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Weighted Least Square Model for a Binary Outcome

Vivian Zhuang 
Dear R Users,

I would like to use R to fit a Weighted Least Square model for a
binary outcome, say Y.  The model is the one widely used for a binary
dependent variable when the logistic model has not been proposed.

Does anyone know how to specify the weight as the square root of
1/(E(Y)(1-E(Y)) in lm() or any other regression functions?

I know that varPower() in the package of gls() can provide an optimal
alpha estimator for a weight with the form of $E(Y)^{-2\alpha}$, which
does not include the weight form I need. Please correct me if I am
wrong.

Thanks for any replies in advance!

Best Regards,
Vivian