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A thesis on ranking and selection in the method of paired comparison

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Relation http://eprints.cmfri.org.in/7082/
 
Title A thesis on ranking and selection in the method of paired comparison
 
Creator Scariah, K S
 
Subject Theses
 
Description Experimental situations where the subjective judgements or
appraisals of the individuals , lead to qualitative, comparative
responses or situations where quantifications through measure
ments are difficult or illusary, the method of paired comparison
has a significant role to play. Interest in paired comparison
has been generated through the paired nature of competitions of
many kinds, through the experimental simplicit:y of sensory
comparisons of items observed in pairs, and through combinatorial
properties associated with the construction of experimental
designs or tournaments.
The method of paired comparisons has had a long and honourable
history in psycological experiments. During the past three
decades this method has attracted the attention of people from
a wide spectrum of interest. In general, the method would be
applicable whenever the objects can be presented to judges to
assess their non-measurable quality in pairs either simulteniously
or in succession.
The basic goal in the method of paired comparison is to
discriminate between t> 2 treatments, on the basis of preference
data obtained by presenting the treatments in pairs in a given
order to a set of judges according to a specified paired comparison
design. In such experimental situations the method has led to
a surprising amount of model building to provide simple stochastic
representation. The main statistical problem with these models
have generally been that of estimation of the true worths of the
treatments, testing of goodness of fit of the model, testing the
hypothesis of equality of treatments etc based on the score
vector obtained by using a suitable economical paired comparison
design. Another type of problem that is of interest is to select
the best treatment with at least a specified high probability,
using a definite selection rule. Selection rules are defined in
terms of the score vector that is obtained by using the given
design. A related problem i s that o f choosing a subset of given
treatments which includes the best treatment with at least a
specified high probability. These problems are respectively
special cases of the two basic formulations referred to as
Indifference zone formulation end Subset s e l ection formulation
in the area of Ranking and Selection procedures for statistical
populations.
 
Date 1983
 
Type Thesis
NonPeerReviewed
 
Format application/pdf
 
Language en
 
Identifier http://eprints.cmfri.org.in/7082/1/TH-77_Sca.pdf
Scariah, K S (1983) A thesis on ranking and selection in the method of paired comparison. ["eprint_fieldopt_thesis_type_phd" not defined] thesis, Indian Institute of Technology, New Delhi.