The Statistical Analysis of Compositional Data

Aitchison, J.

doi:10.1007/978-94-009-4109-0

Cited by 3,016 publications

(2,057 citation statements)

References 0 publications

Supporting

Mentioning

1,980

Contrasting

Unclassified

Order By: Relevance

“…Second, we detail the plot of the proportions of the IBS counts (Rosenberg, 2006). To conclude this section, graphics from CoDA (Aitchison, 1986; Pawlowsky-Glahn and Buccianti, 2011) are presented.…”

Section: Ibs Studiesmentioning

confidence: 99%

“…Aitchison (1986) stated that it is not meaningful to interpret the distances between two vectors of proportions in the ternary diagram as if we were in an Euclidean space. Aitchison (1986) defines a new distance based on the log-ratio of the components of the vectors of proportions.…”

Section: Ibs Studiesmentioning

confidence: 99%

“…Aitchison (1986) defines a new distance based on the log-ratio of the components of the vectors of proportions. This distance, jointly with the perturbation and powering operators (analogous to translation and scalar multiplication in the real space, respectively), forms the structure of the simplex in a two-dimensional metric space (Aitchison et al, 2000; Pawlowsky-Glahn and Buccianti, 2011).…”

Section: Ibs Studiesmentioning

confidence: 99%

“…In addition to the former graphical methods, we propose to use graphics from compositional data analysis (CoDA) for both IBS and IBD allele sharing studies. Due to the fact that the proportions ( p 0 , p 1 , p 2 ) and the probabilities ( k 0 , k 1 , k 2 ) are constrained to sum to one, it is possible to apply all the graphical and analytical CoDA techniques introduced by Aitchison (1986) and developed posteriorly by Pawlowsky-Glahn and Buccianti (2011). Two graphics, commonly used in CoDA, are of particular relevance for relatedness studies: the ternary diagram (also known as a de Finetti diagram in genetics) and a scatterplot of log-ratios.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Graphics for relatedness research

Galván-Femenía

Graffelman

Barcelo-i-Vidal

2017

Molecular Ecology Resources

View full text Add to dashboard Cite

Studies of relatedness have been crucial in molecular ecology over the last decades. Good evidence of this is the fact that studies of population structure, evolution of social behaviours, genetic diversity and quantitative genetics all involve relatedness research. The main aim of this article is to review the most common graphical methods used in allele sharing studies for detecting and identifying family relationships. Both IBS and IBD based allele sharing studies are considered. Furthermore, we propose two additional graphical methods from the field of compositional data analysis: the ternary diagram and scatterplots of isometric log-ratios of IBS and IBD probabilities. We illustrate all graphical tools with genetic data from the HGDP-CEPH diversity panel, using mainly 377 microsatellites genotyped for 25 individuals from the Maya population of this panel. We enhance all graphics with convex hulls obtained by simulation and use these to confirm the documented relationships. The proposed compositional graphics are shown to be useful in relatedness research, as they also single out the most prominent related pairs. The ternary diagram is advocated for its ability to display all three allele sharing probabilities simultaneously. The log-ratio plots are advocated as an attempt to overcome the problems with the Euclidean distance interpretation in the classical graphics.

show abstract

Section: Ibs Studiesmentioning

confidence: 99%

Section: Ibs Studiesmentioning

confidence: 99%

Section: Ibs Studiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Graphics for relatedness research

Galván-Femenía

Graffelman

Barcelo-i-Vidal

2017

Molecular Ecology Resources

View full text Add to dashboard Cite

show abstract

“…For instance, correlations observed for the normalised data do not necessarily reflect "within-person" correla tions in the raw data (Ford, 1986). Aitchison (1986) discussed related problems in other scientific disci plines.…”

Section: Preprocessing Normalisationmentioning

confidence: 99%

Statistical Issues in the Analysis of Neuroimages

Ford¹,

McColl²,

McCormack³

et al. 1991

J Cereb Blood Flow Metab

View full text Add to dashboard Cite

show abstract

Hippocampal Volume in Patients With Alcohol Dependence

Agartz¹,

Momenan²,

Rawlings³

et al. 1999

Arch Gen Psychiatry

324

185

View full text Add to dashboard Cite

Background: Smaller hippocampal volumes have been reported in the brains of alcoholic patients than in those of healthy subjects, although it is unclear if the hippocampus is disproportionally smaller than the brain as a whole. There is evidence that alcoholic women are more susceptible than alcoholic men to liver and cardiac damage from alcohol. It is not known whether the hippocampi of the female brain are more vulnerable to alcohol.

show abstract

The Statistical Analysis of Compositional Data

Cited by 3,016 publications

References 0 publications

Graphics for relatedness research

Graphics for relatedness research

Statistical Issues in the Analysis of Neuroimages

Hippocampal Volume in Patients With Alcohol Dependence

Contact Info

Product

Resources

About