§ Rankings · Power vs Reality · the draw effect
Your strength, and the bracket you actually drew
Two rankings, not one. Power is fixture-free strength — a team's title odds if the bracket were re-drawn fairly, averaged over 500 re-draws (1.0M simulations). Reality is the locked forecast: the odds it actually carries into the draw it landed. Draw-luck is the gap, Reality − Power.
The headline is that the draw is close to fair: the largest swing is +0.41 of a percentage point of title probability (Brazil, the toughest path), and 29 of the 48 teams sit inside a ±0.04 pp band that is indistinguishable from a perfectly fair draw. The favourites are near-neutral — Argentina −0.15, Spain +0.07 — so the title race is not being decided by the bracket. With the Monte-Carlo error this small, the sign of the effect is still resolvable for 17 of 48 teams; it is the magnitude, not the certainty, that is modest.
The one contender story worth telling sits at the top. On raw Power, Brazil leads England by +0.66 pp. But the draw breaks the other way: England got the softer path (+0.23) and Brazil the tougher one (−0.41), a relative swing of +0.64 pp that all but erases the gap — in the actual bracket they finish level, Brazil ahead by just +0.02 pp, and the two can first meet only in the Round of 16. Among teams whose move is statistically resolvable, Canada climbs furthest on a kind draw and Jordan slips most on a hard one. All effects carry the project's n = 3 ceiling: this is a Monte-Carlo measurement of this draw, not a claim about how lucky a typical World Cup draw is.
§ 01
Power vs Reality
The two rankings side by side. Left axis = fixture-free Power; right axis = the actual draw. Each line's tilt is its draw-luck.
Fig. V8 Top 16 · confederation-coloured · shared √-scale
Power vs Reality — the title-odds re-rank
Connect each team's fixture-free strength (left) to the odds it carries into the real bracket (right). A line sloping up means the draw helped; sloping down, it hurt. Most lines are near-flat — the draw rarely reshuffles the order.
England is the clearest mover at the top: a softer path pulls it level with Brazil, reversing a +0.66 pp Power deficit to a near-tie in Reality.
§ 02
The draw-luck tornado
Reality − Power, per team, in percentage points. Blue = a softer-than-fair path; red = a tougher one. Bars carry the ±95% Monte-Carlo whisker; ◆ marks a draw whose sign clears 2× the combined MC-SE.
Fig. V9 Diverging · top 20 · significance-flagged
Draw-luck — who the bracket helped, and who it hurt
Belgium drew the softest path (+0.41); Brazil the toughest (−0.41). The whole axis spans well under a single percentage point of title probability — the bracket nudges, it does not decide.
Even the extremes move title odds by only tenths of a point. 17 of 48 bars clear the 2×-SE significance bar, but the magnitudes stay small — the draw is close to fair.
§ 03
Strength vs luck
Power on the horizontal (how strong you are), draw-luck on the vertical (how kind the draw was), bubble area = Reality champion share, colour = confederation.
Fig. V8b Top 20 · bubble area ∝ champion % · √ x-axis
Strength vs luck — are the strong teams also the lucky ones?
If the draw systematically favoured (or punished) the strongest teams, the cloud would tilt. It does not: draw-luck is scattered around the fair-draw line with no trend in Power — strength and luck are independent, as a fair draw should make them.
The big bubbles straddle the fair-draw line: Brazil below it, England above, Argentina essentially on it. Being a favourite buys you no protection from — and no help from — the bracket.
§ 04
The full two-ranking table
All 48 teams: Power, Reality, the rank move between them, and draw-luck with a ◆ where the sign is statistically resolvable. Click any column to sort.
| Pwr # | Team | Confed | Power | Reality | Rlty # | Move | Draw luck |
|---|---|---|---|---|---|---|---|
| 1 | 🇦🇷Argentina | CONMEBOL | 16.61%±0.06 | 16.45%±0.12 | 1 | — | −0.15 |
| 2 | 🇪🇸Spain | UEFA | 15.88%±0.06 | 15.95%±0.12 | 2 | — | +0.07 |
| 3 | 🇧🇷Brazil | CONMEBOL | 9.39%±0.04 | 8.98%±0.09 | 3 | — | −0.41◆ |
| 4 | 🇫🇷France | UEFA | 9.09%±0.04 | 8.94%±0.09 | 5 | ▼1 | −0.15 |
| 5 | 🏴England | UEFA | 8.73%±0.04 | 8.96%±0.09 | 4 | ▲1 | +0.23◆ |
| 6 | 🇵🇹Portugal | UEFA | 6.01%±0.03 | 6.16%±0.08 | 6 | — | +0.14 |
| 7 | 🇳🇱Netherlands | UEFA | 5.23%±0.03 | 4.85%±0.07 | 7 | — | −0.37◆ |
| 8 | 🇨🇴Colombia | CONMEBOL | 4.06%±0.02 | 4.09%±0.06 | 8 | — | +0.03 |
| 9 | 🇩🇪Germany | UEFA | 3.90%±0.02 | 3.89%±0.06 | 9 | — | −0.01 |
| 10 | 🇳🇴Norway | UEFA | 2.53%±0.02 | 2.42%±0.05 | 11 | ▼1 | −0.11◆ |
| 11 | 🇧🇪Belgium | UEFA | 2.07%±0.02 | 2.48%±0.05 | 10 | ▲1 | +0.41◆ |
| 12 | 🇪🇨Ecuador | CONMEBOL | 1.91%±0.02 | 1.87%±0.04 | 13 | ▼1 | −0.04 |
| 13 | 🇲🇦Morocco | CAF | 1.89%±0.02 | 1.97%±0.04 | 12 | ▲1 | +0.08 |
| 14 | 🇯🇵Japan | AFC | 1.88%±0.02 | 1.65%±0.04 | 16 | ▼2 | −0.23◆ |
| 15 | 🇭🇷Croatia | UEFA | 1.75%±0.01 | 1.78%±0.04 | 14 | ▲1 | +0.03 |
| 16 | 🇨🇭Switzerland | UEFA | 1.53%±0.01 | 1.72%±0.04 | 15 | ▲1 | +0.19◆ |
| 17 | 🇺🇾Uruguay | CONMEBOL | 1.38%±0.01 | 1.37%±0.04 | 17 | — | −0.02 |
| 18 | 🇲🇽Mexico | CONCACAF | 1.06%±0.01 | 1.14%±0.03 | 18 | — | +0.07◆ |
| 19 | 🇹🇷Türkiye | UEFA | 0.96%±0.01 | 1.03%±0.03 | 19 | — | +0.07 |
| 20 | 🇦🇹Austria | UEFA | 0.58%±0.01 | 0.55%±0.02 | 20 | — | −0.03 |
| 21 | 🇵🇾Paraguay | CONMEBOL | 0.55%±0.01 | 0.54%±0.02 | 21 | — | −0.01 |
| 22 | 🇸🇳Senegal | CAF | 0.52%±0.01 | 0.45%±0.02 | 22 | — | −0.07◆ |
| 23 | 🇮🇷IR Iran | AFC | 0.33%±0.01 | 0.45%±0.02 | 23 | — | +0.11◆ |
| 24 | 🇩🇿Algeria | CAF | 0.32%±0.01 | 0.29%±0.02 | 25 | ▼1 | −0.03 |
| 25 | 🇦🇺Australia | AFC | 0.25%±0.01 | 0.25%±0.02 | 27 | ▼2 | −0.00 |
| 26 | 🇨🇦Canada | CONCACAF | 0.23%±0.01 | 0.31%±0.02 | 24 | ▲2 | +0.08◆ |
| 27 | 🇨🇮Côte d'Ivoire | CAF | 0.23%±0.00 | 0.23%±0.02 | 28 | ▼1 | −0.00 |
| 28 | 🇨🇿Czechia | UEFA | 0.22%±0.00 | 0.28%±0.02 | 26 | ▲2 | +0.06◆ |
| 29 | 🏴Scotland | UEFA | 0.21%±0.00 | 0.22%±0.01 | 29 | — | +0.01 |
| 30 | 🇰🇷Korea Republic | AFC | 0.18%±0.00 | 0.22%±0.01 | 30 | — | +0.03◆ |
| 31 | 🇺🇸USA | CONCACAF | 0.15%±0.00 | 0.17%±0.01 | 31 | — | +0.01 |
| 32 | 🇸🇪Sweden | UEFA | 0.15%±0.00 | 0.15%±0.01 | 32 | — | −0.00 |
| 33 | 🇪🇬Egypt | CAF | 0.11%±0.00 | 0.12%±0.01 | 33 | — | +0.02 |
| 34 | 🇨🇩Congo DR | CAF | 0.03%±0.00 | 0.02%±0.00 | 35 | ▼1 | −0.01◆ |
| 35 | 🇹🇳Tunisia | CAF | 0.02%±0.00 | 0.01%±0.00 | 37 | ▼2 | −0.01 |
| 36 | 🇺🇿Uzbekistan | AFC | 0.01%±0.00 | 0.02%±0.00 | 34 | ▲2 | +0.01 |
| 37 | 🇧🇦Bosnia and Herzegovina | UEFA | 0.01%±0.00 | 0.02%±0.00 | 36 | ▲1 | +0.01◆ |
| 38 | 🇿🇦South Africa | CAF | 0.00%±0.00 | 0.01%±0.00 | 39 | ▼1 | +0.00 |
| 39 | 🇬🇭Ghana | CAF | 0.00%±0.00 | 0.00%±0.00 | 41 | ▼2 | −0.00 |
| 40 | 🇵🇦Panama | CONCACAF | 0.00%±0.00 | 0.01%±0.00 | 38 | ▲2 | +0.00 |
| 41 | 🇮🇶Iraq | AFC | 0.00%±0.00 | 0.00%±0.00 | 42 | ▼1 | −0.00 |
| 42 | 🇯🇴Jordan | AFC | 0.00%±0.00 | 0.00%±0.00 | 48 | ▼6 | −0.00◆ |
| 43 | 🇸🇦Saudi Arabia | AFC | 0.00%±0.00 | 0.00%±0.00 | 40 | ▲3 | +0.00 |
| 44 | 🇳🇿New Zealand | OFC | 0.00%±0.00 | 0.00%±0.00 | 46 | ▼2 | −0.00◆ |
| 45 | 🇨🇻Cabo Verde | CAF | 0.00%±0.00 | 0.00%±0.00 | 43 | ▲2 | +0.00 |
| 46 | 🇭🇹Haiti | CONCACAF | 0.00%±0.00 | 0.00%±0.00 | 47 | ▼1 | −0.00 |
| 47 | 🇶🇦Qatar | AFC | 0.00%±0.00 | 0.00%±0.00 | 45 | ▲2 | 0.00 |
| 48 | 🇨🇼Curaçao | CONCACAF | 0.00%±0.00 | 0.00%±0.00 | 44 | ▲4 | 0.00 |
How Power, Reality and draw-luck are built
Reality is the locked forecast: title odds from 100,000 Monte-Carlo simulations of the actual bracket (the official R32→Final wiring). Power strips out fixture luck by re-drawing the bracket 500 different ways (2,000 sims each, 1.0M total) under identical team kernels and the same simulator, then averaging — so it estimates how a team would fare against a fair distribution of paths. Draw-luck is simply Reality − Power.
A draw-luck value is flagged significant (◆) only where its magnitude exceeds twice the combined Monte-Carlo standard error, 2 × √(SEPower² + SEReality²) — i.e. the sign of the effect is resolvable above simulation noise. 17 of 48 teams clear that bar. This is a statement about the precision of the measurement, not its importance: every effect on this page is under +0.41 pp of title probability. And it is one draw — at an effective n = 3 tournaments of out-of-sample history, we measure the luck in this bracket precisely, but make no claim about how lucky a typical World Cup draw is.