Chunk #53 — Materials and Methods — Statistical inference — Hypothesis testing of annotation enrichment and pleiotropy

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GPA: a statistical approach to prioritizing GWAS results by integrating pleiotropy and annotation.

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For joint analysis of two GWAS with annotation data, test (13) becomes (14)Under the null, the test statistic asymptotically follows a distribution with . Similarly, the test of annotation enrichment can be extended to handle GWAS. In this case, the test statistic asymptotically follows distribution with under the null.