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Competitive Stats
Q154Section III (Statistics)154 of 180

Degrees of freedom for the deviance goodness-of-fit test

Consider a logistic regression model

E(Y)=exp⁡(B0+B1X1+B2X2+B3X3+B4X4)1+exp⁡(B0+B1X1+B2X2+B3X3+B4X4).\mathbb{E}(Y)=\frac{\exp(B_0+B_1X_1+B_2X_2+B_3X_3+B_4X_4)} {1+\exp(B_0+B_1X_1+B_2X_2+B_3X_3+B_4X_4)} .

For the deviance based test of whether the model fits the data of 4040 observations, the degrees of freedom are:

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