compositional difference
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2020 ◽  
Vol 21 (S9) ◽  
Author(s):  
Qingyang Zhang ◽  
Thy Dao

Abstract Background Compositional data refer to the data that lie on a simplex, which are common in many scientific domains such as genomics, geology and economics. As the components in a composition must sum to one, traditional tests based on unconstrained data become inappropriate, and new statistical methods are needed to analyze this special type of data. Results In this paper, we consider a general problem of testing for the compositional difference between K populations. Motivated by microbiome and metagenomics studies, where the data are often over-dispersed and high-dimensional, we formulate a well-posed hypothesis from a Bayesian point of view and suggest a nonparametric test based on inter-point distance to evaluate statistical significance. Unlike most existing tests for compositional data, our method does not rely on any data transformation, sparsity assumption or regularity conditions on the covariance matrix, but directly analyzes the compositions. Simulated data and two real data sets on the human microbiome are used to illustrate the promise of our method. Conclusions Our simulation studies and real data applications demonstrate that the proposed test is more sensitive to the compositional difference than the mean-based method, especially when the data are over-dispersed or zero-inflated. The proposed test is easy to implement and computationally efficient, facilitating its application to large-scale datasets.


2019 ◽  
Vol 38 ◽  
pp. 136-146 ◽  
Author(s):  
Mirco Taranto ◽  
Luis Barba ◽  
Jorge Blancas ◽  
Andrea Bloise ◽  
Marco Cappa ◽  
...  

2019 ◽  
Vol 344 ◽  
pp. 363-372 ◽  
Author(s):  
Camila G. Jange ◽  
R.P. Kingsly Ambrose

2016 ◽  
Vol 85 (4) ◽  
pp. 771-777 ◽  
Author(s):  
Vladimir Juras ◽  
Štefan Zbýň ◽  
Vladimir Mlynarik ◽  
Pavol Szomolanyi ◽  
Benedikt Hager ◽  
...  

2016 ◽  
Vol 10 (1) ◽  
Author(s):  
Nazia Asghar ◽  
Syed Ali Raza Naqvi ◽  
Zaib Hussain ◽  
Nasir Rasool ◽  
Zulfiqar Ali Khan ◽  
...  

2006 ◽  
Vol 47 (8) ◽  
pp. 1938-1940 ◽  
Author(s):  
Ken Kurosaki ◽  
Atsuko Kosuga ◽  
Keita Goto ◽  
Hiroaki Muta ◽  
Shinsuke Yamanaka

2002 ◽  
Vol 112 (1) ◽  
pp. 152-155 ◽  
Author(s):  
Myung-Hyun Chung ◽  
Jae Young Choi ◽  
Won-Sang Lee ◽  
Hee-Nam Kim ◽  
Joo-Heon Yoon

1997 ◽  
Vol 764 (1-2) ◽  
pp. 197-204 ◽  
Author(s):  
Takuo Nomura ◽  
Takaichi Fukuda ◽  
Yusuke Aika ◽  
Claus W Heizmann ◽  
Piers C Emson ◽  
...  

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