Hi,
I read in a book (Modelisation et estimation des erreurs de mesure,
publishef by M. Neuilly et CETAMA, France) that the Shapiro and Wilks test
of normality is bilateral. It looks strange for me as we know that the W
statistic is a ratio of two estimations of the variance equal to 1 in case
of normality. Kendal and Stuart precise that critical values are small
values.
Is it possible that, for this test, there exist (as tells the book),
depending on alpha and n, two constants a and b, for which, when W belongs
to (a,b) we dont't refuse normality normality, and when W is outside this
interval, we refuse normality? (
0<a< b<1 )
Thank for your response
.
.
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