Difference between revisions of "Segment 19. The Chi Square Statistic"

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(Added class exercise and data file.)
 
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The direct YouTube link is [http://youtu.be/87EMhmPkOhk http://youtu.be/87EMhmPkOhk]
 
The direct YouTube link is [http://youtu.be/87EMhmPkOhk http://youtu.be/87EMhmPkOhk]
  
Links to the slides: [http://slate.ices.utexas.edu/coursefiles/19.ChiSquareStatistic.pdf PDF file] or [http://slate.ices.utexas.edu/coursefiles/19.ChiSquareStatistic.ppt PowerPoint file]
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Links to the slides: [http://wpressutexas.net/coursefiles/19.ChiSquareStatistic.pdf PDF file] or [http://wpressutexas.net/coursefiles/19.ChiSquareStatistic.ppt PowerPoint file]
  
 
===Problems===
 
===Problems===
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==== Class Exercise ====
 
==== Class Exercise ====
[http://granite.ices.utexas.edu/coursewiki/images/3/39/Chi_square.pdf Class Exercise]
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[http://wpressutexas.net/coursewiki/images/3/39/Chi_square.pdf Class Exercise]
  
 
Data file: [[Media:mv_chi.txt]]
 
Data file: [[Media:mv_chi.txt]]

Latest revision as of 14:37, 22 April 2016

Watch this segment

(Don't worry, what you see statically below is not the beginning of the segment. Press the play button to start at the beginning.)

{{#widget:Iframe |url=http://www.youtube.com/v/87EMhmPkOhk&hd=1 |width=800 |height=625 |border=0 }}

The direct YouTube link is http://youtu.be/87EMhmPkOhk

Links to the slides: PDF file or PowerPoint file

Problems

To Calculate

1. Prove the assertion on lecture slide 5, namely that, for a multivariate normal distribution, the quantity , where is a random draw from the multivariate normal, is distributed.

To Think About

1. Why are we so interested in t-values? Why do we square them?

2. Suppose you measure a bunch of quantities , each of which is measured with a measurement accuracy and has a theoretically expected value . Describe in detail how you might use a chi-square test statistic as a p-value test to see if your theory is viable? Should your test be 1 or 2 tailed?


Class Exercise

Class Exercise

Data file: Media:mv_chi.txt