A test for a conjunction

K. J. Worsley and K. J. Friston

Statistics & Probability Letters, 2000, vol. 47, issue 2, 135-140

Abstract: A conjunction is defined in the brain mapping literature as the occurrence of the same event at the same location in two or more independent 3D brain images. The images are smooth isotropic 3D random fields of test statistics, and the event occurs when the image exceeds a fixed high threshold. We give a simple approximation to the probability of a conjunction occurring anywhere in a fixed region, so that we can test for a local increase in the mean of the images at the same unknown location in all images, a generalization of the split-t test. This is the corollary to a more general result on the expected Minkowski functionals of the set of points where a conjunction occurs.

Keywords: Split-t; test; Random; field; Euler; characteristic; Integral; geometry; Stereology (search for similar items in EconPapers)
Date: 2000
References: View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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