Studies

Scientific background

The key studies and papers behind the models LabOfMetrics uses. These are the foundations on which the forecasting methods rest.
01

Evaluating profitability in sports betting using probabilistic models and betting strategies

Pál, J.G. & Bíró, Cs. · 2025

Open access

The study LabOfMetrics is built on. It compares six forecasting models (including the in-house Veto and Balance heuristics) and five betting strategies over 539 real matches, with 300,000 model–strategy simulations in total. In the study the Veto + Kelly combination came out best; our later walk-forward research over 50,000+ matches did not confirm this as a durable edge.

VetoBalanceKelly criterionvalue bettingsimulationown research
02

Modelling Association Football Scores and Inefficiencies in the Football Betting Market

Dixon, M.J. & Coles, S.G. · 1997

Open access

One of the best-known football-statistics papers, which introduces the Poisson-based goal model (with the joint distribution of home/away goal counts) and demonstrates the efficiency gaps of the betting market.

Poissongoalsstatisticsfoundational
03

The Wisdom of Crowds in Prediction Markets

Surowiecki, J. · 2004

Shows why betting markets (odds) reflect true probabilities surprisingly accurately, and when they do not. Essential reading for understanding CLV (Closing Line Value).

marketsoddsCLVcollective intelligence
04

Using ELO ratings for match result prediction in association football

Hvattum, L.M. & Arntzen, H. · 2010

Open access

An Elo-based model for predicting football matches. It examines whether Elo ratings can beat the bookmakers, and under what conditions.

Elopredictionmodelodds
05

Probabilistic forecasts, calibration and sharpness

Gneiting, T., Balabdaoui, F. & Raftery, A.E. · 2007

Open access

A foundational paper on evaluating probabilistic forecasts: calibration (how accurate the probabilities are) vs. sharpness (how “bold” they are). The theoretical background of the Brier Score and Log Loss metrics.

calibrationBrier Scoreevaluationstatistics
06

A machine learning framework for sport result prediction

Bunker, R.P. & Thabtah, F. · 2019

Open access

A machine-learning framework for predicting sports results: it presents the steps of the learning process and the application of methods (e.g. neural networks) in sports forecasting.

machine learningframeworksports forecasting
07

Expected Goals (xG) Methodology in Football

Rathke, A. · 2017

A detailed analysis of the Expected Goals (xG) metric: how it is calculated, what it actually measures, and how it relates to real performance. xG is now a standard metric in football analysis.

xGExpected Goalsfootball analytics
08

The Kelly Criterion in Blackjack, Sports Betting and the Stock Market

Thorp, E.O. · 2008

The practical application of the Kelly criterion in betting. It shows how to optimise stake size to maximise expected winnings while accounting for risk.

Kelly criterionstake sizeriskbankroll management
09

Evaluating the effectiveness of betting models

Joseph, A., Fenton, N.E. & Neil, M. · 2006

A Bayesian-network model for football, and a systematic method for evaluating the effectiveness of models. Useful for understanding the trade-off between ROI and calibration.

Bayesianmodel evaluationROIcalibration