Talk:Arena da Amazônia

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Football Low‑importance

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Graphic Soccer Metric

Reading the Portuguese version of this article, I was awed by attendance figures for post-World Cup events at this stadium. In a place with over 44,000 seats, fewer than 400 people might show up! I have resolved to develop a metric that will, if not summarize a soccer game, give an idea of its circumstances: the tumult within and immediately around it. I think this will take more than just a number, but not much more: a simple image ought to serve. What I propose is an ellipse within a circle, with the following characteristics:

The circle's radius corresponds to the stadium's capacity; the ellipse's semimajor axis to the actual attendance. The two shapes share the same centerpoint.

The ellipse's eccentricity corresponds to the maximum difference in competitors' scores during regulation time. For a 0-0 tie, the inner shape would be not an ellipse but a circle.

The ellipse pivots about the centerpoint depending on the final difference in scores. The angle of the pivot would be the arc tangent of that difference. For a tie, the angle would be zero.

The output would be robust, as the statisticians say. At a glance, you could tell quite a lot about what had gone on. If you saw a tiny dot inside a big circle, you'd know right away: 0-0 in an empty stadium. Been there, done that! (Actually I haven't either, nor have I ever even heard the Portuguese equivalent of that expression, but it must exist.) But if you saw a rather flattened ellipse, angled slightly and also touching the inside of the circle, you'd know this had been a game with many changes of fortune, nevertheless with a clear victor at the end, and all in front of a great crowd. And if you saw a much rounder ellipse standing pretty much straight up, uh...is that even possible? For a big difference in the score at the end of the game would necessarily mean a big difference during the game. Unless those shootouts at the end are not considered to be happening "during" it but after it, wherefore I hazarded "regulation time" above. Jahutter (talk) 15:33, 26 July 2019 (UTC)[reply]