The effect of a preliminary test of normality using √b1 on Student's t Distribution

Student's t Distribution is introduced with background including comments on its robustness properties. The ad hoc procedure of pretesting data for normality is discussed in the light of current advice, and previous work into its effectiveness reviewed. The approach to the problem is outlined: √b1 for test statistic, the Gram-Charlier distribution for population, approximations using the Johnson system. [Continues.]