X2 and its components as tests of normality for grouped data

Authors

Donald John Best, University of WollongongFollow
J. C. W Rayner, University of NewcastleFollow
Olivier Thas, Ghent UniversityFollow

RIS ID

43377

Publication Details

Best, D. J., Rayner, J. & Thas, O. (2008). X2 and its components as tests of normality for grouped data. Journal of Applied Statistics, 35 (5), 481-492.

Abstract

We consider testing for an unobservable normal distribution with unspecified mean and variance. It is only possible to observe the counts in groups with boundaries specified before sighting the data. On the basis of a small power study, we recommend the usual X² test be used as an omnibus test, augmented by informal examination of the first two non-zero components of X². We also recommend use of maximum likelihood and method of moments estimation.