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. 2021 Apr 23;13:68. doi: 10.1186/s13073-021-00864-4

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© The Author(s) 2021

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated in a credit line to the data.

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Fig. 7 — Results on Alzheimer’s disease. a Genes differentially expressed or aberration enriched in Alzheimer versus healthy controls, discovered using our test versus Limma. The genes that have FDR≤0.1 for either method are plotted. Gene names are added for all the significant genes by our method and the top 10 heterogeneous associations (r≤0.3). Red lines correspond to the Bonferroni significance threshold. b Distribution of expression levels in cases and controls for the gene CRBN discovered by our test. c QQ plot of the p values returned by our test on the Alzheimer data. d QQ plot of the p values returned by our test after randomly permuting the samples