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Comparing two independent groups: A test based on a one-step M-estimator and bootstrap-t
Article first published online: 18 JUN 2012
DOI: 10.1111/j.2044-8317.2012.02053.x
© 2012 The British Psychological Society
Issue
British Journal of Mathematical and Statistical Psychology
Volume 66, Issue 2, pages 322–337, May 2013
Additional Information
How to Cite
Özdemir, A. F. (2013), Comparing two independent groups: A test based on a one-step M-estimator and bootstrap-t. British Journal of Mathematical and Statistical Psychology, 66: 322–337. doi: 10.1111/j.2044-8317.2012.02053.x
Publication History
- Issue published online: 9 APR 2013
- Article first published online: 18 JUN 2012
- Received 22 November 2011; revised version received 22 March 2012
A new test is proposed for the problem of comparing two independent groups in terms of some measure of location. The proposed test (
) uses a one-step M-estimator and a bootstrap-t method with the procedure proposed by Özdemir and Kurt (2006). Eight methods were compared in terms of actual Type I error and power when the underlying distributions differ in skewness and kurtosis under heterogeneity of variances. For the 21 theoretical distributions, the Yuen test with the bootstrap-t method was the most favourable, followed by 
test. For the five real data sets, the proposed 
test and percentile bootstrap method with the one-step M-estimator performed best.