TY - JOUR
T1 - Improved robust test statistic based on trimmed means and Hall's transformation for two-way ANOVA models under non-normality
AU - Luh, Wei Ming
AU - Guo, Jiin Huarng
N1 - Funding Information:
This research was supported by a National Sciences Council grant, Taiwan, Republic of China, to the first author. The authors would like to express their gratitude to referees for their helpful comments. We also like to thank Professor H. Keselman for his helpful suggestions.
PY - 2004/7
Y1 - 2004/7
N2 - For the two-way fixed effects ANOVA, under assumption violations, the present study employs trimmed means and Hall's transformation to correct asymmetry, and an approximate test, such as the Alexander-Govern or Welch-James test, to correct heterogeneity. The unweighted as well as weighted means analyses of omnibus effects in unbalanced designs were considered. A simulated data set was presented and computer simulations were performed to investigate the small-sample properties of the methods. The simulation results show that the proposed technique is valid and powerful compared with the conventional methods.
AB - For the two-way fixed effects ANOVA, under assumption violations, the present study employs trimmed means and Hall's transformation to correct asymmetry, and an approximate test, such as the Alexander-Govern or Welch-James test, to correct heterogeneity. The unweighted as well as weighted means analyses of omnibus effects in unbalanced designs were considered. A simulated data set was presented and computer simulations were performed to investigate the small-sample properties of the methods. The simulation results show that the proposed technique is valid and powerful compared with the conventional methods.
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U2 - 10.1080/1478881042000214622
DO - 10.1080/1478881042000214622
M3 - Article
AN - SCOPUS:4344567724
VL - 31
SP - 623
EP - 643
JO - Journal of Applied Statistics
JF - Journal of Applied Statistics
SN - 0266-4763
IS - 6
ER -