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World Cup Model Accuracy and Second Round Probabilities

My model for World Cup match win probabilities is based on the FIFA rankings which are based on an Elo ranking system. I made adjustments to each team’s ranking score based on the geography. It is well established that teams from the continent of play perform better than those who have to travel farther. I do give consideration to where team players are based for club play. Below is the basic analysis of model accuracy. The blue bars represent the distribution of expected results and the red bars represent the actual model performance. (The red bars crossing over 16 and 17 mean that 16½ matches have ended in the expected outcome. The half match is how the model accounts for ties.)

The model is right on target. This means that the FIFA rankings and my adjustments are good indicators of the chances a team has of winning the match.

With that, here are the second round probabilities based on rankings updated from the first round results. Scores will be updated periodically throughout the round.

HomeAway
56%CzechiaSouth Africa44%
72%SwitzerlandBosnia and Herzegovina28%
63%CanadaQatar37%
61%MexicoKorea39%
86%BrazilHaiti14%
28%ScotlandMorocco72%
62%USAAustralia38%
57%TürkiyeParaguay43%
65%GermanyCôte d’Ivoire35%
76%EcuadorCuraçao24%
69%NetherlandsSweden31%
31%TunisiaJapan69%
75%UruguayCabo Verde25%
83%SpainSaudi Arabia17%
62%BelgiumIR Iran38%
25%New ZealandEgypt75%
41%NorwaySenegal59%
86%FranceIraq14%
76%ArgentinaAustria24%
33%JordanAlgeria67%
85%EnglandGhana15%
34%PanamaCroatia66%
77%PortugalUzbekistan23%
71%ColombiaCongo DR29%

World Cup First Round Probabilities

The World Cup started today. Here are my probabilities of all the first round matches. Scores updated at the end of the first round.

HomeAway
75%Mexico20South Africa25%
59%Korea21Czechia41%
69%Canada11Bosnia and Herzegovina31%
68%USA41Paraguay32%
31%Qatar11Switzerland69%
52%Brazil11Morocco48%
33%Haiti01Scotland67%
47%Australia20Türkiye53%
84%Germany71Curaçao16%
59%Netherlands22Japan41%
44%Côte d’Ivoire10Ecuador56%
52%Sweden51Tunisia48%
87%Spain00Cabo Verde13%
66%Belgium11Egypt34%
27%Saudi Arabia11Uruguay73%
79%IR Iran22New Zealand21%
67%France31Senegal33%
40%Iraq14Norway60%
78%Argentina30Algeria22%
69%Austria31Jordan31%
75%Portugal11Congo DR25%
61%England42Croatia39%
32%Ghana10Panama68%
27%Uzbekistan13Colombia73%

Amazing Grace Now Available

Lunar Motion is pleased to announce the release of a new arrangement of Amazing Grace for SATB choir and organ.

This setting features a distinctive organ accompaniment inspired by the atmosphere and grandeur of the Scottish Highlands, providing a fresh musical perspective on one of Christianity’s most beloved hymns. Designed to support amateur choirs, the arrangement combines expressive lyricism with practical accessibility, making it suitable for worship services, sacred concerts, and special occasions.

The arrangement is written for soprano, alto, tenor, and bass voices with organ accompaniment and is crafted to be approachable for a wide range of church and community choirs while offering meaningful musical interest for singers and organists alike.

Sheet music is now available through Sheet Music Direct.

View the score and purchase a copy here:

https://www.sheetmusicdirect.com/se/ID_No/2027929/Product.aspx

Lunar Motion remains committed to creating quality sacred and concert music for performers, directors, and congregations. We invite choirs and church musicians to explore this new setting of Amazing Grace and consider it for upcoming performances and worship services.

Echoes in the Grove

Lunar Motion Music is pleased to announce the release of Echoes in the Grove, an original concert work for percussion ensemble.

Inspired by the interplay of sound and silence within a secluded woodland setting, Echoes in the Grove explores layers of texture, resonance, and rhythmic motion. The piece invites performers and audiences alike into an immersive musical landscape where melodic fragments emerge, transform, and fade like distant voices carried through the trees.

Written for developing and intermediate percussion ensembles, the work balances musical accessibility with engaging ensemble writing, making it suitable for concerts, festivals, and educational performance settings.

Echoes in the Grove is now available through the following retailers:

Thank you for supporting new music and Lunar Motion Music. We look forward to hearing your performances of Echoes in the Grove.

Final 2025-2026 College Football Rankings

RankTeam
1Indiana
2Ohio State
3Oregon
4Texas Tech
5Miami
6Notre Dame
7Utah
8Ole Miss
9Georgia
10BYU
11USC
12Iowa
13Texas A&M
14Washington
15UConn
16Arizona
17North Texas
18James Madison
19Vanderbilt
20Virginia
21SMU
22Illinois
23Louisville
24Michigan
25Oklahoma

College Football Rankings

Going into the championship game tomorrow, here are the current rankings.

RankTeam
1Indiana
2Texas Tech
3Ohio State
4Notre Dame
5Utah
6Ole Miss
7Georgia
8Oregon
9Miami
10BYU
11Texas A&M
12Arizona
13Vanderbilt
14UConn
15Oklahoma
16Alabama
17North Texas
18Texas
19USC
20Iowa
21James Madison
22Houston
23Washington
24Tennessee
25Virginia

College Football Rankings

With conference championship games behind us, here are the new rankings.

RankTeam
1Texas Tech
2Indiana
3Ohio State
4Notre Dame
5Georgia
6Texas A&M
7Oregon
8Ole Miss
9UConn
10Utah
11Vanderbilt
12BYU
13Arizona
14Oklahoma
15Miami
16Alabama
17James Madison
18USC
19North Texas
20Iowa
21Tennessee
22Texas
23South Florida
24Michigan
25Missouri

College Football Rankings

Adjustments once again to the division power and conference strengths as well as a top four upset resulted in some shifting of the rankings for the last week of the regular season.

RankTeam
1Ohio State
2Indiana
3Texas Tech
4Notre Dame
5BYU
6Oregon
7Georgia
8Utah
9Texas A&M
10UConn
11Ole Miss
12Arizona
13Vanderbilt
14Alabama
15Miami
16Oklahoma
17North Texas
18USC
19James Madison
20Iowa
21Michigan
22South Florida
23Houston
24Tennessee
25Texas

College Football Rankings

Several out-of-conference games last week shifted the conference strengths around a bit which resulted in different starting ratings for the teams. That translated downstream to some shifts in the rankings this week, notably Texas Tech ranking 4th this week, down from 1st the last few weeks.

RankTeam
1Ohio State
2Indiana
3Texas A&M
4Texas Tech
5Notre Dame
6Georgia
7Ole Miss
8Oregon
9UConn
10Alabama
11Oklahoma
12Vanderbilt
13BYU
14Utah
15Tennessee
16Arizona
17Michigan
18Miami
19Texas
20Washington
21USC
22North Texas
23James Madison
24Missouri
25Iowa

Turf Over Red

Hobbiton, New Zealand. © 2024 John Schneider. All rights reserved.