Screenings in high-throughput genomic data with contemporary association measures
F. Castro-Prado, D. Edelmann, J. J. Goeman
Distance covariance is a general dependence measure that can be defined on general semimetric spaces, which can be shown to be dual to the Hilbert–Schmidt independence criterion popular in the machine learning community. Both concepts, in turn, present some interesting dualities with the "global tests" of Gaussian. We present some novel tests for the association of single nucleotide polymorphisms (SNPs) with quantitative responses, using this unified approach. We show that certain versions of distance covariance correspond to locally most powerful tests for specific statistical models leading to insights in which situations these tests perform well, which are of paramount interest in the application fields. Closed form expressions for the distributions of the test statistics and corresponding estimators are obtained from the spectral decomposition of the corresponding operators. The performance is illustrated via simulations and real data.
Keywords: Distance covariance, genomics, biostatistics, big data
Scheduled
Biostatistics I
June 9, 2022 10:10 AM
A13
Other papers in the same session
A. Garcia Hernandez, T. Perez Perez, D. Rizopoulos, M. C. Pardo Llorente
A. García Burgos, B. González Alzaga, M. J. Jiménez Asensio, M. Lacasaña Navarro, N. Rico Castro, D. Romero Molina
Y. Larriba, C. Rueda
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6/8/22
Visit Alhambra
Tomorrow, Thursday, we will visit the Alhambra. 1. At 7:00 p.m., buses will start leaving from the door of the Hotel Granada Center (in front of the door of the Faculty of Sciences) 2. Upon arrival, groups with guides will be organized. 3. There will be groups in English language. These groups will wait at the destination until the arrival of all buses. 4. After the visit to the Alhambra we will walk to the Carmen de los Mártires to have a cocktail. 5. On the way back, we can go back by bus, which will leave from the same place where they left us at the Alhambra. 6. Although the way to the Alhambra by bus seems long, it really is close to the city. We invite you, whoever wishes, to go down for a pleasant walk. 7. Do not forget to take your Alhambra ticket and your identity card or passport. The document must be the same whose number matches the ticket number you have.
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5/31/22
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5/27/22
Gala Dinner
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5/23/22
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5/16/22
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