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Analyse exploratoire de données - Fabrice Rossi

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Sens <strong>de</strong>s statistiques<br />

La pertinence <strong>de</strong> la statistique<br />

dépend <strong>de</strong> la distribution<br />

Exemple :<br />

• blogs politiques<br />

• graphe <strong>de</strong>s liens entre les<br />

blogs (blogroll)<br />

• distribution <strong>de</strong>s <strong>de</strong>grés <strong>de</strong>s<br />

noeuds<br />

Frequency<br />

0 200 400 600<br />

Degree distribution<br />

0 100 200 300 400<br />

<strong>de</strong>gree<br />

µ = 27.36, σ = 38.42<br />

m = 13, δ = 33<br />

probability<br />

0.001 0.005 0.020 0.050<br />

loi puissance : P(x) ≃ x −α<br />

sans échelle : la moyenne<br />

informe peu<br />

ici α ≃ 1.27<br />

1 2 5 10 20 50 100 200<br />

<strong>de</strong>gree<br />

17 / 41 F. <strong>Rossi</strong> <strong>Analyse</strong>s univariées

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