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Mengshi WANG edited On_estime_alors_pour_1__.tex
about 8 years ago
Commit id: 726310ce5b0b905bc808749b0672c76390339232
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diff --git a/On_estime_alors_pour_1__.tex b/On_estime_alors_pour_1__.tex
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En s'inspirant des paragraphes précédents, on obtient la statistique de test\\
$$ I_{n}=n \sum_{k=1}^{K} \sum_{l=1}^{L} \frac{(\frac{N_{kl}}{n}-\frac{N_{k\cdot }N_{\cdot l}}{n^{2}})^{2}}{\frac{N_{k\cdot }N_{\cdot l}}{n^{2}}}= \sum_{k=1}^{K} \sum_{l=1}^{L} \frac{(N_{kl}-\frac{N_{k\cdot }N_{\cdot l}}{n})^{2}}{\frac{N_{k\cdot }N_{\cdot l}}{n}}$$
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On suppose que pour tous $1\leq k \leq K$ et $1\leq l \leq L$,$\mathbb{P}(X =a_{k})>0$ et $\mathbb{P}(Y =b_{l})>0$. Alors, sous $H_{0}$,