AUTHOR=Trendtel Matthias , Ünlü Ali , Dzhafarov Ehtibar 

TITLE=Matrices Satisfying Regular Minimality

JOURNAL=Frontiers in Psychology

VOLUME=1

YEAR=2010

URL=https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2010.00211

DOI=10.3389/fpsyg.2010.00211

ISSN=1664-1078

ABSTRACT=<p>A matrix of discrimination measures (discrimination probabilities, numerical estimates of dissimilarity, etc.) satisfies Regular Minimality (RM) if every row and every column of the matrix contains a single minimal entry, and an entry minimal in its row is minimal in its column. We derive a formula for the proportion of RM-compliant matrices among all square matrices of a given size and with no tied entries. Under a certain “meta-probabilistic” model this proportion can be interpreted as the probability with which a randomly chosen matrix turns out to be RM-compliant.</p>