oracle aide

December 26, 2012

A Venn Pie (Using Venn pies to illustrate Bayes’ theorem)

The Bayes’ law is very easy to understand when it is explained visually. Venn diagrams are a very popular way to represent relations between sets in the Bayes’ theorem.

Unfortunately, Venn diagrams are inefficient in showing ratios.

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The best kind of diagrams to show ratios are the pie charts.

Combining Venn and Pie – by allowing pie sectors to overlap – makes diagrams more descriptive and illustrations of Bayes’ theorem – more intuitive.

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We could add some depth and make a 3D diagram to show that sets (or events) intersect.

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If we keep realistic proportions between sector sizes (even approximately), then the  popular problem about cancer becomes less dreadful.

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One day I will complete and publish an applet which makes it easy to play with interactive Venn Pies.

This is done.

Here is the Venn Pie Chart app written in HTML 5.

 

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2 Comments »

  1. How do you compute P(B) ?

    Comment by Bogdan Gavril — May 12, 2013 @ 8:03 pm


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