visualizing data

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Visualizing Data Jeff Arnold April 9, 2013 Emory University, Atlanta

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Talk I gave on April 9, 2013 for a post-doc position. Intended to be a lecture from an undergraduate level political science introductory statistics course.

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Page 1: Visualizing Data

Visualizing DataJeff Arnold

April 9, 2013Emory University, Atlanta

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OutlineExamples1.  Florence Nightingale2.  Challenger ExplosionWhat is it?How does it work?When doesn't it work?

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Examples

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Florence Nightingale

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Challenger Explosion

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What is DataVisualization?

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Grammar of Graphics

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Grammar of Graphics

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Grammar of GraphicsGeometric Shapespointslinesbarstext

Aesthetics: convey informationx positiony positionsize of elementsshape of elementscolor of elements

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Data and Aesthetics

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How does itwork?

PATTERNSPATTERNSPATTRESNPATTERNS

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Anscombe Quartet

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Looking for Patterns

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Expected DataActual DataPlots are Comparisons

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When (and why)does it not

work?1.  Too many variables2.  Too many observations3.  Perceptual biases4.  Understanding randomness

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Too Many Variables

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Too Many Observations (I)

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Too Many Observations (II)

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Too Many Observations (III)

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Visual Perception BiasesQ: What is the value of a ­ b? Does it change?

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Visual Perception BiasesA: a ­ b = 2 everywhere.

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Visual Perception Biases

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Visual Perception Biases

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Understanding RandomnessQ: In which plot were the points selected from a uniform

random distribution?

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Understanding RandomnessA: The plot on the right. 

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ConclusionData visualization and statistics are complementary

Data visualizationintuitivecognitive biases

Statistical methodsun­intuitiveovercome our cognitive biases

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Questions?

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References

Kimmo Soramaki, Morten L. Bech, Jeffrey Arnold, Robert J. Glass and Walter E. Beyeler (2007). "The Topology of

Interbank Payment Flows", Physica A. 

Hadley Wickham (2010). "A Layered Grammar of Graphics", Journal of Computational and Graphical Statistics. 

Nightingale receiving the Wounded at Scutari, By Jerry Barrett

Diagram of the Causes of Mortality in the Army in the East, by Florence Nightingale

Space Shuttle Challenger explodes shortly after take­off.

Plot of GE vs. SP500 from Yahoo! Finance

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