The Traps Behind the Data: A Guide to 55 Statistical Fallacies

The Blind Leading The Blind – Pieter Bruegel

Compiling these 55 fallacies was a humbling experience.

Not because I discovered other people’s mistakes, but because in nearly every example, I could recall some version I had committed myself. Not the dramatic, large-scale kind of failure, more like those everyday moments at work where you think you are rigorously analyzing data, when in reality you are just convincing yourself.

Knowing the name of a bias does not make you immune. But at least, when that feeling creeps in, you have a better chance of recognizing it sooner.


The 8 Articles in This Series

I. Sampling Bias (6 types)

Your sample does not represent your target population; the analysis is skewed before it even begins.

Survivorship Bias · Sample Selection Bias · Coverage Bias · Self-Selection Bias · Convenience Sampling Bias · Time Window Bias


II. Measurement Bias (6 types)

What you measured is not what you think you measured; the ruler itself is bent.

Social Desirability Bias · Observer Bias · Recall Bias · Instrument & Measurement Error · Confirmation Bias (Collection Phase) · Temporal & Seasonal Bias


III. Numerical Intuition Traps (6 types)

Mathematical results defy intuition; the brain systematically errs when processing probabilities and aggregated numbers.

Base Rate Fallacy · Gambler’s Fallacy · Law of Small Numbers · Simpson’s Paradox · Ecological Fallacy · Atomistic Fallacy


IV. Causal Inference (5 types)

You see a correlation and assume you have found a cause, but from correlation to causation there are specific trap mechanisms.

Confounding Factor · Reverse Causality · Collider Bias · Spurious Correlation · Mediation Fallacy


V. Cognitive Bias (7 types)

The brain has specific, well-documented systematic shortcuts during analysis and decision-making that lead you astray.

Confirmation Bias · Anchoring Bias · Availability Heuristic · Representativeness Heuristic · McNamara Fallacy · Goodhart’s Law · Path Dependence


VI. Statistical Methods (11 types)

You assume the tool is correct, but the tool’s assumptions have been violated, or you misunderstood what the tool is telling you.

Regression to the Mean · Multicollinearity · Omitted Variable Bias · Overfitting · Data Leakage · Look-ahead Bias · Extrapolation Bias · P-value Misinterpretation · Effect Size Neglect · Underpowered Study · Multiple Comparisons


VII. Experiment Design (9 types)

You assume the experiment is fair, but the design and execution of the experiment itself introduced bias.

Hawthorne Effect · Placebo Effect · Experimenter Expectancy Effect · Intervention Bias · Non-Response Bias · Questionnaire Bias · Information Bias · Detection Bias · Exclusion Bias


VIII. Presentation & Reporting (5 types)

The data itself is fine, but selective presentation or visualization skews the conclusions.

Truncated Y-Axis · Dual-Axis Manipulation · Cherry-Picking / Texas Sharpshooter · File Drawer Problem · Publication Bias


For the complete checklist, see the Debugging Your Thinking Map.