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Efficient Evaluation of Ranking Procedures when the Number of Units is Large, with Application to SNP Identification
Author(s) -
Louis Thomas A.,
Ruczinski Ingo
Publication year - 2010
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.200900044
Subject(s) - ranking (information retrieval) , computer science , identification (biology) , set (abstract data type) , convergence (economics) , sample size determination , sample (material) , data mining , mathematics , statistics , machine learning , botany , chemistry , chromatography , economics , biology , programming language , economic growth
Simulation‐based assessment is a popular and frequently necessary approach for evaluating statistical procedures. Sometimes overlooked is the ability to take advantage of underlying mathematical relations and we focus on this aspect. We show how to take advantage of large‐sample theory when conducting a simulation using the analysis of genomic data as a motivating example. The approach uses convergence results to provide an approximation to smaller‐sample results, results that are available only by simulation. We consider evaluating and comparing various ranking‐based methods for identifying the most highly associated SNPs in a genome‐wide association study, derive integral equation representations of the pre‐posterior distribution of percentiles produced by three ranking methods, and provide examples comparing performance. These results are of interest in their own right and set the framework for a more extensive set of comparisons.