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Discrimination surfaces with application to region‐specific brain asymmetry analysis
Author(s) -
Martos Gabriel,
Carvalho Miguel
Publication year - 2018
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.7611
Subject(s) - estimator , statistic , asymmetry , brain asymmetry , mathematics , statistics , confidence interval , pattern recognition (psychology) , psychology , computer science , artificial intelligence , cognitive psychology , physics , quantum mechanics , lateralization of brain function
Discrimination surfaces are here introduced as a diagnostic tool for localizing brain regions where discrimination between diseased and nondiseased participants is higher. To estimate discrimination surfaces, we introduce a Mann‐Whitney type of statistic for random fields and present large‐sample results characterizing its asymptotic behavior. Simulation results demonstrate that our estimator accurately recovers the true surface and corresponding interval of maximal discrimination. The empirical analysis suggests that in the anterior region of the brain, schizophrenic patients tend to present lower local asymmetry scores in comparison with participants in the control group.