Generalized fiducial methods for testing quantitative trait locus effects in genetic backcross studies

Pengcheng Ren, Guanfu Liu, Xiaolong Pu and Yan Li

Statistical Theory and Related Fields, 2022, vol. 6, issue 2, 148-160

Abstract: In this paper, we propose generalized fiducial methods and construct four generalized p-values to test the existence of quantitative trait locus effects under phenotype distributions from a location-scale family. Compared with the likelihood ratio test based on simulation studies, our methods perform better at controlling type I errors while retaining comparable power in cases with small or moderate sample sizes. The four generalized fiducial methods support varied scenarios: two of them are more aggressive and powerful, whereas the other two appear more conservative and robust. A real data example involving mouse blood pressure is used to illustrate our proposed methods.

Date: 2022
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DOI: 10.1080/24754269.2021.1984636

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