Description
Comprehensive Algorithmic Risk Assessment of the Scottish Premiership: Round 26 (2025-2026 Season)
The discipline of sports forecasting has transitioned from subjective observation to a rigorous computational science, necessitating a framework that prioritizes mathematical objectivity over emotional narrative. As the 2025-2026 Scottish Premiership season progresses into its twenty-sixth round, the structural dynamics of the league have crystallized, offering a rich dataset for the application of the ‘Cara – Your Guardian Angel in Betting’ protocol. This report serves as an exhaustive analytical document, intended for professional peers and stakeholders who require a nuanced understanding of risk through the lens of the Harmony Index and the V3 Verdict algorithm.
The current standings reveal a highly competitive environment where Heart of Midlothian maintains a precarious lead with 54 points, pursued closely by Rangers at 51 points and a resurgent Celtic at 48 points with a game in hand. At the opposite end of the spectrum, the struggle for survival is punctuated by the catastrophic form of Livingston, whose winless run has extended to 24 matches, creating a statistical anomaly that significantly impacts model stability in their fixtures. This report analyzes six key matches from the 10th and 11th of February 2026, applying a strict nine-step calculation protocol to determine offensive forces, defensive resilience, and the resulting structural harmony of each event.
Theoretical Foundation of the Computational Protocol
The predictive model employed herein is predicated on the integration of the Poisson distribution with custom indicators of stability and parity. In professional football analytics, the Poisson distribution is utilized to calculate the probability of discrete occurrences—goals—within a fixed interval, assuming they occur independently and at a known average rate. However, raw Poisson probabilities often fail to account for the structural volatility of specific leagues. To mitigate this, the ‘Cara’ protocol introduces the Harmony Index (HI), a composite value derived from Model Stability (K) and the Equality Index (L).
The calculation of K utilizes the standard deviation of outcomes to measure the dispersion of risk, while L evaluates the absolute difference in the balance of forces between two competitors. This dual-layer filtering allows for the identification of ‘Platinum Selections’—events where the mathematical model reaches a state of near-perfect structural alignment (HI>100), thereby offering the highest degree of safety for the user.
Quantitative Analysis: Hearts vs Hibernian (The Edinburgh Derby)
Scheduled for February 10, 2026, at Tynecastle Park, the Edinburgh Derby remains one of the most statistically volatile fixtures in the Scottish calendar. Heart of Midlothian, under the guidance of Derek McInnes, has established a formidable home record, yet their recent 1-0 defeat to St Mirren has introduced a minor correction in their defensive momentum.
Step 1: Base Data and Raw Performance Metrics
The baseline statistics reflect the overall season performance up to the 25th matchday. Hearts have played 25 matches, securing 16 wins, 6 draws, and 3 losses. Hibernian, currently 5th, has secured 10 wins, 9 draws, and 6 losses.
| Parameter | Hearts (Home) | Hibernian (Away) |
| Win Percentage (W%) | 64.00% | 40.00% |
| Draw Percentage (D%) | 24.00% | 36.00% |
| Loss Percentage (L%) | 12.00% | 24.00% |
| Goals For (GFavg) | 1.88 | 1.64 |
| Goals Against (GAavg) | 0.80 | 1.20 |
Data compiled from season-to-date performance across 25 matches.
Step 2 & 3: Calculation of Offensive and Defensive Forces
Offensive force (AS) is a summation of success rates and scoring efficiency, while defensive force (DS) is a reciprocal measure of goal resistance adjusted for win/loss variance.
ASHearts=0.64+0.12+1.88=2.64DSHearts=0.64−0.12+0.801=0.758ASHibernian=0.40+0.24+1.64=2.28
DSHibernian=0.40−0.24+1.201=0.735
Step 4 & 5: Expected Goals (xG) and Poisson Probabilities
Expected goals are derived by cross-averaging the attack strength of one team against the defense strength of the opponent.
xGHearts=22.64+0.735=1.688
xGHibernian=22.28+0.758=1.519
Applying these xG values to the Poisson distribution formula :
- Home Win (1): 39%
- Draw (X): 25%
- Away Win (2): 36%
Step 6 & 7: Stability (K) and Equality Index (L)
Stability is calculated using the standard deviation of the three outcome probabilities, normalized by their average.
K=(μ(33.33)σ(39,25,36))×1.67=(33.336.02)×1.67=0.301
L=∣∣2.64−2.28∣−∣0.758−0.735∣∣=∣0.36−0.023∣=0.337
Step 8 & 9: Harmony Index and V3 Verdict
The Harmony Index (HI) utilizes the formula prescribed in the Master Template :
HI=(0.3012)+(1−0.3371)=6.64+1.51=8.15
The V3 Verdict is based on the probability difference: 0.39−0.36=0.03. According to the verdict scale, a value within [−0.08,0.06] results in a verdict of “X” (Draw). With an HI of 8.15, this match is classified as Medium Risk.
Quantitative Analysis: Celtic vs Livingston
Celtic Park hosts the most lopsided fixture of the round on February 11, 2026. Celtic, currently 3rd but with the league’s highest average possession (67.9%) and most touches in the opposition box (835), faces a Livingston side anchored to the bottom with only 11 points.
Step 1: Base Data and Raw Performance Metrics
Celtic has played 24 matches with 15 wins and 6 losses. Livingston has only managed 1 win in 25 matches.
| Parameter | Celtic (Home) | Livingston (Away) |
| Win Percentage (W%) | 62.50% | 4.00% |
| Draw Percentage (D%) | 12.50% | 32.00% |
| Loss Percentage (L%) | 25.00% | 64.00% |
| Goals For (GFavg) | 1.79 | 1.00 |
| Goals Against (GAavg) | 0.96 | 2.08 |
Data compiled as of Round 25.
Step 2 & 3: Calculation of Forces
ASCeltic=0.625+0.25+1.79=2.665DSCeltic=0.625−0.25+0.961=0.749ASLivingston=0.04+0.64+1.00=1.68
DSLivingston=0.04−0.64+2.081=0.675
Step 4 & 5: Expected Goals and Poisson Probabilities
xGCeltic=22.665+0.675=1.670
xGLivingston=21.68+0.749=1.215
- Home Win (1): 44%
- Draw (X): 24%
- Away Win (2): 32%
Step 6 & 7: Stability and Equality Index
K=(33.33σ(44,24,32))×1.67=0.50
L=∣∣2.665−1.68∣−∣0.749−0.675∣∣=0.911
Step 8 & 9: Harmony Index and V3 Verdict
HI=(0.502)+(1−0.9111)=4.00+11.23=15.23
V3 Difference: 0.44−0.32=0.12. A value >0.1 leads to a verdict of “1” (Home Win). The HI of 15.23 confirms this is a Medium Risk event. Despite market odds of 1.15 reflecting near-certainty, the protocol identifies the defensive resilience shown in Livingston’s high draw percentage (32%) as a factor that moderates the stability.
Quantitative Analysis: Dundee United vs Aberdeen
The match at Tannadice Park features two mid-table teams separated by only three points. Aberdeen’s poor away record (only 4 wins in 12 matches) is countered by Dundee United’s struggles at home (3 wins in 12 matches).
Step 1: Base Data and Raw Performance Metrics
| Parameter | Dundee Utd (Home) | Aberdeen (Away) |
| Win Percentage (W%) | 20.80% | 33.30% |
| Draw Percentage (D%) | 41.70% | 16.70% |
| Loss Percentage (L%) | 37.50% | 50.00% |
| Goals For (GFavg) | 1.25 | 1.08 |
| Goals Against (GAavg) | 1.67 | 1.38 |
Step 2 & 3: Calculation of Forces
ASDundeeU=1.833DSDundeeU=0.665ASAberdeen=1.913
DSAberdeen=0.824
Step 4 & 5: Expected Goals and Poisson Probabilities
xGDundeeU=1.329
xGAberdeen=1.289
- Home Win (1): 36%
- Draw (X): 29%
- Away Win (2): 35%
Step 6 & 7: Stability and Equality Index
K=0.16
L=0.079
Step 8 & 9: Harmony Index and V3 Verdict
HI=(0.162)+(1−0.0791)=13.58
V3 Difference: 0.36−0.35=0.01. Range [−0.08,0.06] dictates a verdict of “X” (Draw). HI of 13.58 classifies the match as Medium Risk. The historical trend of 1-1 draws between these two teams supports this mathematical finding.
Quantitative Analysis: Falkirk vs Dundee FC
Falkirk Stadium will host a 6th-placed home side against a 10th-placed visitor on February 11. Falkirk has demonstrated high-intensity defensive metrics, leading the league in possession won in the final third per match (4.6).
Step 1: Base Data and Raw Performance Metrics
| Parameter | Falkirk (Home) | Dundee FC (Away) |
| Win Percentage (W%) | 40.00% | 25.00% |
| Draw Percentage (D%) | 24.00% | 20.80% |
| Loss Percentage (L%) | 36.00% | 54.20% |
| Goals For (GFavg) | 1.16 | 0.79 |
| Goals Against (GAavg) | 1.28 | 1.54 |
Step 2 & 3: Calculation of Forces
ASFalkirk=1.92DSFalkirk=0.758ASDundee=1.582
DSDundee=0.801
Step 4 & 5: Expected Goals and Poisson Probabilities
xGFalkirk=1.361
xGDundee=1.170
- Home Win (1): 41%
- Draw (X): 27%
- Away Win (2): 32%
Step 6 & 7: Stability and Equality Index
K=0.35
L=0.295
Step 8 & 9: Harmony Index and V3 Verdict
HI=(0.352)+(1−0.2951)=7.13
V3 Difference: 0.41−0.32=0.09. Range [0.06,0.1] results in “1X” (Home or Draw). HI of 7.13 places this in the High Risk category.
Quantitative Analysis: Kilmarnock vs St. Mirren
A critical relegation-zone battle at Rugby Park. Kilmarnock sits 11th with only 17 points, while St. Mirren is 9th with 23 points. St. Mirren’s recent cup success has not translated to league consistency, yet they remain defensively superior to the home side.
Step 1: Base Data and Raw Performance Metrics
| Parameter | Kilmarnock (Home) | St. Mirren (Away) |
| Win Percentage (W%) | 12.00% | 20.80% |
| Draw Percentage (D%) | 32.00% | 33.30% |
| Loss Percentage (L%) | 56.00% | 45.80% |
| Goals For (GFavg) | 0.96 | 0.75 |
| Goals Against (GAavg) | 1.92 | 1.29 |
Step 2 & 3: Calculation of Forces
ASKilmarnock=1.64DSKilmarnock=0.676ASStMirren=1.416
DSStMirren=0.962
Step 4 & 5: Expected Goals and Poisson Probabilities
xGKilmarnock=1.301
xGStMirren=1.046
- Home Win (1): 42%
- Draw (X): 27%
- Away Win (2): 31%
Step 6 & 7: Stability and Equality Index
K=0.38
L=0.062
Step 8 & 9: Harmony Index and V3 Verdict
HI=(0.382)+(1−0.0621)=6.33
V3 Difference: 0.42−0.31=0.11. Value >0.1 leads to “1” (Home Win). HI of 6.33 designates this as High Risk.
Quantitative Analysis: Motherwell vs Rangers
The most balanced fixture of the round features the league’s top defense, Motherwell (13 clean sheets), against the 2nd-placed Rangers. Danny Röhl’s Rangers are highly motivated to close the gap on Hearts, but Fir Park remains a statistical fortress for defensive output.
Step 1: Base Data and Raw Performance Metrics
| Parameter | Motherwell (Home) | Rangers (Away) |
| Win Percentage (W%) | 45.80% | 56.00% |
| Draw Percentage (D%) | 41.70% | 36.00% |
| Loss Percentage (L%) | 12.50% | 8.00% |
| Goals For (GFavg) | 1.54 | 1.68 |
| Goals Against (GAavg) | 0.71 | 0.72 |
Motherwell and Rangers share the best defensive goals-conceded average in the league at 0.7.
Step 2 & 3: Calculation of Forces
ASMotherwell=2.123DSMotherwell=0.959ASRangers=2.32
DSRangers=0.833
Step 4 & 5: Expected Goals and Poisson Probabilities
xGMotherwell=1.478
xGRangers=1.639
- Home Win (1): 33%
- Draw (X): 27%
- Away Win (2): 40%
Step 6 & 7: Stability and Equality Index
K=0.32
L=0.071
Step 8 & 9: Harmony Index and V3 Verdict
HI=(0.322)+(1−0.0711)=7.33
V3 Difference: 0.33−0.40=−0.07. Range [−0.08,0.06] results in “X” (Draw). HI of 7.33 signifies High Risk.
Implications of Strategic Parity and Defensive Concentration
The 2025-2026 season has witnessed an unprecedented convergence of defensive metrics among the league’s top five. Motherwell, despite sitting fourth, has maintained a defensive profile comparable to title contenders. This structural density reduces the margin for error in traditional betting markets, where offensive superiority is often overvalued. The ‘Cara’ protocol identifies this through the Harmony Index; in matches like Motherwell vs Rangers, the high structural equality (L=0.071) would typically signal safety, but the high volatility of high-draw teams depresses the stability (K), keeping the HI in the high-risk zone.
Conversely, the lack of a “Platinum Selection” in Round 26 is a significant insight. It suggests that the league is currently in a state of statistical turbulence, where no single match offers the “stamp of security” associated with an HI>100. For the professional analyst, this serves as a warning to manage bankroll exposure during this round of fixtures.
Final Summary and Verdict Table
The following summary table provides the synthesized results for the twenty-sixth matchday of the Scotland Premiership. Each verdict is a direct product of the computational protocol defined in the Master Template.
| Fixture | Predicted Goals | Predicted Outcome | V3 Verdict | Match Category | Forecast Odds |
| Hearts – Hibernian | 1.69 – 1.52 | Draw (X) | X | Medium Risk | 3.40 |
| Celtic – Livingston | 1.67 – 1.22 | Home Win (1) | 1 | Medium Risk | 1.15 |
| Dundee Utd – Aberdeen | 1.33 – 1.29 | Draw (X) | X | Medium Risk | 3.34 |
| Falkirk – Dundee FC | 1.36 – 1.17 | Home or Draw | 1X | High Risk | 1.68 |
| Kilmarnock – St. Mirren | 1.30 – 1.05 | Home Win (1) | 1 | High Risk | 2.76 |
| Motherwell – Rangers | 1.48 – 1.64 | Draw (X) | X | High Risk | 3.60 |
Verdicts calculated as of February 10, 2026, based on all available league performance data.
Comprehensive Risk Conclusion
The algorithmic review of the twenty-sixth matchday confirms that the Scotland Premiership is presently defined by three distinct risk clusters. The most “harmonious” matches involve those with significant structural imbalances that the model can confidently isolate, such as Celtic vs Livingston and Dundee United vs Aberdeen, both of which offer a Medium Risk profile with higher Harmony Index scores. These matches should be prioritized for their relative stability.
High Risk fixtures, notably the Edinburgh Derby and the Motherwell-Rangers clash, are statistically compromised by low stability values (K), reflecting the unpredictability of teams with high draw percentages and exceptional defensive resilience. The V3 Verdicts identify three likely draws in this round, suggesting a high-friction environment where goals will be hard-earned. As no Platinum Selections were identified, the protocol advises a disciplined approach, prioritizing safety and adherence to the mathematical protocol over speculative outcomes.
