FDIC branch deposits × OT: Killed at burn-in (negative result)

Status: killed at burn-in. No out-of-sample run. The burn-in median next-year W₂² was 0.0078, below the half-sample noise floor of 0.0196 (ratio 0.399), and it was below the floor in every one of the 9 burn-in target years. By the pre-registered rule the object is killed: from one year to the next, the spread of branch deposits inside a state moved less than two random halves of the same state-year differ. The shape-only part of the move was also below its own noise floor. Separately, the planned test had power 0.07 with the 22 out-of-sample years available. Nothing was scored and no replacement object is proposed.

What was going to be forecast

Each year, the spread of branch deposits inside each US state (FDIC Summary of Deposits): for each state and year, the equal-weighted distribution of ln(branch deposits) minus ln(the national median branch deposit), over branches other than main offices with positive deposits, in the 50 states and DC. Two optimal-transport methods were pre-registered against simple baselines: a pooled Wasserstein autoregression around the yearly barycenter, and a Wasserstein regression on state deposit growth. The plain-language explanation is on the learning page.

The kill rule and the numbers

Burn-in years (next-year targets)1994–2003 (1995–2003)
Median next-year W₂² (99-point grid, 459 pairs)0.0078208250
Median half-sample W₂² (510 state-years, seed 20261009)0.0195766804
Ratio, next-year / half-sample0.3994969939
Burn-in target years with next-year below the floor9 of 9
K1: kill if next-year ≤ half-samplefired
K3: shape term, next-year 0.0036937468 vs half-sample 0.0093507007fired
K2: shape share of the move 0.4200 (kill if < 0.15)did not fire
Planning power, primary test (5% gain, Holm 2.5%, T = 22)0.0705
Out-of-sample years scored (2004–2025)0

The half-sample distance is the noise floor: split a state's branches in one year at random into two halves and measure how far apart their quantile functions are. If consecutive years are closer than that, the year-to-year signal is below the noise and there is nothing for a forecast to beat. Any one of the pre-stated kill rules was enough; K1 and K3 both fired. Power is a second, independent reason not to proceed: with about 22 test years and a common year shock across states, a 5% gain would be detected about 7% of the time.

Pre-registration record

File (tracks/fdic-sod-ot/prereg/)sha256
PREREG_fdic_sod_ot.md2f7f7917e484663ecfc7260345de24e947094b886bdfc7f9ef1ade857aaf988c
fdic_sod_ot_learning.htmld1aced8016107f88a81742239fd334ffc0375fb6753aa63c7abe543483fc2ba7
test_design_fdic_sod_ot_v1.jsonb9c1aef3086b9dc70e00f74fd88890674d2497bd7a58330c36d92be672627db3
GATE_THRESHOLDS_fdic_sod_ot.md14018b0c4f44de33f30e276134ddfa42334f64044333db19d5a924ae4f9af4a8
PIN.txtab4efcd9d6032be439c4585591664fa128db2a1281db9339be1725479c406cc4

The design JSON keeps oos_authorized: false, and that flag is not the switch. Because the burn-in kill fired, an out-of-sample run of this object would not start even if an approval file were written later. A different object would need its own pre-registration.