Quantal models: a review with additional methodological development

dc.contributor.authorCankaya, E.
dc.contributor.authorFieller, N. R. J.
dc.date.accessioned2025-03-23T19:35:19Z
dc.date.available2025-03-23T19:35:19Z
dc.date.issued2009
dc.departmentSinop Üniversitesi
dc.description.abstractAnalysis of quantal models is a particular aspect of the general problem of investigating multimodality. The distinction is that the spacings between modes are integral multiples of some unspecified fundamental unit and that the number of modes is not defined. Such semi-structured models arise in a wide variety of contexts such as biology, cosmology, archaeology and molecular physics. This paper presents a brief review of their historical development in such areas as an aid to their recognition in other contexts as well as giving guidance to their analysis from the statistical viewpoint. The available methodology for their analysis is collated into a coherent and self-contained account, establishing various optimality properties under particular parametric distributional assumptions. An illustrative power study shows how dependence on sample size and failure of assumptions such as underlying distribution, origin of measurements and independence affect the power of various analyses. These aspects are illustrated by an example from developmental biology.
dc.identifier.doi10.1080/02664760802466195
dc.identifier.endpage384
dc.identifier.issn0266-4763
dc.identifier.issue4
dc.identifier.scopus2-s2.0-70449368676
dc.identifier.scopusqualityQ1
dc.identifier.startpage369
dc.identifier.urihttps://doi.org/10.1080/02664760802466195
dc.identifier.urihttps://hdl.handle.net/11486/5843
dc.identifier.volume36
dc.identifier.wosWOS:000265334000002
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherRoutledge Journals, Taylor & Francis Ltd
dc.relation.ispartofJournal of Applied Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250323
dc.subjectcosine quantogram
dc.subjectmegalithic yard
dc.subjectquantal model
dc.subjectmultimodality
dc.subjectpower
dc.titleQuantal models: a review with additional methodological development
dc.typeArticle

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