Statistics: Difference between revisions

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* Bootstrap mean is approximately a posterior average.
* Bootstrap mean is approximately a posterior average.
* Bootstrap aggregation or bagging average: Average the prediction over a collection of bootstrap samples, thereby reducing its variance. The bagging estimate is defined by  
* Bootstrap aggregation or bagging average: Average the prediction over a collection of bootstrap samples, thereby reducing its variance. The bagging estimate is defined by  
<math>\hat{f}_{bag}(x) = \frac{1}{B}\sum_{b=1}^B f</math>
<math>\hat{f}_{bag}(x) = \frac{1}{B}\sum_{b=1}^B \hat{f}^{*b}(x).</math>

Revision as of 11:06, 1 April 2013

Boxcox transformation

Finding transformation for normal distribution

Visualize the random effects

http://www.quantumforest.com/2012/11/more-sense-of-random-effects/

ROC curve and Brier score

Elements of Statistical Learning

Bagging

Chapter 8 of the book.

  • Bootstrap mean is approximately a posterior average.
  • Bootstrap aggregation or bagging average: Average the prediction over a collection of bootstrap samples, thereby reducing its variance. The bagging estimate is defined by

[math]\displaystyle{ \hat{f}_{bag}(x) = \frac{1}{B}\sum_{b=1}^B \hat{f}^{*b}(x). }[/math]