LINEUP Display
The first three columns on the left and the last three columns on the
right are self-explanatory. Note that in Lineup errors are modeled as
hits, and the pitcher range rating is actually his PHC#, since range for
pitchers is fixed at 2. The first three columns include the effect of
clutch situations as a weighted component (assuming that clutch
situations arise about 12% of the time - this factor can be altered at
the user's discretion).
CBA - batting average for that player in clutch situations.
Runs - offensive runs created by that player if he were to be the
entire lineup.
Gaussian W% - winning % estimate based on applying a Gaussian
statistical model to the difference between estimated runs for the two
teams.
Pythagorean W% - based on the sabermetric 'Pythagorean formula':
"the ratio of wins to losses is equal to the ratio of runs for squared
over runs against squared (W/L=Rf^2/Ra^2)". The top value is derived
from the basic OBP and SLG estimates and the bottom value is based on a
small refinement in estimated slugging based on some esoteric
statistical considerations.
Summary measures of lineup batting average, OBP, and SLG are given two
columns to the left of the player names while the two different runs
created estimates for the lineup are given below in the same column.
The impact of player running speed is included in these values (it isn't
included in the per player estimates in the leftmost four columns in
order to preserve the difference between the pure 'hitting card' and
overall player capabilities). The 's' is an estimate of the standard
deviation of the Rg measure. The two values labeled 'Def' give the
amount of OBP and SLG points that this lineup adds to the pitcher's
card, e.g., Andy Ashby's card OBP is increased by 0.0109 (i.e., a 200
card OBP would become a 210.9 card OBP) and his card SLG is increased by
59.1 due to the defense behind him.
Batting order is not taken into account in Lineup (team values are
straight averages) since to do so would make direct tradeoffs between
players more cumbersome as it would force the user to specify a new
order each time players are substituted. Lineup also presumes that you
have entered a valid team - it doesn't check position coverage.