Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Motivation: Permutation tests have become a standard tool to assess the statistical significance of an event under investigation. The statistical significance, as expressed in a P-value, is calculated as the fraction of permutation values that are at least as extreme as the original statistic, which was derived from non-permuted data. This empirical method directly couples both the minimal obtainable P-value and the resolution of the P-value to the number of permutations. Thereby, it imposes upon itself the need for a very large number of permutations when small P-values are to be accurately estimated. This is computationally expensive and often infeasible.#R##N##R##N#Results: A method of computing P-values based on tail approximation is presented. The tail of the distribution of permutation values is approximated by a generalized Pareto distribution. A good fit and thus accurate P-value estimates can be obtained with a drastically reduced number of permutations when compared with the standard empirical way of computing P-values.#R##N##R##N#Availability: The Matlab code can be obtained from the corresponding author on request.#R##N##R##N#Contact: tknijnenburg@systemsbiology.org#R##N##R##N#Supplementary information: Supplementary data are available at Bioinformatics online.
['Theo A. Knijnenburg', 'Lodewyk F. A. Wessels', 'Marcel J. T. Reinders', 'Ilya Shmulevich']
I am writing a research paper on a idea Fewer permutations, more accurate P-values
[{"from": "human", "value": "I am writing a research paper on a idea Fewer permutations, more accurate P-values"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Motivation: Permutation tests have become a standard tool to assess the statistical significance of an event under investigation. The statistical significance, as expressed in a P-value, is calculated as the fraction of permutation values that are at least as extreme as the original statistic, which was derived from non-permuted data. This empirical method directly couples both the minimal obtainable P-value and the resolution of the P-value to the number of permutations. Thereby, it imposes upon itself the need for a very large number of permutations when small P-values are to be accurately estimated. This is computationally expensive and often infeasible.#R##N##R##N#Results: A method of computing P-values based on tail approximation is presented. The tail of the distribution of permutation values is approximated by a generalized Pareto distribution. A good fit and thus accurate P-value estimates can be obtained with a drastically reduced number of permutations when compared with the standard empirical way of computing P-values.#R##N##R##N#Availability: The Matlab code can be obtained from the corresponding author on request.#R##N##R##N#Contact: tknijnenburg@systemsbiology.org#R##N##R##N#Supplementary information: Supplementary data are available at Bioinformatics online."}]