Title




A robust hotelling test
 
Author




 
Abstract




Hotelling's T2 statistic is an important tool for inference about the center of a multivariate normal population. However, hypothesis tests and confidence intervals based on this statistic can be adversely affected by outliers. Therefore, we construct an alternative inference technique based on a statistic which uses the highly robust MCD estimator (Rousseeuw, 1984) instead of the classical mean and covariance matrix. Recently, a fast algorithm was constructed to compute the MCD (Rousseeuw and Van Driessen, 1999). In our test statistic we use the reweighted MCD, which has a higher efficiency. The distribution of this new statistic differs from the classical one. Therefore, the key problem is to find a good approximation for this distribution. Similarly to the classical T2 distribution, we obtain a multiple of a certain Fdistribution. A Monte Carlo study shows that this distribution is an accurate approximation of the true distribution. Finally, the power and the robustness of the onesample test based on our robust T2 are investigated through simulation. 
 
Language




English
 
Source (journal)




Developments in robust statistics
 
Source (book)




International Conference on Robust Statistics (ICOR 2001), JUL 2327, 2001, VORAU, AUSTRIA
 
Publication




2003
 
ISBN




3790815187
 
Volume/pages




(2003)
, p. 417431
 
ISI




000179943000036
 
