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A hybrid method to estimate the minimum effective dose for monotone and non‐monotone dose–response relationships
Author(s) -
Wolfsegger Martin J.,
Gutjahr Georg,
Engl Werner,
Jaki Thomas
Publication year - 2014
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/biom.12117
Subject(s) - monotone polygon , monte carlo method , mathematical optimization , computer science , mathematics , algorithm , statistics , geometry
Summary This article proposes a new multiple‐testing approach for estimation of the minimum effective dose allowing for non‐monotonous dose–response shapes. The presented approach combines the advantages of two commonly used methods. It is shown that the new approach controls the error rate of underestimating the true minimum effective dose. Monte Carlo simulations indicate that the proposed method outperforms alternative methods in many cases and is only marginally worse in the remaining situations.