We demonstrate a novel way to analyze lineup usage among sports teams, and to use bootstrap methods to validate the results. We use a weighted simplicial complex to capture information about which groups of players are in lineups together, rather than using network methods, which are restricted to pairs of players. As an example, we analyze the 2024-2025 NBA season. The results reflect different approaches to roster construction and usage. Applications include predicting improvement in team winning percentage from year to year, measuring the importance of individual players and groups of players to lineup flexibility, and the effect of a team’s lineup choices on those of its opponent, as well as applications to other sports.