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Exploding biplots with density axes in Plotly

Thesis (MCom)--Stellenbosch University, 2020.

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Bibliographic Details
Main Author: Sandilands, Delia
Other Authors: Van der Merwe, Carel Johannes
Format: Thesis
Language:en_ZA
Published: Stellenbosch : Stellenbosch University 2020
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access_status_str Open Access
author Sandilands, Delia
author2 Van der Merwe, Carel Johannes
author_browse Sandilands, Delia
Van der Merwe, Carel Johannes
author_facet Van der Merwe, Carel Johannes
Sandilands, Delia
author_sort Sandilands, Delia
collection Thesis
dc_rights_str_mv Stellenbosch University
description Thesis (MCom)--Stellenbosch University, 2020.
format Thesis
id oai:scholar.sun.ac.za:10019.1/109127
institution Stellenbosch University (South Africa)
language en_ZA
last_indexed 2026-06-10T12:43:21.794Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2020
publishDateRange 2020
publishDateSort 2020
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
record_format dspace
source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/109127 Exploding biplots with density axes in Plotly Sandilands, Delia Van der Merwe, Carel Johannes Stellenbosch University. Faculty of Economic and Management Sciences. Dept. of Statistics and Actuarial Science. Multidimensional databases -- Statistical methods Variables (Mathematics) -- Statistical methods Biplots Plotly (Computer program language) UCTD Thesis (MCom)--Stellenbosch University, 2020. ENGLISH SUMMARY : Biplots are visual approximations to multidimensional data sets and are very useful in data driven procedures. However, certain issues occur when dealing with a large number of observations or variables. A proposed solution to the former would be moving the variable axes orthogonally to the edges of the plot with an automatic procedure. This unclutters the center of the plot and makes it easier to interpret specific observations. When dealing with a large number of observations the datapoints become indifferentiable from one another and this could be difficult to interpret. This problem was addressed by creating densities on the variable axes. Along with these proposed enhancements, an interactive element to biplot plotting was introduced via the use of Plotly in R. This allows the user to dissect the biplot even further. A web-based Shiny application was built as supplement to this paper, and can be found at https://carelvdmerwe:shinyapps:io/ExplodingBiplots/. Here the user can interact with the data sets, proposed methodology, and functionalities presented in this research. AFRIKAANSE OPSOMMING : ’n Bi-stipping konstruksietegniek is baie voordelig wanneer veelvoudige data gevisualiseer moet word. Hierdie tegniek het egter ’n paar tekortkominge wanneer datastelle baie veranderlikes of observasies het. Wanneer die datastel baie veranderlikes het, raak die bi-stipping oor vol en dit raak al hoe moeiliker om te onderskei tussen veranderlikes se onderskeie asse. ’n Outomatiese algoritme om die asse te skuif word voorgestel om hierdie probleem aan te spreek. In de geval van baie observasies word dit moeilik om die verskillende gevalle of die waarskynlikheidsdigtheid van die observasies van die verskeie veranderlikes te sien. ’n Moontlike oplossing hiervoor wat insluit die konstruksie van waarskynlikheidsdigthede op elke veranderlike se as is voorgestel. ’n Web-gebaseerde Shiny toepassing was gebou aanvullend tot hierdie artikel, en kan gevind word op die webtuiste https://carelvdmerwe:shinyapps:io/ExplodingBiplots/. Hier kan die gebruiker self die toepassing van die prosesse voorgestel in hierdie navorsing sien. Masters 2020-10-26T14:20:13Z 2021-01-31T19:36:23Z 2020-10-26T14:20:13Z 2021-01-31T19:36:23Z 2020-12 Thesis http://hdl.handle.net/10019.1/109127 en_ZA Stellenbosch University vi, [26] pages ; illustrations, includes annexure application/pdf Stellenbosch : Stellenbosch University
spellingShingle Multidimensional databases -- Statistical methods
Variables (Mathematics) -- Statistical methods
Biplots
Plotly (Computer program language)
UCTD
Sandilands, Delia
Exploding biplots with density axes in Plotly
title Exploding biplots with density axes in Plotly
title_full Exploding biplots with density axes in Plotly
title_fullStr Exploding biplots with density axes in Plotly
title_full_unstemmed Exploding biplots with density axes in Plotly
title_short Exploding biplots with density axes in Plotly
title_sort exploding biplots with density axes in plotly
topic Multidimensional databases -- Statistical methods
Variables (Mathematics) -- Statistical methods
Biplots
Plotly (Computer program language)
UCTD
url http://hdl.handle.net/10019.1/109127
work_keys_str_mv AT sandilandsdelia explodingbiplotswithdensityaxesinplotly