In table 6 all the tennis matches played at the ATP level are divided among the year they are played in and in which prior match probability category the matches belonged to. This is equal to the table 2, except the probability interval is bigger. So table 6 has the same format as showed in [TijdelijkeAanduiding1]. In [TijdelijkeAanduiding1] as in this thesis the favorite longshot bias is found for every year investigated.
The thesis outcomes for matches played on grass exhibited no favorite longshot bias. As the grass season of 2013 has come to an end, the matches played are investigated according to the method used in this thesis. In table 7 the results show that the heavy underdog category generates a positive 160 % return. This is higher than the mean return over the period 2010-2012. The categories 10% - 20% and 20% - 30% did generate a positive return when the period 2010 – 2012 was used, but when looking at table 7 these returns are not positive for the year 2013. A strategy, based on the period 2010 – 2012, of betting the lowest three categories would generate a positive return of 9% in 2010 – 2012. Performing this strategy for the period 2013 would generate a positive 12.7% return. The heavy underdog category is even significantly different from zero, indicating this is not just based on luck. So interesting to continue to follow the tennis matches played on grass.
In tables 8 and 9 the results are shown for the ladies tennis matches played in the period 2010 – 20125. These women’s tennis matches are played at the WTA level. The WTA stands for the Women’s Tennis Association and represents the highest level of competing in women’s tennis. So all the women’s tennis matches are processed according to the method discussed in the ‘Method’ chapter. When the heavy underdog category (0% - 5% probability of winning) of table 8 is investigated, the small amount of observations and the high return stands out. The return in the heavy underdog category is 119% and based on this return a favorite longshot bias is absent in women’s tennis. The 21 observations are in contrast to the 135 observations of heavy underdogs matches played in the men’s tennis sport in the period 2010 – 2012. Therefore table 9 has been made with bigger 10% intervals for each category. When in table 9 the same data is investigated and focused on the heavy underdog category (0% - 10%), there is a – 56% return. This leads again to the question in the ‘Discussion’ chapter, namely how to divide the categories? Furthermore the favorite longshot bias does exists in table 9. Where the favorites are under and the underdogs over betted.
|
2010
|
2011
|
2012
|
odds category
|
N
|
mean probability
|
St. dev.
|
t-test
|
N
|
mean probability
|
St. dev.
|
t-test
|
N
|
mean probability
|
St. dev.
|
t-test
|
0,0-0,1
|
118
|
-0,602
|
2,128
|
-3,072
|
136
|
-0,625
|
2,023
|
-3,603
|
230
|
-0,200
|
3,583
|
-0,847
|
0,1-0,2
|
355
|
-0,218
|
2,190
|
-1,878
|
357
|
-0,161
|
2,254
|
-1,350
|
346
|
-0,292
|
2,122
|
-2,559
|
0,2-0,3
|
640
|
-0,106
|
1,707
|
-1,578
|
641
|
-0,144
|
1,660
|
-2,190
|
588
|
-0,126
|
1,666
|
-1,835
|
0,3-0,4
|
612
|
-0,109
|
1,334
|
-2,013
|
628
|
-0,156
|
1,306
|
-2,989
|
586
|
-0,041
|
1,353
|
-0,738
|
0,4-0,5
|
684
|
-0,065
|
1,127
|
-1,497
|
645
|
-0,033
|
1,132
|
-0,747
|
635
|
-0,112
|
1,116
|
-2,534
|
0,5-0,6
|
498
|
-0,074
|
0,929
|
-1,775
|
461
|
-0,086
|
0,919
|
-2,011
|
444
|
-0,068
|
0,930
|
-1,551
|
0,6-0,7
|
828
|
-0,065
|
0,757
|
-2,477
|
798
|
-0,078
|
0,759
|
-2,889
|
773
|
-0,054
|
0,755
|
-1,999
|
0,7-0,8
|
634
|
-0,031
|
0,604
|
-1,286
|
654
|
-0,026
|
0,602
|
-1,089
|
602
|
-0,076
|
0,626
|
-2,991
|
0,8-0,9
|
547
|
-0,059
|
0,479
|
-2,878
|
558
|
-0,046
|
0,469
|
-2,339
|
551
|
-0,029
|
0,459
|
-1,467
|
0,9-1,0
|
398
|
-0,045
|
0,312
|
-2,859
|
417
|
-0,029
|
0,287
|
-2,075
|
451
|
-0,013
|
0,261
|
-1,076
|
Table 6: All the ATP matches played in the years 2010, 2011 and 2012 with a probability interval of 10%.
odds category
|
N
|
mean probability
|
Standard deviation
|
t-test
|
0,0-0,1
|
22
|
1,636
|
2,863
|
2,681
|
0,1-0,2
|
47
|
-0,223
|
2,191
|
-0,699
|
0,2-0,3
|
52
|
-0,195
|
1,678
|
-0,838
|
0,3-0,4
|
65
|
-0,000
|
1,332
|
-0,003
|
0,4-0,5
|
58
|
-0,120
|
1,126
|
-0,814
|
0,5-0,6
|
44
|
-0,07
|
0,926
|
-0,501
|
0,6-0,7
|
63
|
-0,064
|
0,757
|
-0,674
|
0,7-0,8
|
70
|
-0,106
|
0,611
|
-1,454
|
0,8-0,9
|
51
|
-0,049
|
0,469
|
-0,740
|
0,9-1,0
|
56
|
-0,014
|
0,286
|
-0,360
|
total
|
528
|
-0,018
|
|
|
Table 7: the matches played at the ATP level for all the tennis matches played on grass for 2013
odds category
|
N
|
mean return
|
Standard deviation
|
t-test
|
0-0,05
|
21
|
1,190
|
6,752
|
0,808
|
0,05-0,1
|
247
|
-0,709
|
1,863
|
-5,978
|
0,1-0,15
|
525
|
-0,128
|
2,497
|
-1,171
|
0,15-0,2
|
455
|
-0,175
|
2,065
|
-1,805
|
0,2-0,25
|
731
|
-0,019
|
1,887
|
-0,274
|
0,25-0,3
|
1049
|
-0,110
|
1,581
|
-2,262
|
0,3-0,35
|
832
|
0,000
|
1,448
|
-0,006
|
0,35-0,4
|
889
|
-0,088
|
1,275
|
-2,063
|
0,4-0,45
|
1169
|
-0,061
|
1,159
|
-1,797
|
0,45-0.5
|
634
|
-0,084
|
1,061
|
-1,984
|
0,5-0,55
|
964
|
-0,088
|
0,957
|
-2,841
|
0,55-0,6
|
548
|
-0,052
|
0,865
|
-1,416
|
0,6-0,65
|
1042
|
-0,063
|
0,796
|
-2,536
|
0,65-0,7
|
1134
|
-0,085
|
0,725
|
-3,942
|
0,7-0,75
|
995
|
-0,068
|
0,648
|
-3,334
|
0,75-0,8
|
799
|
-0,046
|
0,579
|
-2,266
|
0,8-0,85
|
907
|
-0,063
|
0,516
|
-3,665
|
0,85-0,9
|
666
|
-0,065
|
0,441
|
-3,806
|
0,9-0,95
|
613
|
-0,053
|
0,362
|
-3,648
|
0,95-1
|
376
|
-0,006
|
0,196
|
-0,642
|
total
|
14596
|
-0,078
|
|
|
Table 8: All WTA matches played in the years 2010, 2011 and 2012 with a probability interval of 5%
odds category
|
N
|
mean return
|
Standard deviation
|
t-test
|
0,0-0,1
|
268
|
-0,560
|
2,651
|
-3,456
|
0,1-0,2
|
980
|
-0,149
|
2,306
|
-2,029
|
0,2-0,3
|
1780
|
-0,073
|
1,714
|
-1,795
|
0,3-0,4
|
1721
|
-0,046
|
1,362
|
-1,392
|
0,4-0,5
|
1803
|
-0,069
|
1,126
|
-2,599
|
0,5-0,6
|
1512
|
-0,075
|
0,925
|
-3,144
|
0,6-0,7
|
2176
|
-0,074
|
0,760
|
-4,553
|
0,7-0,8
|
1794
|
-0,059
|
0,618
|
-4,018
|
0,8-0,9
|
1573
|
-0,064
|
0,486
|
-5,205
|
0,9-1,0
|
989
|
-0,036
|
0,310
|
-3,600
|
total
|
14596
|
-0,078
|
|
|
Table 9: All WTA matches played in the years 2010, 2011 and 2012 with a probability interval of 10%.
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