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Basu, A. and Mandal, A. and Martin, N. and Pardo Llorente, Leandro (2015) Robust tests for the equality of two normal means based on the density power divergence. Metrika, 78 (5). pp. 611634. ISSN 00261335
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Official URL: http://link.springer.com/article/10.1007/s0018401405184
URL  URL Type 

http://www.springer.com  Publisher 
http://arxiv.org/pdf/1403.1395v2.pdf  Organisation 
Abstract
Statistical techniques are used in all branches of science to determine the feasibility of quantitative hypotheses. One of the most basic applications of statistical techniques in comparative analysis is the test of equality of two population means, generally performed under the assumption of normality. In medical studies, for example, we often need to compare the effects of two different drugs, treatments or preconditions on the resulting outcome. The most commonly used test in this connection is the two sample test for the equality of means, performed under the assumption of equality of variances. It is a very useful tool, which is widely used by practitioners of all disciplines and has many optimality properties under the model. However, the test has one major drawback; it is highly sensitive to deviations from the ideal conditions, and may perform miserably under model misspecification and the presence of outliers. In this paper we present a robust test for the two sample hypothesis based on the density power divergence measure (Basu et al. in Biometrika 85(3):549559, 1998), and show that it can be a great alternative to the ordinary two sample test. The asymptotic properties of the proposed tests are rigorously established in the paper, and their performances are explored through simulations and real data analysis.
Item Type:  Article 

Uncontrolled Keywords:  Robustness; Density power divergence; Hypothesis testing 
Subjects:  Sciences > Mathematics > Mathematical statistics 
ID Code:  31266 
Deposited On:  02 Jul 2015 11:35 
Last Modified:  07 Jul 2015 11:21 
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