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.
"Which team in the Major Leagues had the BEST improvement between the first half of the season and the second half of the season between 1996 and 2019 with late inning rallies and late inning losses.
From July to the end of regular season:
NL
2nd half inn Rally wins improvement over first half: St. Louis Cardinals: 2.60
AL
2nd half inn Rally wins improvement over first half: Texas Rangers: 1.24
The figures based on this time frame (1996-2019)
Green: Most improved "devil magic" NL and AL team in the 2nd half of the season
Red: Most declined in the NL team in the 2nd half of the season
Second Half ZScore improvement over First Half:
Team ZScoreImprovement
25 SLN 2.597523
9 COL 1.749993
18 NYN 1.569410
27 TEX 1.244571
17 NYA 0.885802
10 DET 0.758487
4 BOS 0.706657
14 MIA 0.660415
11 HOU 0.569243
20 PHI 0.421520
19 OAK 0.182740
29 WAS 0.151567
8 CLE 0.136782
0 ANA 0.067580
7 CIN -0.074995
26 TBA -0.128044
16 MIN -0.211927
15 MIL -0.213195
24 SFN -0.248643
23 SEA -0.260172
6 CHN -0.321452
13 LAN -0.462848
28 TOR -0.711557
12 KCA -0.987111
1 ARI -1.064198
3 BAL -1.094299
21 PIT -1.177468
22 SDN -1.440804
2 ATL -1.599685
5 CHA -1.705891
Team ZScoreImprovement 2ndHalfImprovement 1stHalfImprovement
25 SLN 2.597523 2.324187 -1.735921
9 COL 1.749993 0.136452 -2.781648
18 NYN 1.569410 0.911991 -1.605800
27 TEX 1.244571 0.644123 -1.363818
17 NYA 0.885802 3.620521 2.589382
10 DET 0.758487 -0.670601 -2.031149
4 BOS 0.706657 2.188936 1.276661
14 MIA 0.660415 -1.430421 -2.722879
11 HOU 0.569243 -0.404462 -1.414608
20 PHI 0.421520 0.150183 -0.542581
19 OAK 0.182740 2.039232 1.984962
29 WAS 0.151567 -0.540832 -0.869112
8 CLE 0.136782 0.264753 0.063066
0 ANA 0.067580 1.356051 1.408163
7 CIN -0.074995 0.140367 0.277428
26 TBA -0.128044 -0.673926 -0.551020
16 MIN -0.211927 0.715544 1.154519
15 MIL -0.213195 -0.891588 -0.653675
24 SFN -0.248643 1.929356 2.583244
23 SEA -0.260172 -0.500961 -0.135031
6 CHN -0.321452 -2.138284 -1.876784
13 LAN -0.462848 1.737066 2.725180
28 TOR -0.711557 -2.408457 -1.528157
12 KCA -0.987111 -2.949505 -1.676385
1 ARI -1.064198 -1.751136 -0.197484
3 BAL -1.094299 -1.277266 0.386681
21 PIT -1.177468 -1.862372 -0.133190
22 SDN -1.440804 -0.060487 2.337272
2 ATL -1.599685 1.636290 4.514501
5 CHA -1.705891 -1.776704 0.847783
Team Disp1stHalfLIW Disp1stHalfLIL Disp2ndHalfLIW Disp2ndHalfLIL
25 SLN 196 223 253 221
9 COL 184 228 217 215
18 NYN 216 239 253 241
27 TEX 191 213 196 185
17 NYA 210 165 236 179
10 DET 198 229 195 206
4 BOS 218 198 233 200
14 MIA 208 247 213 234
11 HOU 209 230 220 226
20 PHI 217 225 238 236
19 OAK 245 217 224 192
29 WAS 230 242 219 227
8 CLE 206 205 215 211
0 ANA 229 208 231 211
7 CIN 228 224 223 221
26 TBA 195 204 196 207
16 MIN 218 200 217 206
15 MIL 208 218 219 232
24 SFN 246 209 255 229
23 SEA 219 221 233 240
6 CHN 213 240 203 235
13 LAN 242 202 248 224
28 TOR 205 228 208 243
12 KCA 206 231 187 233
1 ARI 213 216 191 219
3 BAL 213 207 189 210
21 PIT 216 218 196 225
22 SDN 254 222 211 212
2 ATL 265 202 226 201
5 CHA 219 206 194 222
Weighted..
Team 1stHalfLIW 1stHalfLIL 2ndHalfLIW 2ndHalfLIL
25 SLN 5.894737 7.630658 9.788806 7.464619
9 COL 5.195028 7.976676 7.201254 7.064802
18 NYN 7.159122 8.764923 9.788806 8.876815
27 TEX 5.597821 6.961639 5.874904 5.230781
17 NYA 6.766917 4.177536 8.517510 4.896989
10 DET 6.015651 8.046801 5.815109 6.485710
4 BOS 7.292312 6.015651 8.302340 6.113404
14 MIA 6.638637 9.361516 6.938217 8.368638
11 HOU 6.702624 8.117232 7.401743 7.806205
20 PHI 7.225564 7.768145 8.662487 8.512303
19 OAK 9.210526 7.225564 7.673345 5.634113
29 WAS 8.117232 8.986343 7.334608 7.875439
8 CLE 6.511585 6.448519 7.069124 6.804371
0 ANA 8.046801 6.638637 8.160422 6.804371
7 CIN 7.976676 7.699248 7.604985 7.464619
26 TBA 5.834740 6.385760 5.874904 6.548831
16 MIN 7.292312 6.137793 7.201254 6.485710
15 MIL 6.638637 7.292312 7.334608 8.226196
24 SFN 9.285868 6.702624 9.944181 8.014825
23 SEA 7.359368 7.494399 8.302340 8.803301
6 CHN 6.961639 8.838423 6.302034 8.440318
13 LAN 8.986343 6.261163 9.405720 7.668654
28 TOR 6.448519 7.976676 6.616302 9.024759
12 KCA 6.511585 8.187970 5.347760 8.297264
1 ARI 6.961639 7.159122 5.578988 7.330124
3 BAL 6.961639 6.574958 5.462762 6.740028
21 PIT 7.159122 7.292312 5.874904 7.737276
22 SDN 9.899647 7.562375 6.808533 6.869020
2 ATL 10.775664 6.261163 7.810980 6.174691
5 CHA 7.359368 6.511585 5.755620 7.532325The data file can be found here
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