Relationship Between MiRKAT and Coefficient of Determination in Similarity Matrix Regression

Relationship Between MiRKAT and Coefficient of Determination in Similarity Matrix Regression

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...

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Bibliographic Details
Main Author: Xiang Zhan
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Processes
Subjects:
fraction of variance explained
MiRKAT
microbiome association analysis
coefficient of determination <i>R</i><sup>2</sup>
similarity matrix regression
Online Access:https://www.mdpi.com/2227-9717/7/2/79
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spelling doaj-3460cbcc3d834c57978c24d6c156eeb52020-11-25T02:45:50ZengMDPI AGProcesses2227-97172019-02-01727910.3390/pr7020079pr7020079Relationship Between MiRKAT and Coefficient of Determination in Similarity Matrix RegressionXiang Zhan0Department of Public Health Sciences, Pennsylvania State University, Hershey, PA 17033, USAThe 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 <inline-formula> <math display="inline"> <semantics> <msup> <mi>R</mi> <mn>2</mn> </msup> </semantics> </math> </inline-formula> (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).https://www.mdpi.com/2227-9717/7/2/79fraction of variance explainedMiRKATmicrobiome association analysiscoefficient of determination <i>R</i><sup>2</sup>similarity matrix regression
collection DOAJ
language English
format Article
sources DOAJ
author Xiang Zhan
spellingShingle Xiang Zhan
Relationship Between MiRKAT and Coefficient of Determination in Similarity Matrix Regression
Processes
fraction of variance explained
MiRKAT
microbiome association analysis
coefficient of determination <i>R</i><sup>2</sup>
similarity matrix regression
author_facet Xiang Zhan
author_sort Xiang Zhan
title Relationship Between MiRKAT and Coefficient of Determination in Similarity Matrix Regression
title_short Relationship Between MiRKAT and Coefficient of Determination in Similarity Matrix Regression
title_full Relationship Between MiRKAT and Coefficient of Determination in Similarity Matrix Regression
title_fullStr Relationship Between MiRKAT and Coefficient of Determination in Similarity Matrix Regression
title_full_unstemmed Relationship Between MiRKAT and Coefficient of Determination in Similarity Matrix Regression
title_sort relationship between mirkat and coefficient of determination in similarity matrix regression
publisher MDPI AG
series Processes
issn 2227-9717
publishDate 2019-02-01
description 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 <inline-formula> <math display="inline"> <semantics> <msup> <mi>R</mi> <mn>2</mn> </msup> </semantics> </math> </inline-formula> (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).
topic fraction of variance explained
MiRKAT
microbiome association analysis
coefficient of determination <i>R</i><sup>2</sup>
similarity matrix regression
url https://www.mdpi.com/2227-9717/7/2/79
work_keys_str_mv AT xiangzhan relationshipbetweenmirkatandcoefficientofdeterminationinsimilaritymatrixregression
_version_ 1724759804356853760

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