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Compositional data: Art & Measurement

In statistics, compositional data are quantitative descriptions of the parts of some whole, conveying relative information. Mathematically, compositional data is represented by points on a simplex. Measurements involving probabilities, proportions, percentages, and ppm can all be thought of as compositional data.

Language: English [EN]
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Compositional data topic overview

The analysis highlights Art and Measurement as prominent areas in the source structure around Compositional data.

Related topics
30
Source areas
6
Connected nodes
36
Extracted relationships
19
Related term clusters
12
Bridge connections
36

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Examples · 9 topics
Linear transformations · 6 topics
Aitchison geometry · 5 topics
Ternary plot · 5 topics
Overview · 4 topics
Simplicial sample space · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

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Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Ternary plot

Simplicial sample space

Aitchison geometry

Linear transformations

Examples

For the semantics nerds

You can skip this section if you’re here for content ideas and keyword inspiration.

Advanced semantic analysis

How Compositional data connects Entity context

The extracted context around Compositional data shows recurring relationship patterns in the source. For example, Compositional data → Christians, DNA, Jews, Muslims, RNA Another extracted example is Compositional data → Chebyshev's, Letting, Poisson, Similarly. Use these groups to spot repeated connection types before inspecting the individual relationships.

Compositional data

Top relations

related to Examples · 5
Compositional data → Christians, DNA, Jews, Muslims, RNA
related to The problem of noise · 4
Compositional data → Chebyshev's, Letting, Poisson, Similarly
related to Simplicial sample space · 2
Compositional data → John Aitchison, Therefore
is a · 1
Compositional data → simplex
related to Ternary plot · 1
Compositional data → Compositional

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

data displaystyle compositional odds space ratio simplex components noise given transform statistics vector sample composition d-1 relative mathbb sum total

Compositional data relationships Subject–Predicate–Object triples

TTTA extracted 19 structured relationships around Compositional data. Examples in this analysis include Compositional data → is a → simplex and questionnaire surveys → instance of → The simpler case is in empirical studies. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Compositional datais asimplex0.90text
questionnaire surveysinstance ofThe simpler case is in empirical studies0.80text
where each respondent's total allocation is fixedinstance ofThe simpler case is in empirical studies0.80text
one must deal solely with the effects of closureinstance ofThe simpler case is in empirical studies0.80text
oddsinstance ofThe simpler case is in empirical studies0.80text
odds ratios serve as invariant statisticsinstance ofThe simpler case is in empirical studies0.80text
pHinstance ofThis transform is commonly used in chemistry with measurements0.80text
Compositional datarelated to ExamplesChristians0.60section
Compositional datarelated to ExamplesMuslims0.60section
Compositional datarelated to ExamplesJews0.60section
Compositional datarelated to ExamplesDNA0.60section
Compositional datarelated to ExamplesRNA0.60section

Related concept clusters Related term clusters

The concept neighborhoods around Compositional data bring nearby vocabulary together. In this analysis, examples include Data, Sample and Components. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Compositional data
    • Data
    • Sample
    • Components
    • Analysis
    • Transformed
    • Whole
    • Ilr
    • Space
    • Mathbb
    • Total
    • Aitchison
    • Displaystyle
  • compositional data
    • Data
    • Sample
    • Components
    • Analysis
    • Space
    • Transformed
    • Would
    • Whole
    • Ilr
    • Mathbb
    • Total
    • Displaystyle
  • data set
    • Sample
    • Space
    • Components
    • Analysis
    • Transformed
    • Would
    • Ilr
    • Mathbb
    • Displaystyle
    • Simplex
    • Real
    • Within
  • simplicial sample space
    • Simplex
    • Would
    • Mathbb
    • Real
    • Displaystyle
    • Within
    • D-1
    • Space
    • Transform
    • Statistics
    • Transformed
    • Given
  • vector space
    • Simplex
    • Mathbb
    • Real
    • Displaystyle
    • Whole
    • D-1
    • Transform
    • Statistics
    • Transformed
    • Within
    • Sum
    • Vector
  • john aitchison
    • Space
    • Simplex
    • Orthonormal
    • Transform
    • Compositional
    • Whole
    • Data
    • Analysis
    • Real
    • Statistics
    • Ilr
    • Log
  • aitchison geometry
    • Space
    • Simplex
    • Orthonormal
    • Transform
    • Compositional
    • Whole
    • Data
    • Analysis
    • Real
    • Statistics
    • Ilr
    • Log
  • inner product space
    • Simplex
    • Mathbb
    • Real
    • Displaystyle
    • D-1
    • Transform
    • Statistics
    • Transformed
    • Within
    • Sum
    • Vector
    • Given

Connections between topic areas Semantic bridges

For Compositional data, one of the stronger structural bridges in this analysis connects Compositional data with Examples. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Compositional data — Examples · splits 27 ⟂ 10
Compositional data — Linear transformations · splits 30 ⟂ 7
Compositional data — Ternary plot · splits 31 ⟂ 6
Compositional data — Aitchison geometry · splits 31 ⟂ 6
Compositional data — Overview · splits 32 ⟂ 5

Map overview Semantic statistics

Compositional data

Nodes37
Edges36
Triples19
Avg. degree1.95
Density0.054054
Components1

Source & methodology

TTTA analyzes the structure around Compositional data to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Art & Measurement, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Compositional data · EN edition · Analysis: TopicsToTalkAbout

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