Are the differences in the percentages statistically significant?
I'm inclined to thing they aren't; the basic story is that SLSA airplanes suffer Pilot Miscontrol accidents at about the same rate as traditional trainers.
I'd love a larger sample size; I've got about 417 SLSA airplane accidents compared to 300 C152 accidents. For the "Bounce or Hard Landing" category, the both had about 80 instances, but with more accidents involving SLSAs, the percentage is lower. According to the FAA Annual Survey, SLSAs fly about 33% more than the overall rate for two-seat airplanes.
What gets fun is comparing the Cessna 152 with another famous training aircraft. This aircraft suffered over 500 accidents over the same time period. Yellow shows the Cessna 152, black shows the mystery trainer.
Could make this another guess-the-airplane game, but I'll ruin it early: The black bar is Cessna 150s...aircraft almost identical to the 152, with the main difference being the engine.
So what happened? I'm guessing the 150s are largely being flown as personal aircraft, while the 152s are in heavier use as trainers. Nineteen percent of the 152 accidents had the PIC as a Student, vs. 11% of the C150s. Light Sport Airplanes had about the same percentage as the C152, which was the main driver for picking it for comparison. C172s were 14%.
This was borne out to some extent by the median total time of the pilots involved. Pilots in the 152 accident had a median of about 105 hours total time, way less than the 395 hours of the 150 pilots.
One of the odd things when comparing the C152 to the C150 was the percentage of time accidents involved a loss of engine power (whether it was the engine's fault or not). Twenty-seven percent of Cessna 152 accidents involved loss of power, vs. 39% of 150 accidents. 15% for C172s, 19% for SLSA airplanes.
The 152 actually had a higher rate of engine mechanical issues, roughly twice that of the 150. The 150, on the other hand, has twice the rate of engine failures due to fuel exhaustion. I think this again reflects the fact that the 150 fleet is being flown as personal aircraft, and less as trainers.
Ron Wanttaja