slides for basics-visualizations ppt.ppt

Tan,Steinbach, Kumar: Exploratory Data Analysis (with modifications by Ch. Eick)
Data Mining: “New” Teaching Road Map
1. Introduction to Data Mining and KDD
2. Exploratory Data Analysis (just transparencies)
3. Preprocessing (Han; chapter 3)
4. Concept Description (Han; chapter 5)
5. Classification (Tan chapter 4,…)
Questionnaire
(15 minutes)

What is data exploration?
 Key motivations of data exploration include
– Helping to select the right tool for preprocessing, data analysis and data
mining
– Making use of humans’ abilities to recognize patterns
 People can recognize patterns not captured by data analysis tools
 Related to the area of Exploratory Data Analysis (EDA)
– Created by statistician John Tukey
– Seminal book is Exploratory Data Analysis by Tukey
– A nice online introduction can be found in Chapter 1 of the NIST
Engineering Statistics Handbook
http://www.itl.nist.gov/div898/handbook/index.htm
A preliminary exploration of the data to
better understand its characteristics.

Exploratory Data Analysis
Exploratory Data Analysis
Get Data
Preprocessing
Data Mining

Techniques Used In Data Exploration
 In EDA, as originally defined by Tukey
– The focus was on visualization
– Clustering and anomaly detection were viewed as
exploratory techniques
– In data mining, clustering and anomaly detection are
major areas of interest, and not thought of as just
exploratory
 In our discussion of data exploration, we focus
on
1. Summary statistics
2. Visualization

Iris Sample Data Set
 Many of the exploratory data techniques are illustrated with the Iris Plant data set.
– Can be obtained from the UCI Machine Learning Repository
http://www.ics.uci.edu/~mlearn/MLRepository.html
– From the statistician Douglas Fisher
– Three flower types (classes):
Setosa
Virginica
Versicolour
– Four (non-class) attributes
Sepal width and length
Petal width and length
Virginica. Robert H. Mohlenbrock. USDA
NRCS. 1995. Northeast wetland flora: Field
office guide to plant species. Northeast National
Technical Center, Chester, PA. Courtesy of
USDA NRCS Wetland Science Institute.

1. Summary Statistics
 Summary statistics are numbers that summarize
properties of the data
– Summarized properties include frequency, location and
spread
 Examples: location - mean
spread - standard deviation
– Most summary statistics can be calculated in a single
pass through the data

Frequency and Mode
 The frequency of an attribute value is the
percentage of time the value occurs in the
data set
– For example, given the attribute ‘gender’ and a
representative population of people, the gender
‘female’ occurs about 50% of the time.
 The mode of a an attribute is the most frequent
attribute value
 The notions of frequency and mode are typically
used with categorical data

Percentiles
 For continuous data, the notion of a percentile is
more useful.
Given an ordinal or continuous attribute x and a
number p between 0 and 100, the pth percentile is
a value of x such that p% of the observed
values of x are less than .
 For instance, the 50th percentile is the value
such that 50% of all values of x are less than .

xp

xp

xp

x50%
x50%

Measures of Location: Mean and Median
 The mean is the most common measure of the
location of a set of points.
 However, the mean is very sensitive to outliers.
 Thus, the median or a trimmed mean is also
commonly used.

Measures of Spread: Range and Variance
 Range is the difference between the max and min
 The variance or standard deviation
 However, this is also sensitive to outliers, so that
other measures are often used.
(Mean Absolute Deviation) [Han]
(Absolute Average Deviation) [Tan]
(Median Absolute Deviation)
standard_deviation(x)= sx
0, 2, 3, 7, 8
11.
5
3.
3
2.8
1
5

2. Visualization
Visualization is the conversion of data into a visual
or tabular format so that the characteristics of the
data and the relationships among data items or
attributes can be analyzed or reported.
 Visualization of data is one of the most powerful
and appealing techniques for data exploration.
– Humans have a well developed ability to analyze large
amounts of information that is presented visually
– Can detect general patterns and trends
– Can detect outliers and unusual patterns

Example: Sea Surface Temperature
 The following shows the Sea Surface
Temperature (SST) for July 1982
– Tens of thousands of data points are summarized in a
single figure

Representation
 Is the mapping of information to a visual format
 Data objects, their attributes, and the relationships
among data objects are translated into graphical
elements such as points, lines, shapes, and
colors.
 Example:
– Objects are often represented as points
– Their attribute values can be represented as the
position of the points or the characteristics of the
points, e.g., color, size, and shape
– If position is used, then the relationships of points, i.e.,
whether they form groups or a point is an outlier, is
easily perceived.

Arrangement
 Is the placement of visual elements within a
display
 Can make a large difference in how easy it is to
understand the data
 Example:

Example: Visualizing Universities

Selection
 Is the elimination or the de-emphasis of certain
objects and attributes
 Selection may involve the chosing a subset of
attributes
– Dimensionality reduction is often used to reduce the
number of dimensions to two or three
– Alternatively, pairs of attributes can be considered
 Selection may also involve choosing a subset of
objects
– A region of the screen can only show so many points
– Can sample, but want to preserve points in sparse
areas

Visualization Techniques: Histograms
 Histogram
– Usually shows the distribution of values of a single variable
– Divide the values into bins and show a bar plot of the number of
objects in each bin.
– The height of each bar indicates the number of objects
– Shape of histogram depends on the number of bins
 Example: Petal Width (10 and 20 bins, respectively)

Two-Dimensional Histograms
 Show the joint distribution of the values of two
attributes
 Example: petal width and petal length
– What does this tell us?

Visualization Techniques: Box Plots
 Box Plots
– Invented by J. Tukey
– Another way of displaying the distribution of data
– Following figure shows the basic part of a box plot
outlier
10th
percentile
25th
percentile
75th
percentile
50th
percentile
90th
percentile

Example of Box Plots
 Box plots can be used to compare attributes

Visualization Techniques: Scatter Plots
 Scatter plots
– Attributes values determine the position
– Two-dimensional scatter plots most common, but can
have three-dimensional scatter plots
– Often additional attributes can be displayed by using
the size, shape, and color of the markers that
represent the objects
– It is useful to have arrays of scatter plots can
compactly summarize the relationships of several pairs
of attributes
 See example on the next slide

Scatter Plot Array of Iris Attributes

Visualization Techniques: Contour Plots
 Contour plots
– Useful when a continuous attribute is measured on a
spatial grid
– They partition the plane into regions of similar values
– The contour lines that form the boundaries of these
regions connect points with equal values
– The most common example is contour maps of
elevation
– Can also display temperature, rainfall, air pressure,
etc.
 An example for Sea Surface Temperature (SST) is provided
on the next slide

Contour Plot Example: SST Dec, 1998
Celsius

Visualization Techniques: Parallel Coordinates
 Parallel Coordinates
– Used to plot the attribute values of high-dimensional
data
– Instead of using perpendicular axes, use a set of
parallel axes
– The attribute values of each object are plotted as a
point on each corresponding coordinate axis and the
points are connected by a line
– Thus, each object is represented as a line
– Often, the lines representing a distinct class of objects
group together, at least for some attributes
– Ordering of attributes is important in seeing such
groupings

Parallel Coordinates Plots for Iris Data

Other Visualization Techniques
 Star Coordinate Plots
– Similar approach to parallel coordinates, but axes radiate from a
central point
– The line connecting the values of an object is a polygon
 Chernoff Faces
– Approach created by Herman Chernoff
– This approach associates each attribute with a characteristic of a
face
– The values of each attribute determine the appearance of the
corresponding facial characteristic
– Each object becomes a separate face
– Relies on human’s ability to distinguish faces
– http://people.cs.uchicago.edu/~wiseman/chernoff/
– http://kspark.kaist.ac.kr/Human%20Engineering.files/Chernoff/Ch
ernoff%20Faces.htm#

Star Plots for Iris Data
Setosa
Versicolour
Virginica
Pedal length
Sepal length
Pedal width
Sepal Width

Chernoff Faces for Iris Data
Setosa
Versicolour
Virginica
Translation: sepal lengthsize of face; sepal width forhead/jaw relative to arc-length;
Pedal lengthshape of forhead; pedal width shape of jaw; width of mouth…; width between eyes…

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