2019
DOI: 10.1080/01621459.2018.1554485
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Cauchy Combination Test: A Powerful Test With Analytic p-Value Calculation Under Arbitrary Dependency Structures

Abstract: Combining individual p-values to aggregate multiple small effects has a long-standing interest in statistics, dating back to the classic Fisher's combination test. In modern large-scale data analysis, correlation and sparsity are common features and efficient computation is a necessary requirement for dealing with massive data. To overcome these challenges, we propose a new test that takes advantage of the Cauchy distribution. Our test statistic has a very simple form and is defined as a weighted sum of Cauchy… Show more

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Cited by 292 publications
(460 citation statements)
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References 31 publications
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“…To utilize the power of predictions based on H3K27ac-ChIP-seq and DNase-seq ISD models, and TF ChIP-seq peak-only models (Fig. 1c-5), results are combined using the Cauchy combination test 38 (Fig. 1c-6).…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…To utilize the power of predictions based on H3K27ac-ChIP-seq and DNase-seq ISD models, and TF ChIP-seq peak-only models (Fig. 1c-5), results are combined using the Cauchy combination test 38 (Fig. 1c-6).…”
Section: Resultsmentioning
confidence: 99%
“…For motif-based methods, DNase-seq and H3K27ac ΔRPs are combined to get the final inference of TRs. Both combination of statistics follows the Cauchy combination test 38 , in which the combined statistics for each TR is , j represents one TR, i represents i th method within ChIP-seq-based or motif-based methods, p i is the corresponding p-value, w i is set to 1/d where d is 3 for ChIP-seq-based method or 2 for the motif-based method. The combined p-value for a TR j is computed as p j = 1 / 2 − (arctan( t j )) / π .…”
Section: Methodsmentioning
confidence: 99%
“…To obviate the need for choosing between them, we have proposed an adaptive omnibus test (O-INT). O-INT combines the p-values from D-INT and I-INT via Cauchy combination(Liu and Xie, 2019;, and may easily be extended to incorporate p-values from complementary (e.g. non-parametric) association tests.…”
mentioning
confidence: 99%
“…Other choices of 1 and 2 , e.g., ( 1 , 2 ) = (0.5,0.5) can also be used. The p-value of could be approximated by29…”
mentioning
confidence: 99%
“…Instead of performing the usual Bonferroni correction, which could be quite conservative for multiple testing adjustment in this situation, we empirically calculate genome-wise/family-wise p-values by efficient Monte Carlo simulations. For each region, we calculate the region-based p-value using the score-based tests, such as burden and SKAT and the new omnibus tests that combine burden and SKAT and different weights using the Cauchy-based ACAT method 29. Calculations of these methods only require fitting the null model by regressing a phenotype on covariates once across the genome.…”
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confidence: 99%