We propose tests for sphericity and identity of high-dimensional covariance matrices. The tests are nonparametric without assuming a specific parametric distribution for the data. They can accommodate situations where the data dimension is much larger than the sample size, namely the " large p, small n " situations. We demonstrate by both theoretical and… (More)
Single variant analysis in genome-wide association studies (GWAS) has been proven to be successful in identifying thousands of genetic variants associated with hundreds of complex diseases. However, these identified variants only explain a small fraction of inheritable variability in many diseases, suggesting that other resources, such as multilevel genetic… (More)
Cytoplasm contains important metabolism reaction organelles such as mitochondria and chloroplast (in plant). In particular, mitochondria contains special DNA information which can be passed to offsprings through maternal gametes, and has been confirmed to play a pivotal role in nuclear activities. Experimental evidences have documented the importance of… (More)
Allelic specific expression (ASE) increases our understanding of the genetic control of gene expression and its links to phenotypic variation. ASE testing is implemented through binomial or beta-binomial tests of sequence read counts of alternative alleles at a cSNP of interest in heterozygous individuals. This requires prior ascertainment of the cSNP… (More)
The genetic basis of blood pressure often involves multiple genetic factors and their interactions with environmental factors. Gene-environment interaction is assumed to play an important role in determining individual blood pressure variability. Older people are more prone to high blood pressure than younger ones and the risk may not display a linear trend… (More)
The supplement provides the proofs of Lemmas 1-8 and Theorems 1-3, which are omitted in the original paper. More simulation studies based on Gamma distribution are demonstrated to compare the powers of six tests.
We consider testing for two-sample means of high dimensional populations by thresh-olding. Two tests are investigated, which are designed for better power performance when the two population mean vectors differ only in sparsely populated coordinates. The first test is constructed by carrying out thresholding to remove the non-signal bearing dimensions. The… (More)
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Gene-environment (G×E) interaction plays a pivotal role in understanding the genetic basis of complex disease. When environment factors are measured in a continuous scale, one can assess the genetic sensitivity over different environmental conditions on a disease phenotype. Motivated by the increasing awareness of the power of gene set based association… (More)