If the assumption of normality is not satisfied, there is no simple solution to this problem for the one-sample t test. The present study proposes Hall's or Johnson's transformation in conjunction with the trimmed mean to deal with the problem. Computer simulation is carried out to evaluate the small-sample behaviour of the proposed methods in terms of Type I error rate and statistical power. The proposed methods are compared with the conventional Student t, Yuen's trimmed t, Johnson's transformation untrimmed t, and Hall's transformation untrimmed t statistics for one-sided and two-sided tests. The simulation results indicate that the proposed methods can control Type I error well in very extreme conditions and are more powerful than the conventional methods.
|Number of pages||10|
|Journal||British Journal of Mathematical and Statistical Psychology|
|Publication status||Published - 2001 Jan 1|
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Arts and Humanities (miscellaneous)