Abstract
The Mann-Whitney-Wilcoxon (MWW) test statistic, while distribution-free, suffers from a loss of efficacy for certain underlying distributions. In this manuscript, we instead use a data-adaptive weighted generalized Mann-Whitney-Wilcoxon (AWGMWW) test statistic, one that is optimal in the Pitman Asymptotic Efficacy (PAE) sense, to discern differences in hippocampus shape among twin populations with or without Major Depressive Disorder (MDD). We verify, based on a previous study using the MWW statistic, that a high-risk group is more similar to the control group than the depressed group in terms of hippocampus shape. In addition, we show that the control group is more similar to the high-risk group than the depressed group - a distinction that could not be made in the preceding study. Our results suggest that the AWGMWW statistic is more powerful for this application.
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Mohan, N.R., Priebe, C., Park, Y., John, M. (2009). Statistical Analysis of Hippocampus Shape Using a Modified Mann-Whitney-Wilcoxon Test. In: Ślęzak, D., Arslan, T., Fang, WC., Song, X., Kim, Th. (eds) Bio-Science and Bio-Technology. BSBT 2009. Communications in Computer and Information Science, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10616-3_7
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DOI: https://doi.org/10.1007/978-3-642-10616-3_7
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