or Graphical Data Presentation - Poznań University of ... · or Graphical Data Presentation ......
Transcript of or Graphical Data Presentation - Poznań University of ... · or Graphical Data Presentation ......
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Data Visualization
or Graphical Data Presentation
Jerzy StefanowskiInstytut Informatyki
Data mining for SE -- 2013
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Ack.
Inspirations are coming from:•G.Piatetsky Schapiro lectures on KDD•J.Han on Data Mining•Ken Brodlie “Envisioning Information”•Chris North “Information Visualisation”
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What is visualization and data mining?
• Visualize: “To form a mental vision, image, or picture of (something not visible or present to the sight, or of an abstraction); to make visible to the mind or imagination.”
• Visualization is the use of computer graphics to create visual images which aid in the understanding of complex, often massive representations of data.
• Visual Data Mining is the process of discovering implicit but useful knowledge from large data sets using visualization techniques.
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Tables vs graphs
A table is best when: • You need to look up
specific values• Users need precise
values• You need to precisely
compare related values • You have multiple data
sets with different units ofmeasure
A graph is best when:• The message is
contained in the shape of the values
• You want to revealrelationships among multiple values (similarities anddifferences)
• Show general trends• You have large data sets
• Graphs and tables serve different purposes. Choose the appropriate data display to fit your purpose.
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Exploratory Data Analysis
• Pioneer -> John Tukey• New approach to data
analysis, heavily based on visualization, as an alternative to classical data analysis
• See its bio
• Two stage process:– Exploratory: Search for
evidence using all tools available
– Confirmatory: evaluate strength of evidence using classical data analysis
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Box Plots
• In some situations we have, not a single data value at a point, but a number of data values, or even a probability distribution
• When might this occur?• Tukey proposed the idea of a
boxplot to visualize the distribution of values
• For explanation and some history, see:
http://mathworld.wolfram.com/Box-and-WhiskerPlot.html
http://en.wikipedia.org/wiki/Box_plot
M – medianQ1, Q3 – quarrtilesWhiskers –1.5 * interquartile rangeDots - outliers
http://www.upscale.utoronto.ca/GeneralInterest/Harrison/Visualisation/Visualisation.html
Darwin’s plant study
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Distribution visualisation – US Crime Story
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Data Visualization – Common Display Types
Common Display Types– Bar Charts
– Line Charts
– Pie Charts
– Bubble Charts
– Stacked Charts
– Scatterplots
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When to use which type?
Line Graph – x-axis requires quantitative variable– Variables have contiguous values– Familiar/conventional ordering among
ordinals
Bar Graph– Comparison of relative point values
Scatter Plot– Convey overall impression of relationship
between two variables
Pie Chart– Emphasizing differences in proportion
among a few numbers
R2 = 0.87
0%
20%
40%
60%
80%
100%
0.0 0.2 0.4
05
101520
1 2 3 4 5 6 7 8
0
5
10
15
1 2 3 4 5 6 7 8
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Line Graph – Trend visualization
• Fundamental technique of data presentation
• Used to compare two variables
– X-axis is often the control variable
– Y-axis is the response variable
• Good at:– Showing specific values– Trends– Trends in groups (using
multiple line graphs)
Students participating in sporting activities
MobilePhone use
Note: graph labelling is fundamental
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Time line graph – show dynamics of measurements
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Stratified graphs
• Trends of values with respect to time and different qualitative categories
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Demo – Baby Names Voyager
http://www.babynamewizard.com/voyager
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Scatter Plot – Wykresy rozrzutu XY
• Used to present measurements of two variables
• Effective if a relationship exists between the two variables
Car ownership by household income
Example taken fromNIST Handbook –Evidence of strongpositive correlation
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Simple Representations – Bar Graph
• Bar graph– Presents categorical variables– Height of bar indicates value– Double bar graph allows
comparison– Note spacing between bars– Can be horizontal (when would
you use this?)
Internet use at a school
Number of police officers
Note more space for labels
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Dot Graph
• Very simple but effective…• Horizontal to give more space
for labelling
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Bad Visualization: Spreadsheet
Year Sales
1999 2,1102000 2,1052001 2,1202002 2,1212003 2,124
Sales
20952100210521102115212021252130
1999 2000 2001 2002 2003
Sales
What is wrong with this graph?
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Bad Visualization: Spreadsheet with misleading Y –axis
Year Sales
1999 2,1102000 2,1052001 2,1202002 2,1212003 2,124
Sales
20952100210521102115212021252130
1999 2000 2001 2002 2003
Sales
Y-Axis scale gives WRONGimpression of big change
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Better Visualization
Year Sales
1999 2,1102000 2,1052001 2,1202002 2,1212003 2,124
Sales
0500
10001500
20002500
3000
1999 2000 2001 2002 2003
Sales
Axis from 0 to 2000 scale gives correct impression of small change + small formatting tricks
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Integrating various graphs
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Pie Chart
• Pie chart summarises a set of categorical/nominal data
• But use with care…
• … too many segments are harder to compare than in a bar chart
Should we have a long lecture?
Favourite movie genres
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Visualizing in 4+ Dimensions
• Extensions of Scatterplots• Parallel Coordinates• Radar Figures• Other tools • …
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Multiple Views
Give each variable its own display
A B C D E1 4 1 8 3 52 6 3 4 2 13 5 7 2 4 34 2 6 3 1 5
A B C D E
1
2
3
4
Problem: does not show correlations
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Tableau bar comparisons
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Buisness Analytics Tools – Manager Dashboards
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Scatterplot Matrix
Represent each possiblepair of variables in theirown 2-D scatterplot(car data)
Q: Useful for what?A: linear correlations
(e.g. horsepower & weight)
Q: Misses what?A: multivariate effects
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Parallel Coordinates
• Encode variables along a horizontal row• Vertical line specifies values
Dataset in a Cartesian coordinates
Same dataset in parallel coordinates
Invented by Alfred Inselbergwhile at IBM, 1985
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Parallel Coordinates: 4 D
Sepal Length
5.1
Sepal Width
Petal length
Petal Width
3.5
sepal length
sepal width
petal length
petal width
5.1 3.5 1.4 0.2
1.4 0.2
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Parallel Coordinates Plots for Iris Data
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Radar Figures
• Agregate multidimensionalobservations
• Each observation gets a separate colour or graphsymbols
• Variables corresponds to angles
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Wykres radarowy –oceny wskaźników w ramach dziedzinyI poziom oceny
Wybrana dziedzina
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F. Nightingale (1856) – abstract representation
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Buisness Analytics Tools – Typical Reports
Raport more traditional Other forms
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Buisness Analytics Tools – Manager Dashboards
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Bars in business dashboards – Tableau Software
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Data analytics – kokpity menadżerskie
• SAS Enterprise BI
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Multidimensional Stacking
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Multidimensional presentation of nominal attributes
• VL1 diagrams (Michalski 70) for machine learning
STAGGER and concept drif
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Hierarchiczne wizualizacje - Treemaps
• Treemaps display hierarchical data using rectangles. Each branch of the tree is assigned a rectangle. Then each sub-branch gets assigned to a rectangle and this continues recursively until a leaf node is found.
• Depending on choice the rectangle representing the leaf node is colored, sized or both according to chosen attributes.
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Gapminder – Motion Charts
http://www.gapminder.org/ Using Bubble presentations
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Spotfire
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Chernoff Faces
Encode different variables’ values in characteristicsof human face
http://www.cs.uchicago.edu/~wiseman/chernoff/http://hesketh.com/schampeo/projects/Faces/chernoff.htmlCute applets:
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Hierarchical Techniques
Cone Trees [RMC91]• animated 3D
visualizations of hierarchical data
• file system structure visualized as a cone tree
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Abstract Hierarchical Information – Preview
TreemapTraditional
ConeTree SunTree Botanical
Hyperbolic Tree
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Visualization of Search Results & Inter-Document Similarities
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Abstract Text – MetaSearch Previews
Grokker Kartoo
AltaVistaLycos
MSN
MetaCrystal searchCrystal
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Other buisness tools
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Visualization of different conditions
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Overview and Detail
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Brushing and Linking
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Census Data
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Visualization of Association Rules in SGI/MineSet 3.0
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IBM Miner – visualization of mining results
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SGI – other tools
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Graph-based Techniques
Narcissus• Visualization of a large
number of web pages• visualization of complex
highly interconnected data
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Visualization of knowledge discovery process
• A graphical tool for arranging components / steps of KDD• Just a graph flow of actions• Graphical objects – plug and place• Parametrization• Often → you may produce a kind of scipt representing a
graphical flow of KD process
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Statsoft – Data mining graphical panel
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RapidMiner (YALE)
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Tukey’s recommendations
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Tufte’s Principles of Graphical Excellence
• Give the viewer – the greatest number of ideas – in the shortest time – with the least ink in the smallest space.
• Tell the truth about the data!
(E.R. (E.R. TufteTufte, , ““The Visual Display of Quantitative InformationThe Visual Display of Quantitative Information””, 2nd edition), 2nd edition)
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Look for other referencesAnd play with different software tools
Excel is not the only and best software
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Thank you for you coming to my lecture and asking questions!