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xihaoli avatar xihaoli commented on June 29, 2024

Hi Hasan,

Thanks for your question. Indeed, by combining different types of tests into an omnibus test, STAAR-O has a robust power with respect to the sparsity of causal variants and the directionality of effects of causal variants in a variant set, as well as variant multifacet functions and MAFs. Specifically, by including the burden test, STAAR-O is powerful when most variants in a variant set are causal and have effects in the same direction; by including SKAT, STAAR-O is powerful when not a small number of variants in a variant set are causal with effects in different directions, or when variants in a variant set are in high linkage disequilibrium; by including ACAT-V, STAAR-O is powerful when a small number of variants in a variant set are causal or a good number of extremely rare variants are causal; by weighting each type of tests using multiple annotation principal components and other integrative functional scores and qualitative annotations, STAAR-O is powerful when any of these variant functional annotations can pinpoint causal variants and help boost power.

As illustrated in the STAAR publication, there is a one-to-one relationship between the test statistic and its P-value (for example T_{STAAR-O} vs P_{STAAR-O}; T_{STAAR-S} vs P_{STAAR-S}; T_{STAAR-B} vs P_{STAAR-B}; T_{STAAR-A} vs P_{STAAR-A}). Thus, you may look at the P-values of STAAR-S, STAAR-B, and STAAR-A to assess which specific type of tests (SKAT, burden, or ACAT-V) drive the association signal of STAAR-O. Similarly, you may also look at the annotation-specific P-values within STAAR-S, STAAR-B, and STAAR-A to assess which specific annotations (SKAT, burden, or ACAT-V) drive the association signal. The output of the STAAR() function includes P-values weighted by each annotation for each test (manual).

Best,
Xihao

from staar.

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