Directions Old and New: Palaeomagnetism and Fisher (1953) Meet Modern Statistics

dc.contributor.authorScealy, Janice
dc.contributor.authorHeslop, David
dc.contributor.authorLIU, JIA
dc.contributor.authorWood, Andrew
dc.date.accessioned2023-10-10T21:11:48Z
dc.date.issued2021
dc.date.updated2022-08-14T08:16:20Z
dc.description.abstractMost modern articles in the palaeomagnetism literature are based on statistics developed by Fisher's 1953 paper ‘Dispersion on a sphere’, which assumes independent and identically distributed (iid) spherical data. However, palaeomagnetic sample designs are usually hierarchical, where specimens are collected within sites and the data are then combined across sites to calculate an overall mean direction for a geological formation. The specimens within sites are typically more similar than specimens between different sites, and so the iid assumptions fail. This article has three principal goals. The first is to review, contrast and compare both the statistics and geophysics literature on the topic of analysis methods for clustered data on spheres. The second is to present a new hierarchical parametric model, which avoids the unrealistic assumption of rotational symmetry in Fisher's 1953 paper ‘Dispersion on a sphere’ and may be broadly useful in the analysis of many palaeomagnetic datasets. To help develop the model, we use publicly available data as a case study collected from the Golan Heights volcanic plateau. The third goal is to explore different methods for constructing confidence regions for the overall mean direction based on clustered data. Two bootstrap confidence regions that we propose perform well and will be especially useful to geophysics practitioners.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0306-7734en_AU
dc.identifier.urihttp://hdl.handle.net/1885/301855
dc.language.isoen_AUen_AU
dc.publisherInternational Statistical Instituteen_AU
dc.rights© 2022 The authorsen_AU
dc.sourceInternational Statistical Reviewen_AU
dc.subjectPalaeomagnetismen_AU
dc.subjectspherical dataen_AU
dc.subjectmixed effectsen_AU
dc.subjectbootstrap.en_AU
dc.titleDirections Old and New: Palaeomagnetism and Fisher (1953) Meet Modern Statisticsen_AU
dc.typeJournal articleen_AU
local.bibliographicCitation.issue2en_AU
local.bibliographicCitation.lastpage258en_AU
local.bibliographicCitation.startpage237en_AU
local.contributor.affiliationScealy, Janice, College of Business and Economics, ANUen_AU
local.contributor.affiliationHeslop, David, College of Science, ANUen_AU
local.contributor.affiliationLiu, Jia, College of Science, ANUen_AU
local.contributor.affiliationWood, Andrew, College of Business and Economics, ANUen_AU
local.contributor.authoremailu4919989@anu.edu.auen_AU
local.contributor.authoruidScealy, Janice, u4337592en_AU
local.contributor.authoruidHeslop, David, u4919989en_AU
local.contributor.authoruidLiu, Jia, u4428177en_AU
local.contributor.authoruidWood, Andrew, u1053115en_AU
local.description.embargo2099-12-31
local.description.notesImported from ARIESen_AU
local.identifier.absfor490501 - Applied statisticsen_AU
local.identifier.ariespublicationa383154xPUB23971en_AU
local.identifier.citationvolume90en_AU
local.identifier.doi10.1111/insr.12481en_AU
local.identifier.scopusID2-s2.0-85119153882
local.identifier.uidSubmittedBya383154en_AU
local.publisher.urlhttps://onlinelibrary.wiley.com/en_AU
local.type.statusPublished Versionen_AU

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