Erasmus university rotterdam



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Results gender


Table 8: Results of all ATP and WTA tournaments separately in the last 5 years (2009-2013)










 

ATP matches (Men)

 




 

WTA matches (Women)

Category

Proba-bility




Number of games

Mean return category

Standard deviation

T-test




Number of games

Mean return category

Standard deviation

T-test

1

1-5%




105

-0,384

3,610

-1,091




17

-1,000

0,000

0,000

2

5-10%




692

-0,391

2,686

-3,832




342

-0,669

2,071

-5,971

3

10-15%




812

-0,393

2,113

-5,299




462

-0,261

2,298

-2,445

4

15-20%




951

-0,213

1,987

-3,307




567

-0,093

2,114

-1,045

5

20-25%




1.219

-0,186

1,720

-3,783




761

-0,126

1,763

-1,966

6

25-30%




1.306

-0,238

1,482

-5,806




777

-0,078

1,585

-1,380

7

30-35%




1.509

-0,130

1,388

-3,629




799

-0,081

1,410

-1,623

8

35-40%




1.601

-0,068

1,276

-2,141




791

-0,073

1,272

-1,621

9

40-45%




1.614

-0,073

1,151

-2,532




829

-0,110

1,144

-2,771

10

45-50%




1.522

-0,023

1,056

-0,835




778

-0,075

1,051

-1,998

11

50-55%




1.146

-0,052

0,956

-1,842




645

-0,084

0,950

-2,257

12

55-60%




1.440

-0,097

0,866

-4,231




765

-0,046

0,863

-1,473

13

60-65%




1.747

-0,049

0,785

-2,584




859

-0,007

0,776

-0,261

14

65-70%




1.553

-0,061

0,711

-3,366




833

-0,046

0,707

-1,881

15

70-75%




1.553

-0,023

0,628

-1,435




771

-0,063

0,644

-2,727

16

75-80%




1.323

0,000

0,543

-0,004




764

-0,041

0,568

-2,014

17

80-85%




1.270

-0,012

0,474

-0,929




793

-0,034

0,490

-1,976

18

85-90%




938

-0,017

0,398

-1,336




544

-0,033

0,414

-1,842

19

90-95%




982

-0,023

0,326

-2,249




579

-0,040

0,348

-2,746

20

95-100%




869

-0,018

0,213

-2,536




392

0,000

0,178

0,048

Total

 

 

24.152

-2,451

24,369




 

13.068

-2,960

20,646





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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