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overdispersion and quasibinomial model

djpren wrote:
??shapiro
stats::shapiro.test     Shapiro-Wilk Normality Test

(maybe you were searching for "shapiro-wilks" (sic)?)

People often disrecommend statistical tests of normality because they 
have low power for small data sets (hence you don't have power to
detect non-normality when it is present) and high power for large
data sets even when the degree of non-normality detected is not
enough to invalidate the results of some statistical procedures.
Under what circumstances are the residuals from a quasibinomial
GLM expected to be normally distributed ... ?