scholarly journals ON THE PERMUTATION DISTRIBUTION OF THE RANK PRODUCT-MOMENT STATISTIC

1992 ◽  
Vol 5 (1) ◽  
pp. 51-63 ◽  
Author(s):  
Osamu Sugano ◽  
Shingo Watadani
FEBS Letters ◽  
2016 ◽  
Vol 590 (11) ◽  
pp. 1586-1591 ◽  
Author(s):  
James A. Koziol
Keyword(s):  

2009 ◽  
Vol 61 (3) ◽  
pp. 885-919 ◽  
Author(s):  
Boo Rim CHOE ◽  
Hyungwoon KOO ◽  
Kyesook NAM

1991 ◽  
Vol 7 (2) ◽  
pp. 253-263 ◽  
Author(s):  
Jean-Marie Dufour ◽  
Marc Hallin

This paper gives simple nonuniform bounds on the tail areas of the permutation distribution of the usual Student's t-statistic when the observations are independent with symmetric distributions. As opposed to uniform bounds, nonuniform bounds depend on the observed sample. It is shown that the nonuniform bounds proposed are always tighter than uniform exponential bounds previously suggested. The use of the bounds to perform nonparametric t-tests is discussed and numerical examples are presented. Further, the bounds are extended to t-tests in the context of a simple linear regression.


2010 ◽  
Vol 44-47 ◽  
pp. 905-909
Author(s):  
Yuan Tian ◽  
Gui Xia Liu ◽  
Chun Guang Zhou

One of the main purposes in analysis of microarray experiments is to identify differentially expressed genes under two experimental conditions. The Meta-analysis method, rank product meta-analysis approach, considered a powerful tool for identification of differentially expressed genes. However, rank product meta-analysis approach used the each dataset in the computation of the fold changes, which leaded to less computational efficiency. Here we modified the rank product meta-analysis approach to obtain an improved model for identifying different gene expression. The new model, grouping rank product approach, adds competitive classification of samples to group datasets before the computation of the fold changes. We used the grouping rank product approach on two simulated datasets and two breast datasets and showed that the grouping rank product approach is not only as accurate as the rank product meta-analysis approach, but also more computational efficient in identifying differentially expressed genes.


FEBS Letters ◽  
2010 ◽  
Vol 584 (21) ◽  
pp. 4481-4484 ◽  
Author(s):  
James A. Koziol

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