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Talk:Significance of E. Coli Evolution Experiments (view source)
Revision as of 23:50, March 4, 2009
, 23:50, March 4, 2009Comparing Monte Carlo to chi-square is an apples to oranges comparison
SJohnson, your assessment, while good in the utilization of the chi-squared test is unfortunately incorrect. The Monte Carlo resampling gives a more accurate p-value than the chi-squared. You may research the literature (i.e. publications in statistical mathematics, many pubs actualy compare Monte Carlo vs Chi Squared) to discover that this method is commonly used in advance statistical work and how it is more accurate than the chi-squared test.--[[User:Able806|Able806]] 17:00, 4 March 2009 (EST)
SJohnson, your assessment, while good in the utilization of the chi-squared test is unfortunately incorrect. The Monte Carlo resampling gives a more accurate p-value than the chi-squared. You may research the literature (i.e. publications in statistical mathematics, many pubs actualy compare Monte Carlo vs Chi Squared) to discover that this method is commonly used in advance statistical work and how it is more accurate than the chi-squared test.--[[User:Able806|Able806]] 17:00, 4 March 2009 (EST)
:It doesn’t make sense to compare the chi-square test, which is a specific statistical hypothesis test, to Monte Carlo methods, which can be used for anything from fluid motion modeling to p-value computations. You can use Monte Carlo methods to compute the p-values of the chi-square test!
:Monte Carlo methods involve the generation of random realizations. Your broad claim the Monte Carlo methods are “more accurate” than the chi-square test is obviously incorrect because the accuracy of Monte Carlo methods always depends on the number of random realizations generated. When p-values are small, Monte Carlo methods are notoriously inaccurate unless the number of realizations generated is enormous.
:Which publications compare Monte Carlo to chi-square and show that the former is more accurate? Could you provide specific examples? Thanks. [[User:SJohnson|SJohnson]] 18:50, 4 March 2009 (EST)