Table 8: Results of all ATP and WTA tournaments separately in the last 5 years (2009-2013)
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ATP matches (Men)
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WTA matches (Women)
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Category
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Proba-bility
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Number of games
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Mean return category
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Standard deviation
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T-test
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Number of games
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Mean return category
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Standard deviation
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T-test
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1
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1-5%
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|
105
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-0,384
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3,610
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-1,091
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17
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-1,000
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0,000
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0,000
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2
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5-10%
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|
692
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-0,391
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2,686
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-3,832
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|
342
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-0,669
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2,071
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-5,971
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3
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10-15%
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|
812
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-0,393
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2,113
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-5,299
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|
462
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-0,261
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2,298
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-2,445
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4
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15-20%
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|
951
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-0,213
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1,987
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-3,307
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567
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-0,093
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2,114
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-1,045
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5
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20-25%
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1.219
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-0,186
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1,720
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-3,783
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|
761
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-0,126
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1,763
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-1,966
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6
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25-30%
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1.306
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-0,238
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1,482
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-5,806
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|
777
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-0,078
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1,585
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-1,380
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7
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30-35%
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|
1.509
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-0,130
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1,388
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-3,629
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|
799
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-0,081
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1,410
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-1,623
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8
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35-40%
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|
1.601
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-0,068
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1,276
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-2,141
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|
791
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-0,073
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1,272
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-1,621
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9
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40-45%
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|
1.614
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-0,073
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1,151
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-2,532
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829
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-0,110
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1,144
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-2,771
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10
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45-50%
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|
1.522
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-0,023
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1,056
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-0,835
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|
778
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-0,075
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1,051
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-1,998
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11
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50-55%
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|
1.146
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-0,052
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0,956
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-1,842
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|
645
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-0,084
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0,950
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-2,257
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12
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55-60%
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|
1.440
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-0,097
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0,866
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-4,231
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|
765
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-0,046
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0,863
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-1,473
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13
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60-65%
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|
1.747
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-0,049
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0,785
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-2,584
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|
859
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-0,007
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0,776
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-0,261
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14
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65-70%
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|
1.553
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-0,061
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0,711
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-3,366
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|
833
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-0,046
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0,707
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-1,881
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15
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70-75%
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|
1.553
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-0,023
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0,628
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-1,435
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|
771
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-0,063
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0,644
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-2,727
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16
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75-80%
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|
1.323
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0,000
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0,543
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-0,004
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|
764
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-0,041
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0,568
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-2,014
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17
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80-85%
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|
1.270
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-0,012
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0,474
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-0,929
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|
793
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-0,034
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0,490
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-1,976
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18
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85-90%
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|
938
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-0,017
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0,398
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-1,336
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|
544
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-0,033
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0,414
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-1,842
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19
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90-95%
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|
982
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-0,023
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0,326
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-2,249
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579
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-0,040
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0,348
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-2,746
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20
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95-100%
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|
869
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-0,018
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0,213
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-2,536
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|
392
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0,000
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0,178
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0,048
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Total
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24.152
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-2,451
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24,369
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13.068
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-2,960
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20,646
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Graph 2: Development of the mean return of ATP and WTA tournaments separately in the last 5 years (2009-2013)
Graph 2 shows the line of the mean return for ATP tournaments (men) and WTA tournaments (women) separately. The higher the probability category, the closer the line gets to the x-as, so it is clear that there is a favorite longshot bias in both genders.
The line of the WTA (women) gets faster to the x-as than the ATP (men). For the WTA tournaments from category 4 the mean return is higher than -0,2 and fluctuate between -0,2 and 0,00 in categories 4 to 20. The line of the mean return in ATP tournaments shows a more stable upward curve. The higher the category, the higher the return. Only at category 12 the mean return bounces a bit back.
After all, looking at category 1 (longshot), we see that the WTA tournaments have a lower return than the ATP tournaments. Looking at category 20 (favorites) we see that in WTA tournaments you have no profit or loss (return is €0) and in ATP tournament you have a loss of €0,018.
Looking at the last column we see a lot of t-values below -2 of above 2 which means a lot of significant results. Looking at the ATP tennis, in categories 1-7 there are 6 significant t-values and in category 15-20 there are 2 significant t-values. In WTA tennis, in categories 1-7 there are 2 significant t-values and in category 15-20 there are 3 significant t-values. The significant results in the underdogs categories are an indication for the existence of a favorite longshot bias. In WTA tennis there are only 2 significant t-values in underdog categories. Based on the lack of significant results, we can doubt about the existence of a favorite longshot bias. In the underdog categories of ATP tournaments there are 6 out of 7 significant t-values, but also in the favorite categories there are a lot of significant t-values. Based on this you cannot really speak of the existence of a bias.
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