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DTSTAMP:20250812T153541Z
DESCRIPTION:Fisher’s method revisited: set-based genetic association and in
 teraction studies.\n\nFisher’s method\, also known as Fisher’s combined pr
 obability test\, is commonly used in meta-analyses to combine p-values fro
 m the same test applied to K independent samples to evaluate a common null
  hypothesis. Here we propose to use it to combine p-values from different 
 tests applied to the same sample in two settings: when jointly analyzing m
 ultiple genetic variants in set-based genetic association studies\, or whe
 n jointly capturing main and interaction effects in the presence of missin
 g one of the interacting variables. In the first setting\, we show that ma
 ny existing methods (e.g. the so called burden test and SKAT) can be class
 ified into a class of linear statistics and another class of quadratic sta
 tistics\, where each class is powerful only in part of the high-dimensiona
 l parameter space. In the second setting\, we show that the class of scale
 -tests for heteroscedasticity can be utilized to indirectly identify unspe
 cified interaction effects\, complementing the class of location-tests des
 igned for detecting main effects only. In both settings\, we show that the
  two classes of tests are asymptotically independent of each other under t
 he global null hypothesis. Thus\, we can evaluate the significance of the 
 resulting Fisher’s test statistic using the chi-squared distribution with 
 four degrees of freedom\; this is a desirable feature for analyzing big da
 ta. In addition to analytical results\, we provide empirical evidence to s
 how that the new class of joint test is not only robust but can also have 
 better power than the individual tests. This is based on join work with fo
 rmal graduate students Andriy Derkach (Derkach et al. 2013\, Genetic Epide
 miology\; Derkach et al. 2014\, Statistical Science) and David Soave (Soav
 e et al. 2015\, The American Journal of Human Genetics\; Soave and Sun 201
 7\, Biometrics).\n
DTSTART:20171201T203000Z
DTEND:20171201T213000Z
LOCATION:Room 1205\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Lei Sun\, University of Toronto
URL:/mathstat/channels/event/lei-sun-university-toront
 o-283125
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