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Generalized linear model

Pearson dispersion estimator

{c}
{title2=$X_P^2$}

The Pearson chi-squared statistic for a generalized linear model is
$$
X_P^2=\sum_i\frac{(Y_i-\widehat\mu_i)^2}{V(\widehat\mu_i)}.
$$
Dividing it by the residual degrees of freedom estimates the dispersion parameter.


Pearson chi-squared statistic

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Pearson chi-squared statistic ( $X_{P}^{2}$ )

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Pearson chi-squared statistic (XP2​)

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Pearson chi-squared statistic ( $X_{P}^{2}$ )

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