Tue Jul 16, 2013 4:38 pm
Actually, I don't agree, Apovlika. The substituted fielding is slightly worse:
This is a simplified analysis just using singles and total error chances (in decimal format) from the fielding X chart:
Original lineup positions:
Carp. 1b, single .20, error .287, total .487, times 2 die roll chances = total chances = .974 die roll chances (out of 216)
Johnson 3b , single .30, error .301, total .601, times 3 die roll chances = total chances = 1.803 die roll chances
Total die roll chances for hit/error for set lineup, without considering compound results - 2.777 out of 216
Revised lineup positions:
Carp. 3b, single .20, error .241, total .441, times 3 die roll chances = total chances = 1.323 die roll chances (out of 216)
Johnson 1b , single .30, error .449, total .749, times 2 die roll chances = total chances = 1.498 die roll chances
Total die roll chances for hit/error for set lineup, without considering compound results - 2.821 out of 216
Inferiority of substituted positons 2.821 - 2.777 = .044
Inferiority as a percent of total chances from original lineup - .044/2.777 = 1.6%
These probabilities are from DeanTSC's (? MeanDean's) charts for X chart probabilities, especially re the error chances.
By the way, the compound results and 2 base error results make the inferiority worse - it goes up to about 2.7% when those effects are considered.
Questions:
-are my calculations correct? (I think they are)
-whether HAL should be switching positions for a relatively minor net fielding effect, especially when the positions are not their primary positions.
-are there other ways of looking at this? Apovlika - if you calculated it to this detail, would you have done it differently? (I'm curious).
Geoff