Benjamin Hoffman

Observed in more than one division. D3 2022 at 3 involvements in 6 nineties (0.48/90), then D2 2024-2025 at 0.77/90. These two rates are not directly comparable, which is exactly what the level model is being built to resolve.

Career

Season	Div	Team	Pos	GP	90s	G	A	raw/90	adj/90	sched	rank	pct
2025	D2	AUM	FWD	15	12.7	8	3	0.746	0.729	0.98	96	96
2024	D2	AUM	FWD	19	14.4	7	2	0.590	0.614	1.06	221	92
2022	D3	Viterbo	·	7	6.3	2	1	0.368	0.301	0.70	2089	61
Career	D2 + D3	2 teams		41	33.4	17	6	0.426	0.421

The career row totals only what can be totalled. Schedule, rank and percentile are blank because each one is a position inside a single division-season, so there is no career version of them, and the best season's percentile is not one. The career raw/90 and adj/90 are every season put on the D1 scale and weighted by minutes, which is the only way to total a rate across divisions. The level ladder is measured from 665 players observed in two divisions, in both directions, so it is a within-player comparison rather than a guess. A goal in D2 counts as 0.72 of a D1 goal. A goal in D3 counts as 0.55 of a D1 goal. Treat it as a translation, not a projection. The ladder is an average over players who moved, and most of them were mid-table, so applying it to someone far out in his division's tail assumes the gap is the same size up there. The mover sample cannot check that.

2025 · every game by opponent strength

Each circle is one game, placed by how strong the opponent was and how many goal involvements he had. Filled circles are games he scored or assisted in. He drew 55% of his involvements against the weaker half where 49% was expected given the schedule he played (p = 0.484). That is within the normal range.

2025 game log