Analyzing Mean Profiles of Nonnormal Populations

作者：Harrar, Solomon W^*; Xu, Jin

来源：Communications in Statistics - Theory and Methods, 2014, 43(17): 3553-3573.

DOI：10.1080/03610926.2012.697970

• Asymptotic expansion
• Multivariate skewness
• Multivariate kurtosis
• MANOVA
• Repeated Measures
• Robustness

We consider testing whether the mean vectors of two or more populations have parallel, coincident, or flat profiles when the validity of normality is not known, and the sample sizes are moderate. Using some properties of multivariate moments and matrix manipulations, we obtain the asymptotic expansions for the null distribution of the Lawley-Hotelling statistics. We also derive the corresponding results in the situation where interest lies in coincidence and flatness alone. Accuracy of all the asymptotic expansions in approximating the exact null distributions is examined via simulation. Profile analysis of SO4 concentrations from a forestry experiment is used to illustrate the methods.

• 出版日期2014
• 单位华东师范大学