Kendall’s tau-type rank statistics in genome data

Kang, Moonsu; Sen, Pranab Kumar

doi:10.1007/s10492-008-0005-1

Cited by 11 publications

(6 citation statements)

References 18 publications

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“…This analysis works especially well when normality and linearity cannot be assumed (Kang & Sen, 2008). Thus, the association between precipitation change and nomadic migration is first examined via Kendall correlation analysis.…”

Section: Nonparametric Analysismentioning

confidence: 99%

Regional patterns of pastoralist migrations under the push of reduced precipitation in imperial China

Pei

Li²,

Winterhalder

et al. 2019

Global Ecol Biogeogr

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Aim: As a response of pastoralists to climate change, nomadic migration deeply shaped Chinese history during the imperial era. Existing research on climate-driven nomadic migration is conducted mainly on a national-continental scale. To advance the current work, we aim to resolve migratory movements at a provincial-regional scale using a large and long-term historical dataset as a first attempt. The spatiotemporal features of nomadic migration under climatic effects, specifically precipitation, are analysed in the theoretical context of behavioural ecology. Location: China.Time: Imperial era (220 BC-1910 AD). Study subject: Nomadic pastoralist minorities in imperial China.Methods: We frame the analysis using an ideal free distribution model. A total of 1,842 historical location records of pastoralist immigration are empirically examined.Precipitation anomalies and nomadic migration are statistically assessed with nonparametric and Poisson regression methods, and temporal interdependencies among provincial-regional migratory movements are explored with a vector autoregressive model. Results:We divide imperial China into six regions according to statistical results and geographic factors. Overall, decreased precipitation and drought provoked pastoralist migrations in a north-to-south direction. Northern nomads, with an apparent preference for central China as a major destination, triggered the most conflicts with resident agriculturalists. Nomads originating from the Tibetan minority regions moved north-eastward into Qinghai Province as their main destination.Main conclusions: Long-term regional patterns of pastoralist migration are closely associated with drought-induced ecological change in imperial China. Climate-driven dynamics assessed with long-term historical data facilitate the understanding of climate-ecology-society interactions in behavioural ecology and macroecology.Moreover, findings from imperial China may imply that cultural acceptance and communications could avoid conflicts between immigrants and original residents when facing mass migration, an issue of growing contemporary urgency in many parts of the world. K E Y W O R D SChinese history, climate change, decreased rainfall, ideal free distribution, redistribution, spatio-temporal pattern

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Section: Nonparametric Analysismentioning

confidence: 99%

Regional patterns of pastoralist migrations under the push of reduced precipitation in imperial China

Pei

Li²,

Winterhalder

et al. 2019

Global Ecol Biogeogr

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“…Under the alternative hypothesis, the distribution is tilted to the right (Odeh, 1972;Silvapulle and Sen, 2004). and is why we use a right-sided test (Kang and Sen, 2008;Sen, 2008Sen, , 2006. However, though the distribution freeness holds under the null hypothesis, such distributions are more complex to evaluate.…”

Section: Proposed Test Statistics and P P P-valuesmentioning

confidence: 99%

“…This law may not be reasonable because of this problem. That is why the standard multivariate approach may be of limited utility (Kang and Sen, 2008;Sen, 2008Sen, , 2006. Thus, instead of modelling the multivariate approach to include many positions (or predictors), we approach each position separately and test thousands of positions using a FDR procedure with appropriate test statistics for each position.…”

Section: Introductionmentioning

confidence: 99%

Multiple Testing in Genomic Sequences Using Hamming Distance

Kang¹

2012

Communications for Statistical Applications and Methods

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High-dimensional categorical data models with small sample sizes have not been used extensively in genomic sequences that involve count (or discrete) or purely qualitative responses. A basic task is to identify differentially expressed genes (or positions) among a number of genes. It requires an appropriate test statistics and a corresponding multiple testing procedure so that a multivariate analysis of variance should not be feasible. A family wise error rate(FWER) is not appropriate to test thousands of genes simultaneously in a multiple testing procedure. False discovery rate(FDR) is better than FWER in multiple testing problems. The data from the 2002-2003 SARS epidemic shows that a conventional FDR procedure and a proposed test statistic based on a pseudo-marginal approach with Hamming distance performs better.

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“…In addition, Kendall’s τ has been extended to assessing association in genome data (Kang and Sen, 2008; Zhang et al 2010). …”

Section: Introductionmentioning

confidence: 99%

On inference for Kendall's τ within a longitudinal data setting

2012

Journal of Applied Statistics

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Summary Kendall’s τ is a non-parametric measure of correlation based on ranks and is used in a wide range of research disciplines. Although methods are available for making inference about Kendall’s τ, none has been extended to modeling multiple Kendall’s τs arising in longitudinal data analysis. Compounding this problem is the pervasive issue of missing data in such study designs. In this paper, we develop a novel approach to provide inference about Kendall’s τ within a longitudinal study setting under both complete and missing data. The proposed approach is illustrated with simulated data and applied to an HIV prevention study.

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Kendall’s tau-type rank statistics in genome data

Cited by 11 publications

References 18 publications

Regional patterns of pastoralist migrations under the push of reduced precipitation in imperial China

Regional patterns of pastoralist migrations under the push of reduced precipitation in imperial China

Multiple Testing in Genomic Sequences Using Hamming Distance

On inference for Kendall's τ within a longitudinal data setting

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