Multi-League Validation Study: Expanding Systematic Permutation Analysis Across Professional Sports
Evidence of Universal Patterns and Sport-Specific Characteristics in Betting Market Inefficiencies

Research Team: Quantitative Sports Analytics Division

Perpetuum Research Group

Published: March 2026

Abstract: This paper extends our foundational Positional Ratio research across twelve professional sports leagues and 836 tested slates. The clearest conclusion from the new data is not that one universal model works everywhere, but that league-specific optimization matters. Across multiple sports, optimized configurations consistently outperformed generic baselines, with the largest gains appearing in leagues where market structure, scoring dynamics, and outcome distribution differ materially from one another.
1. Introduction

Following our initial research demonstrating strong success rates in baseball permutation analysis, a fundamental question emerged: Are these patterns sport-specific artifacts, or do they reflect universal market inefficiencies?

This study addresses that question through comprehensive backtesting across twelve professional leagues spanning four major sports and international soccer. Rather than assuming our baseball findings would transfer directly, we approached each league as a distinct market with its own characteristics, testing whether systematic permutation analysis could identify edges across varying conditions.

Core Finding: The strongest public conclusion from the V7 research is simple: optimize by league. In the latest comparisons, league-specific configurations materially outperformed universal baselines, with some leagues improving by double-digit percentage points.
2. Methodology
2.1 League Selection and Data Scope

We selected leagues based on three criteria: market liquidity (sufficient betting volume), data availability (reliable historical results and odds), and sport diversity (representation across different scoring systems and game structures).

League Sport Slates Tested Baseline Inclusion
NBA Basketball 223 66.8%
NHL Ice Hockey 285 40.4%
NFL American Football 9 66.7%
MLB Baseball 47 44.7%
Brazil Serie A Soccer 98 57.1%
Bundesliga Soccer 25 72.0%
Ligue 1 Soccer 58 67.2%
Serie A Soccer 26 57.7%
La Liga Soccer 25 56.0%
Premier League Soccer 35 48.6%
MLS Soccer 5 80.0%
NPB Baseball (Japan) 35 34.3%
Universal Baseline: 454 winners found in 836 tested slates = 54.3% inclusion rate. That baseline is useful context, but it is no longer the main story. The main story is how much better the system performs once tuned to the league it is actually operating in.
2.2 Analytical Framework

For each league, we employed a consistent backtesting methodology:

Important Note: This paper focuses on observed patterns and performance metrics. Specific ranking algorithms, weighting schemes, and selection criteria remain proprietary to protect competitive advantages.
3. Results by League
3.1 Basketball (NBA)
Performance: 66.8% baseline inclusion across 223 slates, improving to 69.0% in optimized testing

Basketball emerged as one of our most consistent performers with substantial sample size. The high game frequency during regular season provides daily opportunities, and our system captures winners in two-thirds of tested slates.

What Makes NBA Work:

3.2 American Football (NFL)
Performance: 66.7% in current testing, with optimized configurations reaching 70.0% in the latest comparison runs

Football performs strongly despite smaller sample sizes due to weekly scheduling. The concentrated nature of NFL slates (primarily Sunday games) creates unique dynamics that our system captures effectively.

NFL Characteristics:

3.3 Ice Hockey (NHL)
Performance: 40.4% baseline inclusion across 285 slates, improving to 47.7% in optimized testing

Hockey provides our most robust dataset. That matters. The 285-slate sample makes NHL one of the clearest examples of why league-specific tuning matters: even in a tougher market, optimization produced a meaningful step up over the universal baseline.

NHL Observations:

3.4 Baseball (MLB)

Baseball shows a 44.7% inclusion rate across 47 tested slates. The large daily game counts (12-15 games) create permutation spaces in the thousands, making accurate selection more challenging but also more rewarding when successful.

3.5 Soccer Leagues
Key Insight: 3-way markets are not a reason to avoid soccer. They are a reason to model soccer differently.

Soccer ended up being one of the strongest arguments for league-specific optimization. Despite the added complexity of draw outcomes creating 3^n permutation spaces, several leagues improved sharply once the model was tuned to their own structure:

League Optimized Result Takeaway
Bundesliga 68.8% Large jump over universal baseline
Ligue 1 Sample too small to generalize Needs more volume before strong claims
Serie A 72.0% One of the strongest optimized outcomes
Brazil Serie A 70.0% Meaningful gain versus universal model
La Liga 59.1% Clear improvement, though less dramatic
Premier League 56.7% More efficient market, smaller optimization edge

The variation across soccer leagues reflects differing market efficiency, draw frequency, and home advantage strength. Some leagues respond strongly to optimization. Others move only modestly. That is exactly why treating all soccer as one problem leaves value on the table.

4. Universal Patterns vs. Sport-Specific Characteristics
4.1 What's Universal

Across all twelve leagues, we observed consistent patterns:

4.2 What's Sport-Specific

Critical differences emerged that prevent one-size-fits-all approaches:

Characteristic Hockey/Basketball Football Baseball Soccer
Optimal Slate Size 10-14 games 12-16 games 12-15 games 8-10 games
Scoring Variance Medium Low-Medium High Very High
Market Efficiency High Very High Medium-High Varies by League
Home Advantage Moderate Strong Weak Strong
5. Advanced Metrics Discovery
5.1 Beyond Basic Positional Ratios

Our multi-league analysis revealed that simple positional ranking, while effective, leaves performance on the table. We developed several categories of advanced metrics:

Temporal Metrics: Patterns change over time. A slate that looks similar to recent winners performs differently than one that doesn't. We track rolling averages and momentum indicators to capture these dynamics.

Horizontal Metrics: How picks relate to each other within a permutation matters. The distribution of odds, the balance between favorites and underdogs, and the diversity of selections all contribute to outcome probability.

Composition Metrics: In mixed-league parlays, the specific combination of sports matters. Three hockey games plus two baseball games behaves differently than five hockey games, even with similar odds profiles.

Performance Impact: The biggest practical improvement in the current research comes from league-specific optimization. Recent comparison runs showed gains such as NHL 33.0% to 47.7%, Brazil Serie A 40.0% to 70.0%, Bundesliga 25.0% to 68.8%, La Liga 31.8% to 59.1%, and Serie A 40.0% to 72.0%.
5.2 The 2D Zone Discovery

Perhaps our most significant finding came from analyzing metric interactions rather than individual metrics in isolation. When we examined the intersection of pattern consistency scores and diversity indices, we discovered "zones" where winning permutations cluster with remarkable consistency.

Permutations falling within specific 2D ranges showed average performance in the 95-98th percentile, with some zones achieving 100% hit rates above the 90th percentile across our test sample.

This suggests that winning isn't about maximizing any single metric, but about finding the right balance across multiple dimensions—similar to how portfolio theory identifies efficient frontiers rather than single optimal assets.

6. Cross-League Composition Analysis

A natural extension of multi-league validation was examining mixed-league parlays. Do patterns from single-league analysis transfer to combinations like "3 NHL + 2 MLB + 2 NFL"?

The answer: partially, but with important nuances.

6.1 Composition-Specific Patterns

We discovered that different league combinations exhibit distinct characteristics:

This led to development of composition-specific zone systems, where the optimal selection strategy adapts based on which leagues are present and in what proportions. Full details will be covered in our forthcoming Cross-League Composition Analysis paper.

7. Practical Implications
7.1 League Selection Strategy

Based on our V7 testing and follow-up optimization runs, leagues rank differently than intuition might suggest:

Interestingly, the most followed markets do not automatically produce the best optimized results. In some cases, the cleaner opportunity appears in leagues that are covered less aggressively and priced with less uniformity.

7.2 Slate Size Considerations

Our analysis reveals optimal slate sizes vary by sport:

7.3 Seasonal Timing

Performance varies across the season:

8. Limitations and Ongoing Research
8.1 Sample Size Considerations

With 836 tested slates across 12 leagues, we have a solid statistical foundation for the overall direction of the research. That said, not every league should be marketed with the same level of confidence. Our largest samples—NHL (285), NBA (223), Brazil Serie A (98), and Ligue 1 (58)—carry more weight than small-sample markets such as NFL and MLS.

8.2 Market Adaptation

As systematic approaches gain adoption, markets may adapt. We monitor performance metrics continuously to detect any degradation in edge. So far, patterns remain robust, suggesting the underlying inefficiencies are structural rather than temporary.

8.3 Future Directions
9. Conclusion

This multi-league validation study confirms that systematic permutation analysis works across diverse sports and market conditions, but the more important conclusion is narrower and more useful: the system performs best when it is optimized by league.

Key Takeaways:

The sports betting market remains inefficient in ways that are measurable, but not uniform. Our work suggests the edge is less about finding one perfect model and more about matching the right model to the right league.

We continue refining these techniques through ongoing backtesting, always asking: does this still work? So far, the answer remains yes.

10. References and Methodology Notes

Data Sources: Historical game results and odds from multiple providers including API-Sports, The Odds API, and BetsAPI

Statistical Validation: All findings subject to chi-square testing and cross-validation

Proprietary Methods: Specific algorithms, weighting schemes, and selection criteria remain confidential

Disclaimer: Past performance does not guarantee future results. All research is for educational purposes.