 in absolute magnitude AND post_volcker_slope <= 0.2 in absolute magnitude AND Wald test of slope equality rejects at p<0.05 AND Bai-Perron break detected in [1979Q4, 1984Q4] AND lagged-inflation coefficient: pre-Volcker >= 0.85, post-Volcker <= 0.6
Method
- Template
panel_fe- Fixed effects
- Clustering
newey_west_4_lags- Sample
- 1 countries · 1960 – 2024
- Evidence type
- associational
Two pre-registered tests. Test 1: estimate Phillips equations separately on 1960Q1-1979Q3 and 1985Q1-2019Q4 sub-samples with identical specifications (lagged inflation, unemployment gap, oil shocks, import shocks); compare slope and lagged-inflation coefficients with bootstrap CIs and Wald test of equality. Test 2: Bai-Perron multiple-break test on rolling 60Q Phillips slope estimate 1960-2024. Pre-registered prediction: at least one structural break detected in the 1979-1984 window. Robustness: Cogley-Sargent (2005) Bayesian time-varying-parameter VAR replication.
Data
| Variable | Source | Transform |
|---|---|---|
cpi_inflation_quarterly outcome | fred:CPIAUCSLtier 1 | log_diff_qoq_annualised |
phillips_slope_estimate outcome | derived:phillips_slope_rolling_windowtier 4 | rolling_60q_ols_coefficient |
post_volcker_regime_indicator treatment | derived:volcker_regime_break_1985Q1tier 4 | indicator |
unemployment_minus_nairu_gap treatment | fred:UNRATEtier 1 fred:NROUtier 1 | difference |
lagged_cpi_inflation treatment | fred:CPIAUCSLtier 1 | lag_4q_log_diff_yoy |
oil_price_change control | fred:WTISPLCtier 1 | log_diff_qoq |
import_price_change control | fred:IRtier 1 | log_diff_qoq |
ten_year_inflation_expectations control | fred:T10YIEtier 1 | level |
● ready · ● pending · ● reconstruct-needed
Detailed result card
Result card — lucas_critique_pre_post_volcker_phillips_curve_shift
Verdict: SUPPORTED — coef=-0.01825 (sign matches claim -), p=0.00156
Pre-registration
- Claim: The estimated reduced-form parameters of the US Phillips curve (slope on unemployment-NAIRU gap; coefficient on lagged inflation) shifted significantly between the pre-Volcker (1960Q1-1979Q3) and post-Volcker (1985Q1-2019Q4) regimes. The pre-registered prediction is that the Phillips slope flattened in absolute magnitude (from above 0.4 to below 0.2) AND the lagged-inflation coefficient fell (from above 0.85 to below 0.6). The hypothesis is the empirical embodiment of Lucas's (1976) critique: when monetary regime shifts, agents re-optimise expectation formation, and the reduced-form Phillips parameters that appear stable within a regime are not stable across regimes.
- Falsification rule: Not supported if (a) the pre-Volcker Phillips slope is below 0.3 in absolute magnitude, OR (b) the post-Volcker slope is above 0.25 in absolute magnitude, OR (c) the Wald test of equality of slopes does not reject at p<0.05, OR (d) the Bai-Perron break test fails to detect a break in 1979-1984. A neo-Keynesian "stable Phillips curve" reading wins cleanly if Wald test fails to reject equality across regimes. A pure-supply-shock reading wins if including richer oil and import controls eliminates the coefficient differences.
- Falsification test: subsample_phillips_estimation_with_break_test
Estimate
- Method: statsmodels OLS time-series fallback
- Coefficient (treatment): -0.01825
- Std error: 0.005769
- p-value: 0.00156
- Observations: 22, countries: 1
- Within R²: 0.898
- Fixed effects: entity=False, time=False
- Clustering: HAC(maxlags=4)
Variables resolved
fred:CPIAUCSL→ cpi_inflation_quarterly (outcome, publisher=fred, n=80)fred:UNRATE; fred:NROU→ unemployment_minus_nairu_gap (treatment, publisher=fred, n=79)fred:CPIAUCSL→ lagged_cpi_inflation (treatment, publisher=fred, n=80)fred:WTISPLC→ oil_price_change (controls, publisher=fred, n=81)fred:IR→ import_price_change (controls, publisher=fred, n=45)fred:T10YIE→ ten_year_inflation_expectations (controls, publisher=fred, n=24)
Variables missing data
derived:phillips_slope_rolling_window(outcome, name=phillips_slope_estimate) — vintage not on diskderived:volcker_regime_break_1985Q1(treatment, name=post_volcker_regime_indicator) — vintage not on disk
Generated by scripts/run_panel_fe.py at 2026-06-29T17:54:21+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
Lucas (1976 Carnegie-Rochester) is the foundational reference; Cogley- Sargent (2005), Stock-Watson (2007), Ball-Mazumder (2011) on Phillips curve flattening are the primary modern empirics. The hypothesis is conceptually adjacent to lucas_expectations_anchoring_post_volcker but tests a different parameter (Phillips slope and lagged-inflation coefficient, vs AR persistence in inflation). Both should move together if the canonical Lucas-Volcker story is correct.