Knee Strength Capabilities and Slip Severity; Wyszomierski, Chambers, et al. Journal of Applied Biomechanics- May '09.
This studied the influence of knee strength on recovering from unexpected slips during self paced walking. Knee strength was determined isokinetically, so only ant/post sagittal plane was studied, & non weight bearing. No surprise, young males were stronger & recovered from their slips faster than their female counterparts. May I emphasise again, to a certain extent adolescent male athletes can get away without strength training, female athletes cannot.
In a reverse way, I use slip training as part of my ACL rehab. I buy some cheap carpet runner at Walmart, cut them up into 12" squares, and toss them randomly on a gym floor. The athletes will sprint, skip, hop or jump in 3D patterns onto the carpet & slide.
Another technique I use is to have them walk up & down grass slopes outside the school in the AM when the morning dew is on it.