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An NBA study by Jenna Wiens, Guha Balakrishnan, Joel Brooks, and John Guttag from MIT examines the offensive/defensive strategy about whether it's better to crash the boards for an offensive rebound or lay back and play defense.
This detailed analysis developed the Crash Index and Retreat Index to determine which philosophy gives a team the opportunity to score more points. The study found that when a team made a big effort for the offensive rebound, it gained more than passivly staying back on defense. The study does note that it does not take player personel into account.