© 1975 by Biometrika Trust
The consistency of the ShapiroFrancia test
Mathematical Institute, Hungarian Academy of Sciences Budapest
It is proved that the ShapiroFrancia test of normality is consistent. More generally, the version of it that tests the hypothesis that the distribution belongs to a two-parameter family of distributions with location and scale parameters is consistent.
Key Words: Exponential distribution Goodness-of-fit tests Normal distribution Order statistics Tests of distributional hypothesis