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Econometrics Project: Choice of sports in France for rugby Erik Borrat, Ghislain Robert, Selene Diedhiou ENAC, IENAC11T May 20, 2013 Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

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Page 1: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

Econometrics Project: Choice of sports in Francefor rugby

Erik Borrat, Ghislain Robert, Selene Diedhiou

ENAC, IENAC11T

May 20, 2013

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 2: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

Outline

1 Why this subject?

2 Practicing rugby in universities

First modelSecond modelConclusion

3 Practicing rugby in French clubs

First modelSecond modelConclusion

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 3: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

1. Why this subject?

First choice: Sports choice in universities...

Final choice: Practicing rugby in universities

Extension to French rugby clubs’ members

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 4: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

2. Practicing rugby in universitiesFirst model

First equation

Rugbyi = β1 + β2Sexi + β3Agei + β4Sizei + β5Weighti + β6Originloci

+ β7Originsporti + β8Actualloci + β9Actualsporti + β10Campusi

+ β11Clubi + β12Friendi + β13Injuriesi + ui (1)

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 5: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

2. Practicing rugby in universitiesFirst model

First equation

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 6: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

2. Practicing rugby in universitiesFirst model

Wald test

Null Hypotesis not rejected

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 7: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

2. Practicing rugby in universitiesSecond model

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 8: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

2. Practicing rugby in universitiesSecond model

Residual normality?

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 9: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

2. Practicing rugby in universitiesConclusion

Problem of dummy variables

Problem of data

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 10: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

3. Practicing rugby in French clubsFirst model

First equation

Rugbyi = β1 + β2Agei + β3Clubi + β4Loci + β5PPi + β6Titlesi

+ β7Urbi + β8Wagei + β9Alcoholi + ui (2)

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 11: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

3. Practicing rugby in French clubsFirst model

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 12: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

3. Practicing rugby in French clubsFirst model

Correlation matrix:

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 13: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

3. Practicing rugby in French clubsFirst model

Wald test

Null Hypothesis not rejected

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 14: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

3. Practicing rugby in French clubsSecond model

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 15: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

3. Practicing rugby in French clubsSecond model

Normality of residuals?

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 16: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

3. Practicing rugby in French clubsSecond model

Removing few departments

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 17: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

3. Practicing rugby in French clubsSecond model

Homoscedasticity:

Heteroscedasticity of residuals

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 18: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

Conclusion

Comparison with reality

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby

Page 19: Econometrics Project: Choice of sports in France for rugbyrecherche.enac.fr/~steve.lawford/teaching_papers/example_projects/... · Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics

END

Thank you for your attentionQuestions?

Erik Borrat, Ghislain Robert, Selene Diedhiou Econometrics Project: Choice of sports in France for rugby