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2015 ; 16
(ä): 301
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Statistical significance approximation in local trend analysis of high-throughput
time-series data using the theory of Markov chains
#MMPMID26390921
Xia LC
; Ai D
; Cram JA
; Liang X
; Fuhrman JA
; Sun F
BMC Bioinformatics
2015[Sep]; 16
(ä): 301
PMID26390921
show ga
BACKGROUND: Local trend (i.e. shape) analysis of time series data reveals
co-changing patterns in dynamics of biological systems. However, slow permutation
procedures to evaluate the statistical significance of local trend scores have
limited its applications to high-throughput time series data analysis, e.g., data
from the next generation sequencing technology based studies. RESULTS: By
extending the theories for the tail probability of the range of sum of Markovian
random variables, we propose formulae for approximating the statistical
significance of local trend scores. Using simulations and real data, we show that
the approximate p-value is close to that obtained using a large number of
permutations (starting at time points >20 with no delay and >30 with delay of at
most three time steps) in that the non-zero decimals of the p-values obtained by
the approximation and the permutations are mostly the same when the approximate
p-value is less than 0.05. In addition, the approximate p-value is slightly
larger than that based on permutations making hypothesis testing based on the
approximate p-value conservative. The approximation enables efficient calculation
of p-values for pairwise local trend analysis, making large scale all-versus-all
comparisons possible. We also propose a hybrid approach by integrating the
approximation and permutations to obtain accurate p-values for significantly
associated pairs. We further demonstrate its use with the analysis of the
Polymouth Marine Laboratory (PML) microbial community time series from
high-throughput sequencing data and found interesting organism co-occurrence
dynamic patterns. AVAILABILITY: The software tool is integrated into the eLSA
software package that now provides accelerated local trend and similarity
analysis pipelines for time series data. The package is freely available from the
eLSA website: http://bitbucket.org/charade/elsa.