This is the same scenario as this but with weights applied to each number to account for their percent within the total population of occurences within the sample.
Our Criteria here: Win - a given team wins the game if they were losing/tied (in this order) in extra innings, 9th, 8th or 7th inning. Loss - a given team loses the game when they were winning/tied in extra innings, 9th, 8th, or 8th inning.
ZScore: is based on the population standard deviation and mean here. It tells you how many standard deviations from the mean you are. For wins, a positive ZScore is what you want as that relfects "you came back to win more than others". So 1.5 is better than 0.5. For the loss, a negative ZScore is what you want as that reflects "you did not lose your leads like others around the mean". So -1.5 is better than -0.5
"Which team in the AL Central had the BEST improvement between the first half of the season and the second half of the season between 2013 and 2019 with late inning rallies and late inning losses.
From July to the end of regular season:
2nd half inn Rally wins: Detroit Tigers: 0.63
The figures based on this time frame (2013-2019)
Green: Most improved "devil magic" AL team in the 2nd half of the season in this division
Second Half ZScore improvement over First Half:
Team ZScoreImprovement
10 DET 0.693813
16 MIN 0.541318
12 KCA 0.437025
8 CLE -0.436023
5 CHA -0.927741
Team ZScoreImprovement 2ndHalfImprovement 1stHalfImprovement
10 DET 0.693813 0.174121 -0.556594
16 MIN 0.541318 -0.196486 -0.760125
12 KCA 0.437025 0.465921 0.000000
8 CLE -0.436023 0.129925 0.588266
5 CHA -0.927741 -0.856230 0.137072
Team Disp1stHalfLIW Disp1stHalfLIL Disp2ndHalfLIW Disp2ndHalfLIL
10 DET 63 71 56 53
16 MIN 55 67 60 63
12 KCA 66 66 66 59
8 CLE 57 46 62 60
5 CHA 67 65 61 73
Weighted..
Team 1stHalfLIW 1stHalfLIL 2ndHalfLIW 2ndHalfLIL
10 DET 2.060748 2.617342 1.669862 1.495740
16 MIN 1.570613 2.330737 1.916933 2.113419
12 KCA 2.261682 2.261682 2.319489 1.853568
8 CLE 1.686916 1.098650 2.046858 1.916933
5 CHA 2.330737 2.193666 1.981363 2.837593
Team 1stHalfW 1stHalfL 2ndHalfW 2ndHalfL
10 DET 266 290 252 323
16 MIN 267 287 275 305
12 KCA 260 297 288 289
8 CLE 297 263 341 231
5 CHA 246 312 245 330The data file can be found here
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