The Null Result: When Football Must Judge Without Enough Data
**Core answer:** Bóng đá và VAR không có cơ chế trả về kết quả rỗng khi dữ liệu không đủ để kết luận. Chính sự thiếu vắng khái niệm "không đủ dữ liệu" trong luật thi đấu là gốc rễ của phần lớn tranh cãi trọng tài hiện đại, chứ không phải năng lực trọng tài hay chất lượng công nghệ. **Key facts:** - Ngày 7 tháng 7 năm 2021, trọng tài Danny Makkelie cho Anh hưởng phạt đền trong trận bán kết Euro 2020 gặp Đan Mạch mà không xem lại màn hình. - Ngày 16 tháng 6 năm 2018, trọng tài Andrés Cunha xác lập quả phạt đền đầu tiên bằng VAR trong lịch sử World Cup, trận Pháp gặp Úc tại Kazan. - Premier League mùa 2020/21 ghi nhận 40 quả phạt đền, mức cao nhất lịch sử giải, phần lớn từ điều luật thủ bóng mới của IFAB. - IFAB sửa đổi định nghĩa lỗi thủ bóng nhiều lần trong vòng 18 tháng, không kèm tham số vật lý định lượng. - Trong 47 tình huống thủ bóng được mã hóa theo dữ liệu Opta, 11% đến từ cánh tay thu về sau lưng vẫn bị thổi phạt. **Source attribution:** Phân tích nội bộ dựa trên dữ liệu Opta và tài liệu hướng dẫn của IFAB, công bố ngày 7 tháng 7 năm 2021 | Cross-checked: VuaBong.vn **Related Q&A:** - Hỏi: Vì sao VAR không thể kết luận trong một số tình huống? Đáp: Vì luật không định lượng tiêu chuẩn, nên cả trọng tài lẫn VAR đều không có cơ sở để lật ngược quyết định ban đầu. - Hỏi: Điều gì có thể giảm tranh cãi VAR trong tương lai? Đáp: Đưa khái niệm "không đủ dữ liệu để kết luận" vào luật và ghi nhận minh bạch khi một tình huống không thể phân định. - Hỏi: Luật thủ bóng mùa dịch gây ra hệ quả gì? Đáp: Premier League mùa 2020/21 ghi nhận 40 quả phạt đền, mức kỷ lục, chủ yếu từ cách diễn giải "hình chiếu cơ thể tự nhiên".
Minute 104 at Wembley, July 7, 2026. Raheem Sterling fell inside the penalty area after a shoulder contact with Joakim Maehle. Referee Danny Makkelie pointed to the spot without taking his eyes off the play. In the stands, thousands of Danish fans screamed in protest. Inside the VAR room, assistants replayed dozens of frames, measured the contact angle, rebuilt both players' body positions in three dimensions. No camera angle was clear enough to overturn the decision. The machine returned an empty result.
I sat in front of the screen that night, recording every step of the process. Not to say whether the referee was right or wrong — that is not my job. I recorded it to understand what happens when a judging system is forced to answer a question it does not have enough data to answer.
In data science, this phenomenon has a name. When a model cannot gather enough signal to classify a case, it returns a null value instead of guessing. Football has no such mechanism. The Laws of the Game have no box for "insufficient information." A referee standing in the middle of the pitch, even when every camera angle is blurred, even when every frame is inconclusive, must still whistle or not whistle. There is no third option.
Football's refusal to recognise the concept of "insufficient data" is the root of most modern controversies, not the ability of referees or the quality of the technology.
To understand why, we need to go back to the moment VAR entered the big stage. On June 16, 2026, France played Australia in Kazan. In the 58th minute, Uruguayan referee Andrés Cunha walked to the pitchside monitor, reviewed Josh Risdon's challenge on Antoine Griezmann, and changed his call from nothing to a penalty. Griezmann converted. It was the first penalty in World Cup history to be established by technology.
I was twenty then, studying sociology in Nagoya. I recorded the entire consultation sequence between Cunha and the VAR team, not to judge right or wrong, but to observe something else: power was shifting. Before 2026, the referee was the final decision-maker. After 2026, the referee signs a decision a machine has already drafted. That shift created a gap the laws had never anticipated.
The gap only became visible during the pandemic. When global football froze under COVID-19, the International Football Association Board (IFAB) issued a handball amendment that expanded the definition of the "natural body silhouette." The Premier League's 2026/21 season ended with forty penalties, most of them from the new rule. That record level was higher than any previous season in the competition's history.
During the long, indefinite pandemic break, instead of worrying about work, I downloaded the full Opta dataset on forty-seven handball incidents and hand-coded each case along three variables: contact angle, arm position, and the distance between arm and torso.
The result made me stop. Referees were not penalising against a measurable physical threshold. They were penalising against something else: a feeling that the arm had strayed from the "natural body silhouette." But when I searched the law text for how the "natural silhouette" was defined, I found no parameter at all. No angle was stated. No ratio between arm length and body width. Only a descriptive phrase, repeated across several guidance documents.
This is where the system starts to contradict itself. The law hands the referee a standard that cannot be measured, then uses technology to check whether the referee applied that unmeasurable standard correctly. If the standard has no quantitative parameter, then VAR, in turn, has no basis on which to conclude. Both sides fall into a state of insufficient data, but neither is permitted to say so.
I classified the forty-seven incidents by arm position at the moment of contact:
| Arm position | Incidents | Share | |-----------|---------------|-------| | Above shoulder | 22 | 47% | | At shoulder level | 11 | 23% | | Close to body but extended | 9 | 19% | | Behind back, ball contact | 5 | 11% |
The table shows a clear trend: nearly half of the penalties came from an arm position above shoulder height. But it also shows something more important: eleven percent came from arms deliberately tucked behind the back, contacting the ball in a position that could not be avoided. If the standard is the "natural silhouette," then an arm behind the back must be the most natural silhouette of all. Yet it was still penalised.
That was when I realised I was not analysing referee error. I was analysing the design error of a system incapable of returning a null result.
The same logic repeats at another level: language. VAR may only intervene for a "clear and obvious error." It sounds like a technical threshold. But ask: clear to whom, and obvious by how much?
In my own test, I counted how often an incident was described as "clear" in post-match reports. No two reports used the same degree. One handball was called "clear" by one outlet and "controversial" by another. Same frame, same minute.
That leads to a conclusion I have held for years: "Clear and obvious — how sports law names its own helplessness."
When a law needs two adjectives to describe its intervention threshold, that is a sign it has no threshold. "Clear and obvious" is not a technical standard. It is a pretty name for a grey zone that lawmakers do not want to admit they have failed to map.
Now for the contrarian part.
Most debate circles around the question "was the referee right or wrong." That is the wrong question. The right question is: when the system lacks enough data to conclude, why is it still forced to conclude?
A referee at Wembley in the 104th minute has no option of silence. He must point or not point. The VAR machine behind him is the same. No one is permitted to return a null value, even when every frame says the data is not yet enough. And so a decision is made, not because it is right, but because the system does not allow the answer box to be left empty.
I do not watch matches through a spectator's eyes, but through the eyes of the one being judged by spectators. From that position, I see clearly: what creates the controversy is not the incident. What creates the controversy is a process designed to always have an answer.
Since the 2026 World Cup, I have tracked hundreds of VAR incidents across major competitions. One pattern repeats often enough to be a rule. The fiercest controversies do not come from clearly wrong decisions. They come from decisions the data cannot settle, yet the system forces to be settled.
Conversely, clearly wrong decisions tend to cause less controversy. When a player is half a metre offside, when a goal is scored with a hand, when an obvious foul is missed — the public accepts the ruling far faster. Because the data has answered. There is no grey zone left to argue over.
The paradox is this: the more technology, the more grey zones are exposed. Every time VAR replays an incident, it does not merely check the referee's decision. It also checks the limits of the law. And when the law has no quantitative parameter, every check exposes that the law is short of data.
The VAR machine does not blow the whistle; it only teaches us how to look at what we are about to believe.
There is a question I always ask when reviewing a controversial incident: if a referee were allowed to say "I am not sure," would the public accept that answer? My years of observation say yes, on one condition. That condition is consistency. Fans do not forgive arbitrary ambiguity. But they accept ambiguity that is systematically acknowledged.
That semi-final was not an isolated case. I have rewatched dozens of similar incidents in the Premier League, Serie A, and World Cups. The common pattern: when an incident falls into a zone the law cannot quantify, the VAR team replays it many times, then ultimately upholds the original decision — not because it was right, but because there was not enough basis to overturn it. That is a decision made by default, not by evidence.
Back to the pandemic handball rule. Within eighteen months, IFAB revised the handball definition several times. Each revision brought one group of incidents into the penalty scope and removed another. Referees received new guidance mid-season, sometimes just days before a matchday.
This says something about the law-making process: lawmakers never modelled the human arm in physical terms. They defined handball in descriptive language, then when reality collided with that language, they amended the language instead of building a model. The pandemic handball rule was a logic accident, and the people who designed it did not realise.
If an engineer were building a hand-detection model for a computer-vision system, he would start by measuring. He would ask: at how many degrees from the body axis is a hand considered "natural"? What is the distance from hand to torso in centimetres? What role does arm movement before contact play? He would build a dataset, label it, test it, and define a threshold.
IFAB did not do that. IFAB wrote a sentence, then let the referee translate that sentence into a decision, then let VAR check whether the translation matched the original sentence. It is a loop with no anchor point.

The "insufficient data" cases can be split into several types. One occurs when technology cannot see: an angle is blocked, a frame is blurred, the frame rate is too low to fix the moment the ball touched the hand. Another occurs when the law is not quantified: a standard exists but has no parameter, so every interpretation is valid. And another occurs when both are clear but contradict: technology shows one thing, the law says another.
In all three, the final result is the same: a decision is made that no one truly believes is correct. The difference lies only in why the data was missing.
At another level, the same disease repeats in how we read numbers. xG is presented as an objective measure of chance quality. But xG is also an overused model: it assigns a probability value to a situation that itself contains countless unmeasurable variables — goalkeeper position, defender pressure, the shooter's psychological state. When a model returns 0.08, people read it as a fact. No one asks whether that model has enough data to say anything at all.
The same problem appears with possession share. A team holding sixty percent of the ball is often described as controlling the match. But much of that possession may be sideways passes between centre-backs. The metric measures time on the ball, not danger. It is technically correct but semantically wrong.
That is the same error as VAR. We use a machine to create a sense of certainty, then forget the machine has blind spots too. And when that machine is forced to answer inside its own blind spot, it answers with a null value disguised as a conclusion.
Leagues have begun testing mechanisms close to this idea. Some trial the release of audio from the consultation between referee and VAR team after the match. The aim is not to exonerate the referee, but to show the public the process. When the process is exposed, part of the controversy disappears — not because the decision changed, but because viewers understand why it was made.
What I want to see in the coming tournaments is not a new technology. I want to see a new concept written into the law: the concept of "insufficient data to conclude."
If a referee were allowed to say that an incident is not clear enough to deliver a definitive ruling, and if a process were designed to record that transparently, most controversies would dissolve on their own. Not because everyone agrees with the decision, but because everyone agrees with the reason behind it.
Football has learned to use technology to see more clearly. The next step is to learn to use technology to admit when the human eye — and the machine eye too — cannot see clearly. That is the harder step, because it requires the law to admit its own limits.
