I'm not sure about runs scored, but I do find a lot of value in the runs created formula.
Statistic Description: Runs Created A set of formulas developed by Bill James and others that estimates a player’s total contributions to a team’s runs total. This is computed with the "technical" formula when possible. If SB or CS data is missing, the "basic" formula is used. If HBP, IBB, SH, SF, or GIDP data is missing, the "stolen base" version of the formula is used.
Runs Created was developed by Bill James back in the late 1970's as a method to determine offensive performance.
The basic formula is base hits plus walks, multiplied by total bases; the result is then divided by at bats plus walks. The general format of the formula is times on base, multiplied by bases advanced, divided by opportunities.
James developed several different versions of the formula, the most well-known of these is the Technical version. The formula for this version is:
On Base = Hits + Walks + Hit Batsmen - Caught Stealing - Grounded into Double Plays
Bases Advanced = Total bases + .26 (Walks + Hit Batsmen - Intentional Walks) + .52 (Sac. Hits + Sac. Flies + Stolen Bases)
Opportunities = At bats + Walks + Hit Batsmen + Sac. Hits + Sac. Flies
With this I created a spreadsheet and divided Runs Created by PA and came up with what I refer to as "Density", which should show how potent each batter was in their allotted PA's. No stat is perfect, but I really like this list. I could only fit the first 37 in the screenshot, but you get the idea.
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