Visualization Techniques Multivariate Data IDV 2015/2016



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Iteractive Data Visualizatio 09 Visualizatio Techiques Multivariate Data IDV 2015/2016

Notice Author t João Moura Pires (jmp@fct.ul.pt) This material ca be freely used for persoal or academic purposes without ay previous authorizatio from the author, provided that this otice is kept with. For commercial purposes the use of ay part of this material requires the previous authorisatio from the author. Visualizatio Techiques Multivariate Data - 2

Multivariate Data Data that does ot geerally have a explicit spatial attribute Poit-Based Techiques Project records from a -dimesioal data space to a arbitrary k-dimesioal display space, such that data records map to k-dimesioal poits. (e.g. Scatterplots) Lie-Based Techiques t Poits correspodig to a particular record or di- mesio are liked together with straight or curved lies. (e.g. Lie Graphs, Parallel Coordiates) Regio-Based Techiques t Filled polygos are used to covey values, based o their size, shape, color, or other attributes. (e.g. Bar Charts/Histograms) Visualizatio Techiques Multivariate Data - 3

Table of Cotets Poit-Based Techiques t Projectig high-dimesioal poits ito 2D or 3D display space Lie-Based Techiques Regio-Based Techiques Combiatios of Techiques Visualizatio Techiques Multivariate Data - 4

Iteractive Data Visualizatio Poit-Based Techiques Visualizatio Techiques Multivariate Data - 5

Multivariate Data: Poit-Based Techiques Scatterplots ad Scatterplot Matrices Their success stems from our iate abilities to judge relative positio withi a bouded space As the dimesioality of the data icreases, the choices for visual aalysis cosist of: dimesio subsettig (user selectio or algorithm based suggestio); dimesio reductio; dimesio embeddig ; multiple displays (either superimposed or juxtaposed). Visualizatio Techiques Multivariate Data - 6

Multivariate Data: Poit-Based Techiques Visualizatio Techiques Multivariate Data - 7

Multivariate Data: Poit-Based Techiques Force-Based Methods Projectig high-dimesioal poits ito 2D or 3D display space. Multidimesioal scalig (MDS) Iris data set projected usig MDS Visualizatio Techiques Multivariate Data - 8

Multivariate Data: Poit-Based Techiques Force-Based Methods Visualizatio Techiques Multivariate Data - 9

Multivariate Data: Poit-Based Techiques Force-Based Methods Visualizatio Techiques Multivariate Data - 10

Iteractive Data Visualizatio Lie-Based Techiques Visualizatio Techiques Multivariate Data - 11

Parallel Coordiates ( -coords or PCP) Iselberg i 1985 State of the Art of Parallel Coordiates J. Heirich ad D. Weiskopf Visualizatio Techiques Multivariate Data - 12

Parallel Coordiates ( -coords or PCP) State of the Art of Parallel Coordiates J. Heirich ad D. Weiskopf Visualizatio Techiques Multivariate Data - 13

Parallel Coordiates ( -coords or PCP) State of the Art of Parallel Coordiates J. Heirich ad D. Weiskopf Visualizatio Techiques Multivariate Data - 14

Parallel Coordiates ( -coords or PCP) State of the Art of Parallel Coordiates J. Heirich ad D. Weiskopf Visualizatio Techiques Multivariate Data - 15

Parallel Coordiates ( -coords or PCP) Check https://sytagmatic.github.io/parallel-coordiates/ See the video: https://youtu.be/ypc7ul9lkxa State of the Art of Parallel Coordiates J. Heirich ad D. Weiskopf Visualizatio Techiques Multivariate Data - 16

Multivariate Data: Lie-Based Techiques Lie Graphs Visualizatio Techiques Multivariate Data - 17

Multivariate Data: Lie-Based Techiques Parallel Coordiates Visualizatio Techiques Multivariate Data - 18

Multivariate Data: Lie-Based Techiques Parallel Coordiates Visualizatio Techiques Multivariate Data - 19

Multivariate Data: Lie-Based Techiques Adrews curves Visualizatio Techiques Multivariate Data - 20

Multivariate Data: Lie-Based Techiques Radial Axis Techiques circular lie graph; polar graphs: poit plots usig polar coordiates; circular bar charts: like circular lie graphs, but plottig bars o the base lie; circular area graphs: like a lie graph, but with the area uder lie filled i with a color or texture; circular bar graphs: with bars that are circular arcs with a commo ceter poit ad base lie. Visualizatio Techiques Multivariate Data - 21

Multivariate Data: Lie-Based Techiques Visualizatio Techiques Multivariate Data - 22

Iteractive Data Visualizatio Regio-Based Techiques Visualizatio Techiques Multivariate Data - 23

Multivariate Data: Regio-Based Techiques Bar Charts/Histograms Visualizatio Techiques Multivariate Data - 24

Multivariate Data: Regio-Based Techiques Tabular Displays Visualizatio Techiques Multivariate Data - 25

Multivariate Data: Regio-Based Techiques Visualizatio Techiques Multivariate Data - 26

Iteractive Data Visualizatio Combiatios of Techiques Visualizatio Techiques Multivariate Data - 27

Multivariate Data: Combiatios of Techiques Glyphs ad Icos Dese Pixel Displays May others Visualizatio Techiques Multivariate Data - 28

Multivariate Data: Combiatios of Techiques Glyphs ad Icos Visualizatio Techiques Multivariate Data - 29

Iteractive Data Visualizatio Further Readig ad Summary Visualizatio Techiques Multivariate Data - 30

Further Readig Pag 253-284 from Iteractive Data Visualizatio: Foudatios, Techiques, ad Applicatios, Matthew O. Ward, Georges Gristei, Daiel Keim, 2015 Visualizatio Techiques Multivariate Data - 31