Cricket Statistics

Power
ie "Scoring Strokes Strike Rate"
This is exactly as implied  the strike rate but only counting scoring strokes. So where a normal strike rate can be a value between 0 and 600 (600 being a 6 on every ball faced  unlikely to last long, but possible (I'm also discounting the rare possibility of a 7+ from a single ball), the 'power' strike rate is a value between 100 and 600.
Effectiveness
aka "Balls faced run conversion rate"
This is a value that measures how well the batter can convert balls faced into runs on the board  it's measured as a fraction from 0 (every ball faced is a dot ball) through to 1 (batter never concedes a dot ball)
Compared to traditional statistics
The traditional Strike Rate is simply "power*effectiveness", so I propose that these be given together as:
StrikeRate (power * effectiveness)
Where the strike rate gives an indication of how strong a batter is, it doesn't distinguish between a batter who makes occasional big hits, and a batter who makes regular small hits. (eg, hypothetical batter 'A' scores a single off every ball. Whilst 'B' scores a four every fourth ball. Both have a strike rate of 100, but A gets their 100 by 100*1, whilst B gets it by 400*0.25.
A more real world example... near the end of BBL06, Brisbane Heat power hitters Brendon McCullum and Chris Lynn had very similar Strike Rates, but their power and effectiveness showed the differences between them
 Brendon McCullum
 174.59 (287.84 * 0.607)
 Chris Lynn
 177.59 (259.66 * 0.68)
Thus we see that although Lynn is reknown as THE big hitter, McCullum is actually a bigger hitter, but turns balls into runs less often.
My analysis of BBL06 finds most players have an Effectiveness between 0.5 and 0.8, and power between 170 up to 300
(full analysis including graph is here: https://docs.google.com/spreadsheets/d/19xSGcEfJyDL8suXF08gP2XQLgbXj8yEMTa4lWs_LtoE/edit#gid=293175017 )
History
'Effectiveness' came about from trying to create a cricket equivalent to the Baseball "batting average" statistics (which measure how many times the batter reaches first base ("a hit") compared to times he faces a pitcher ("at bat"  which may involve multiple pitches). For cricket, this turned into "runs" and "balls faced". Power then evolved from there.
See also