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 East 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: Tampa Bay Rays ZScore 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
26 TBA 0.631264
17 NYA 0.199247
4 BOS -0.340670
3 BAL -0.367754
28 TOR -0.893505
Team ZScoreImprovement 2ndHalfImprovement 1stHalfImprovement
26 TBA 0.631264 -0.408946 -1.063344
17 NYA 0.199247 0.720447 0.500000
4 BOS -0.340670 0.519702 0.870717
3 BAL -0.367754 0.000000 0.388889
28 TOR -0.893505 -0.375399 0.573209
Team Disp1stHalfLIW Disp1stHalfLIL Disp2ndHalfLIW Disp2ndHalfLIL
26 TBA 56 72 61 67
17 NYA 58 49 67 56
4 BOS 71 58 65 57
3 BAL 57 50 59 59
28 TOR 73 65 68 73
Weighted..
Team 1stHalfLIW 1stHalfLIL 2ndHalfLIW 2ndHalfLIL
26 TBA 1.628245 2.691589 1.981363 2.390309
17 NYA 1.746625 1.246625 2.390309 1.669862
4 BOS 2.617342 1.746625 2.249734 1.730032
3 BAL 1.686916 1.298027 1.853568 1.853568
28 TOR 2.766874 2.193666 2.462194 2.837593
Team 1stHalfW 1stHalfL 2ndHalfW 2ndHalfL
26 TBA 285 287 298 265
17 NYA 313 245 321 255
4 BOS 311 261 313 249
3 BAL 264 300 263 307
28 TOR 276 294 279 285The data file can be found here
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