Through Monte Carlo simulations, the performance of six multivariate nonparametric tests for testing the hypothesis of parallelism in profile analysis was studied. In conclusion, the tests based on ranks were as efficient as Hotelling's T2 under multivariate normal distribution. For the heavy tailed distribution, the tests based on signs performed best.
Vossoughi, Mehrdad; Shahvali, Shila; and Sadeghi, Erfan
"Comparison of Some Multivariate Nonparametric Tests in Profile Analysis to Repeated Measurements,"
Journal of Modern Applied Statistical Methods: Vol. 15
, Article 19.
Available at: http://digitalcommons.wayne.edu/jmasm/vol15/iss2/19