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Everything about Collinearity
Property of points all lying on a single line
In geometry, collinearity of a set of points is the property of their lying on a single line. A set of points with this property is said to be collinear. In greater generality, the term has been used for aligned objects, that is, things being "in a line" or "in a row". Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: CollinearityA 5-minute orientation
- Skim a recent paper: Extraordinary preservation of gene collinearity over three hundred million years revealed in homosporous lycophytesInfluential work since 2022
- Pick up a classic book: Introduction to Vectors YouTube classes with Dr Chris TisdellThe most-reprinted book on the subject
- Read the landmark paper: Collinearity: a review of methods to deal with it and a simulation study evaluating their performanceCited 10,028 times
- Go sideways: Concurrent linesA closely related topic
- Go sideways: Euler lineA closely related topic
📖 Definitions
Noun The condition of being collinear.
Noun The extent to which something is collinear.
Noun The relationship between the linear sequence of codons in DNA and that of amino acids in the protein so coded
🏆 Landmark papers (most cited)
Collinearity: a review of methods to deal with it and a simulation study evaluating their performance
MCScanX: a toolkit for detection and evolutionary analysis of gene synteny and collinearity
Lateral Collinearity and Misleading Results in Variance-Based SEM: An Illustration and Recommendations
The Collinearity Problem in Linear Regression. The Partial Least Squares (PLS) Approach to Generalized Inverses
Generalized Collinearity Diagnostics
Synteny and Collinearity in Plant Genomes
Confounding and collinearity in regression analysis: a cautionary tale and an alternative procedure, illustrated by studies of British voting behaviour
Collinearity, Power, and Interpretation of Multiple Regression Analysis
🆕 Influential since 2022
Extraordinary preservation of gene collinearity over three hundred million years revealed in homosporous lycophytes
Numerical back analysis method of three-dimensional in situ stress fields considering complex surface topography and variable collinearity
Collinearity and Dimensionality Reduction in Radiomics: Effect of Preprocessing Parameters in Hypertrophic Cardiomyopathy Magnetic Resonance T1 and T2 Mapping
40 years of the homeobox: mechanisms of Hox spatial-temporal collinearity in vertebrates
Assessing moderator effects, main effects, and simple effects without collinearity problems in moderated regression models
📚 Books worth reading
Introduction to Vectors YouTube classes with Dr Chris TisdellChristopher C. Tisdell · 2013
Collinear HolographyXiaodi Tan · 2021
Regression diagnosticsDavid A. Belsley, Edwin Kuh · 2004
Dynamics and mission design near libration pointsAngel Jorba, Carles Simo · 2001- 📕Dynamics and Mission Design near Libration PointsG. Gomez, J. Llibre · 2001
- 📕Introduction to Soft-Collinear Effective TheoryThomas Becher, Alessandro Broggio · 2015
- 📕Collinear Resonance Ionization Spectroscopy of Neutron-Rich Indium IsotopesAdam Robert Vernon · 2020
Regression diagnosticsDavid A. Belsley · 1980
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Concurrent lines In geometry, lines in a plane or higher-dimensional space are concurrent if they intersect at a single point. The set of all lines through a point is called…
- Euler line In geometry, the Euler line, named after Leonhard Euler (/ˈɔɪlər/ OY-lər), is a line determined from any triangle that is not equilateral. It is a central…
- Bisection In geometry, bisection is the division of something into two equal or congruent parts (having the same shape and size). Usually it involves a bisecting…
- Triangle A triangle or trigon is a polygon consisting of three sides connected at three corners. It is one of the basic shapes in geometry and the simplest of polygons…
- Midpoint In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and…
- Circumcircle In geometry, the circumscribed circle or circumcircle of a triangle is a circle that passes through all three vertices. The center of this circle is called…
- Nine-point center In geometry, the nine-point center is a triangle center, a point defined from a given triangle in a way that does not depend on the placement or scale…
- Incenter In geometry, the incenter of a triangle is a triangle center, a point defined for any triangle in a way that is independent of the triangle's placement…