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Processes 2019, 7(2), 79; https://doi.org/10.3390/pr7020079

Relationship Between MiRKAT and Coefficient of Determination in Similarity Matrix Regression

Department of Public Health Sciences, Pennsylvania State University, Hershey, PA 17033, USA
Received: 30 December 2018 / Revised: 30 January 2019 / Accepted: 3 February 2019 / Published: 6 February 2019
(This article belongs to the Special Issue Microbial Communities in Health and Disease)
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Abstract

The Microbiome Regression-based Kernel Association Test (MiRKAT) is widely used in testing for the association between microbiome compositions and an outcome of interest. The MiRKAT statistic is derived as a variance-component score test in a kernel machine regression-based generalized linear mixed model. In this brief report, we show that the MiRKAT statistic is proportional to the R 2 (coefficient of determination) statistic in a similarity matrix regression, which characterizes the fraction of variability in outcome similarity, explained by microbiome similarity (up to a constant). View Full-Text
Keywords: fraction of variance explained; MiRKAT; microbiome association analysis; coefficient of determination R2; similarity matrix regression fraction of variance explained; MiRKAT; microbiome association analysis; coefficient of determination R2; similarity matrix regression
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Zhan, X. Relationship Between MiRKAT and Coefficient of Determination in Similarity Matrix Regression. Processes 2019, 7, 79.

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