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Examination of two methods for statistical analysis of data with magnitude and direction emphasizing vestibular research applicationsWhen the dependent (or response) variable response variable in an experiment has direction and magnitude, one approach that has been used for statistical analysis involves splitting magnitude and direction and applying univariate statistical techniques to the components. However, such treatment of quantities with direction and magnitude is not justifiable mathematically and can lead to incorrect conclusions about relationships among variables and, as a result, to flawed interpretations. This note discusses a problem with that practice and recommends mathematically correct procedures to be used with dependent variables that have direction and magnitude for 1) computation of mean values, 2) statistical contrasts of and confidence intervals for means, and 3) correlation methods.
Document ID
Document Type
Reprint (Version printed in journal)
Calkins, D. S. (KRUG Life Sciences Inc. Houston, Texas 77058, United States)
Date Acquired
August 22, 2013
Publication Date
July 1, 1998
Publication Information
Publication: Journal of vestibular research : equilibrium & orientation
Volume: 8
Issue: 4
ISSN: 0957-4271
Subject Category
Life Sciences (General)
Distribution Limits