but didn't we know that?
isn't it more important to know how they did that? other than serve 135 out wide ace.
Yes - here it is..
first of all the raw data in a cleaner format - year 2012
Stat / correlation
1st Srv% / 0.06429448
1st Srv pts won / 0.522678196
2nd srv pts won / 0.614081536
srv gm won / 0.650474016
bp won / 0.248547356
bp sv / 0.536628334
pts rtn 1st srv / 0.349750106
pts rtn 2nd srv / 0.288385001
rtn gm won / 0.38757496
so the goal is to figure out what is really happening from this set of data.
first of all, we can say that the 1st Srv% is almost irrelevant, which makes sense.... a short guy serving 70% and a tall guy serving 70% can bring vastly different results.
2ndly, we want to use only the stats related to a specific shot, so we use these 4 stats -
1st Srv pts won / 0.522678196
2nd srv pts won / 0.614081536
pts rtn 1st srv / 0.349750106
pts rtn 2nd srv / 0.288385001
the rest of them, games/breaks, bp won/sv, we don't know what exactly happened (point started with a 1st srv or 2nd srv), so we are gonna leave them alone.
so on surface, the above 4 stats says, winning is more correlated to the srv pts, less to the rtn pts.
question is, do higher ranked players, perform better in srv pts, because they serve better, or because they rally better (fh, bh, volleys, drop shots etc).
assuming their rally shot performance being roughly the same in their srv pts and rtn pts, then -
if the ranking has roughly the same correlation to srv pts and rtn pts (symmetry), then we can say that ranking is more dependent on the rally performance.
if the ranking has asymmetrical correlation to srv pts and rtn pts, then we can say that ranking is more dependent on the srv or the rtn, which ever with the higher correlation (stats above pointing to the srv).
therefore considering the asymmetrical nature of the above 4 stats, the conclusion is that the srv is the most correlated to winning.... and the 2nd serve slightly more important than the 1st.
hopefully this analysis makes sense.
by the way, the 1991 data tells a similar story, the corresponding 4 stats are
0.268923042
0.562500096
0.181784048
0.222073506
and interestingly in 1991, the 2nd srv is much more important than the other 3.
so the saying is valid after all -
YOU ARE ONLY AS GOOD AS YOUR 2ND SERVE !!