BSW: The Case for Targeted Recounts

2026-03-14 | Dashboard

Executive Summary

BSW received 4.981%, missing the 5% threshold by 9,529 votes (0.019pp). This report examines whether the margin is small enough to justify targeted recounts.

Key findings:

The Official Gap

BSW received 2,472,947 valid Zweitstimmen out of 49,649,512 total (4.981%). The 5.000% threshold requires 2,482,476 — a deficit of 9,529 (0.019pp).

Official Corrections

Between preliminary and final results (Arbeitstabelle 9), BSW gained +4,277 Zweitstimmen — 44.9% of the deficit. BD lost −2,640.

Power Analysis

4 forensic tests (skew, Benford, geographic, negative-residual fraction) have 0% power to detect 9,529 votes spread across precincts. Even concentrated 953x10 patterns are only 15% detectable (skew test alone).

BSW Claims Assessment

1: BSW↔BD Ballot Confusion

Residual r=+0.028. No swap detected. Would need ~12.5% of BD.

2: Zero-Vote Precincts

784 low-tail precincts (81 zeros + 703 BSW>0). Null-calibrated excess: 5,145 votes (p=0.005).

3: Recount Extrapolation

50 BSW-selected recounts. Selection bias limits national extrapolation.

4: Official Corrections

+4,277 BSW (44.9% of deficit) via normal verification process.

Model Performance

95,046 precincts, GroupKFold(10) by Wahlkreis. LR: BSW uses strict features (no 2025 Erststimmen); other parties use base features.

PartyLR R²XGB R²Δ
BSW0.64440.8085+0.1640
AfD0.95720.9896+0.0324
CDU0.96380.9863+0.0225
SPD0.85400.9276+0.0736
GRÜNE0.90570.9619+0.0563
Die Linke0.85770.9451+0.0874
FDP0.59440.7014+0.1071
CSU0.98240.9964+0.0140
FREIE WÄHLER0.77260.8772+0.1046

Residual Distributions

Unimodal, no hidden subpopulation.

Turnout Correlation

Benford's 2nd Digit

Partyχ²p
BSW26.90.0014
FDP56.50.0000
Die Linke13.60.1390

Distribution Shape

PartySkewKurtosis
BSW+0.6205.84
AfD+2.43321.66
CDU+0.0606.59
SPD-0.1764.73
GRÜNE+0.8927.28
Die Linke-0.59614.11
FDP+0.3647.52
CSU+2.28325.71
FREIE WÄHLER+1.09217.27

BSW skew=+0.62 (positive right tail). Missing votes would produce negative skew. Kurtosis 5.8 (leptokurtic; normal=3.0).

Conclusion

The 9,529-vote deficit is small enough that targeted recounts are justified. Official corrections recovered 44.9%, 5,145 excess low-tail missing votes are statistically significant (p=0.005), and forensic tests lack power to detect diffuse errors. The question is not settled — it requires recounts.