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Quality stats are a metric that Court Rivals uses to determine which box score lines that players earn really matter. A lot of times, teams may play inferior competition and fill up the box score. While there's nothing to stop someone on a Pro team from putting up 40 rebounds in a game against a Playground team, a stat line along that wave length will not be recorded as a quality stat.
A quality stat is a stat earned in a game where two criteria are met:
1. Both teams have at least 9 players
2. Each team is within 4 divisions of one another (e.g. a Pro A team would put up a quality stats line against Pro A, Pro B, Pro C, Pro D, and College A)
Info came from: http://www.courtrivals.com/knowledgebase.php?a=23