AbeBeta
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For example - in 2010, under Mike Woicik's program, Patriots players listed as "Questionable" played with that injury designation on the report only 32.56% of the time (86 iterations reported, 28 times played). By contrast, the Cowboys, under Joe J, played 40/58 times for a rate of 68.97%.
In 2012, after a full year under Woicik, the Cowboys players only played when "Questionable" 51.96% of the time (53/102). New England? 71.37%, or 172 out of 241. As @CowboyMike pointed out, sure - perhaps Belichick was reporting more guys as Questionable to thumb his nose at the league (which I acknowledge in the OP, if anybody read it); still, when you're comparing Woicik against Woicik, the numbers are similar -- fewer guys recover and are available for a game to play under Woicik than not under Woicik, regardless of the overall numbers of the injury reports over an entire season.
As I said, I believe it is a testament to the staff. Under different guidance, despite players being listed as "Questionable" or "Probable" (which, by the way, aren't "how injured" they are, but simply speak to their practice participation), players were able to go through rehab in practice and then play on Sundays more often under a different S&C staff than under Woicik's watch.
He might have been a pro in 1992, but I am concerned that the staff's methods are outdated for what is a new and different kind of professional athlete now, nearly 30 years later. Why do people acknowledge different eras when comparing position players, but refuse to do the same thing when it comes to something that has changed radically in the last 25 years like strength training and conditioning?
In 2010 the Cowboys were near the bottom of the league in starter games lost to injury. 5th lowest in the league.
That happened under Joe J. It was worse the next year under Woicik.
You can look at that and attribute it to the trainers. However what we have is one year where we were substantially below average. Under a completely random process we would expect to come back toward the league average the next year - a concept termed regression to the mean. A common failure in amateur statistical analysis is to attribute random processes to events that happened at the same time. Often that is done when someone goes in with a specific expectation. The data look like you want them to but could just as easily suggest random fluctuations and other processes (e.g. difference in reporting)