I know that Cramer's decomposition theorem says that any normal distribution can be expressed as the sum of multiple normal distributions. I have been searching for a method to divide a data set that constitute a normal distribution to 5 datasets, each of which will be a normal distribution and the sum of which will constitute the 'big' normal distribution I have begun with. Can some of you wizards suggest me a procedure? If you know the SPSS procedure, that will be even sweeter. Thanks a ton, in advance.
Cramer’s decomposition theorem - find normal distributions within a normal distribution.
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normal-distribution
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0Thanks a lot, @MichaelHardy and @Raskolnikov! I have interval data on a 5-point scale. This data has been collected across time. (The data is actually about the type of tourists visiting an attraction and I have data pertaining to this from the time the launch of the attraction took place, when the attraction was growing, when the attraction peaked, when the attraction was declining, and when the attraction was about dead. I want to model the distributions as follows, if possible: http://dl.dropbo$x$.com/u/13145402/diagram%20(1).docx Thanks for your time and effort! – 2012-09-08