Application of maximum likelihood paired comparison ranking to estimation of a linear dominance hierarchy in animal societies

C. Alex McMahan; Max D. Morris

doi:10.1016/S0003-3472(84)80271-7

Application of maximum likelihood paired comparison ranking to estimation of a linear dominance hierarchy in animal societies

C. Alex McMahan, Max D. Morris

Department of Pathology

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

Dominance hierarchies have been widely used for describing the outcome of competitive interactions in an animal group. We present a procedure for estimating the linear dominance hierarchy. The procedure uses the statistical method of paired comparisons, assuming weak stochastic transitivity to model interactions within a linear dominance hierarchy. The linear dominance hierarchy is estimated using a maximum likelihood ranking procedure. This method allows unequal numbers of encounters between pairs and does not require all pairs to have observed encounters. The method is illustrated by application to behavioural data from a group of 10 baboons (Papio cynocephalus anubis).

Original language	English (US)
Pages (from-to)	374-378
Number of pages	5
Journal	Animal Behaviour
Volume	32
Issue number	2
DOIs	https://doi.org/10.1016/S0003-3472(84)80271-7
State	Published - May 1984

ASJC Scopus subject areas

Ecology, Evolution, Behavior and Systematics
Animal Science and Zoology

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title = "Application of maximum likelihood paired comparison ranking to estimation of a linear dominance hierarchy in animal societies",

abstract = "Dominance hierarchies have been widely used for describing the outcome of competitive interactions in an animal group. We present a procedure for estimating the linear dominance hierarchy. The procedure uses the statistical method of paired comparisons, assuming weak stochastic transitivity to model interactions within a linear dominance hierarchy. The linear dominance hierarchy is estimated using a maximum likelihood ranking procedure. This method allows unequal numbers of encounters between pairs and does not require all pairs to have observed encounters. The method is illustrated by application to behavioural data from a group of 10 baboons (Papio cynocephalus anubis).",

author = "McMahan, {C. Alex} and Morris, {Max D.}",

note = "Funding Information: work was supported in part by grants HL-19362 and HL-28972 from the National Heart, Lung and Blood Institute.",

year = "1984",

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AU - McMahan, C. Alex

AU - Morris, Max D.

N1 - Funding Information: work was supported in part by grants HL-19362 and HL-28972 from the National Heart, Lung and Blood Institute.

PY - 1984/5

Y1 - 1984/5

N2 - Dominance hierarchies have been widely used for describing the outcome of competitive interactions in an animal group. We present a procedure for estimating the linear dominance hierarchy. The procedure uses the statistical method of paired comparisons, assuming weak stochastic transitivity to model interactions within a linear dominance hierarchy. The linear dominance hierarchy is estimated using a maximum likelihood ranking procedure. This method allows unequal numbers of encounters between pairs and does not require all pairs to have observed encounters. The method is illustrated by application to behavioural data from a group of 10 baboons (Papio cynocephalus anubis).

AB - Dominance hierarchies have been widely used for describing the outcome of competitive interactions in an animal group. We present a procedure for estimating the linear dominance hierarchy. The procedure uses the statistical method of paired comparisons, assuming weak stochastic transitivity to model interactions within a linear dominance hierarchy. The linear dominance hierarchy is estimated using a maximum likelihood ranking procedure. This method allows unequal numbers of encounters between pairs and does not require all pairs to have observed encounters. The method is illustrated by application to behavioural data from a group of 10 baboons (Papio cynocephalus anubis).

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Application of maximum likelihood paired comparison ranking to estimation of a linear dominance hierarchy in animal societies

Abstract

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