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Concordant pair information


In statistics, a concordant pair is a pair of observations, each on two variables, (X1,Y1) and (X2,Y2), having the property that

where "sgn" refers to whether a number is positive, zero, or negative (its sign). Specifically, the signum function, often represented as sgn, is defined as:

That is, in a concordant pair, both elements of one pair are either greater than, equal to, or less than the corresponding elements of the other pair.

In contrast, a discordant pair is a pair of two-variable observations such that

That is, if one pair contains a higher value of X then the other pair contains a higher value of Y.

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Concordant pair

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In statistics, a concordant pair is a pair of observations, each on two variables, (X1,Y1) and (X2,Y2), having the property that sgn ⁡ ( X 2 − X 1 )  ...

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Concordance

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Bible Concordant coastline, in geology, where beds, or layers, of differing rock types form ridges that run parallel to the coast Concordant pair, in statistics...

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Kendall rank correlation coefficient

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as: τ = ( number of concordant pairs ) − ( number of discordant pairs ) ( number of pairs ) = 1 − 2 ( number of discordant pairs ) ( n 2 ) . {\displaystyle...

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Pair bond

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In biology, a pair bond is the strong affinity that develops in some species between a mating pair, often leading to the production and rearing of young...

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Rank correlation

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of concordant pairs ) − ( number of discordant pairs ) ) n ( n − 1 ) = Kendall's  τ {\displaystyle \Gamma ={\frac {2\,(({\text{number of concordant...

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Twin study

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is defined as C/(C+D), where C is the number of concordant pairs and D is the number of discordant pairs. For example, a group of 10 twins have been pre-selected...

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List of statistics articles

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collection Concomitant (statistics) Concordance correlation coefficient Concordant pair Concrete illustration of the central limit theorem Concurrent validity...

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Odds ratio

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assume that ψ {\displaystyle \psi } is constant across strata. Now concordant pairs in which either both the case and the control are exposed, or neither...

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Ranking SVM

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{\displaystyle P} is the number of concordant pairs and Q {\displaystyle Q} is the number of discordant pairs (inversions). A pair d i {\displaystyle d_{i}} and...

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Volcanic and igneous plumbing systems

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strata-concordant sills, transgressive sills, step-wise transgressive sills, saucer-shaped sills, V-shaped sills, and hybrid sills. Strata-concordant sills...

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Causes of gender incongruence

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past-published reports, 20% of all male and female monozygotic twin pairs were found concordant for transsexual identity... The responses of our twins relative...

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Tutankhamun

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and the analysis produced differing probability figures despite having concordant allele results. Because the relationships of these two mummies with the...

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Ungulate

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Christine M.; Sahney, Sarda; Benton, Michael J. (2012). "Grit not grass: Concordant patterns of early origin of hypsodonty in Great Plains ungulates and Glires"...

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Marrella

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have previously interpreted as external evidence for iridescence, are concordant with the dimensions of microvilli and represent internal rather than external...

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Gender dysphoria

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past-published reports, 20% of all male and female monozygotic twin pairs were found concordant for transsexual identity... The responses of our twins relative...

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Natural arch

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When these arches eventually collapse, they form stacks and stumps. On concordant coastlines rock types run parallel to the coastline, with weak rock such...

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Bruce Lee

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emotions and a stage in his life collectively. Many forms of art remain concordant with the artist creating them. Lee's principle of self-expression was...

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Limited English proficiency

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is mounting evidence that patients need to communicate with a language concordant physician (not simply an interpreter) to receive the best medical care...

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Geologic record

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identification criteria with that of the geologic time scale. This gives the pairing between the physical layers of the left column and the time units of the...

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Cognition

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Mattingley JB (June 2021). "Joint control of visually guided actions involves concordant increases in behavioural and neural coupling". Communications Biology...

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Reduced representation bisulfite sequencing

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developmental biology. Results compared between RRBS and MethylC-seq are highly concordant with one another. Naturally, MethylC-seq has a greater genome-wide coverage...

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Consonance and dissonance

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(c. 900 CE), who writes: "Consonance (consonantia) is the measured and concordant blending (rata et concordabilis permixtio) of two sounds, which will come...

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Glossary of Principia Mathematica

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compact if whenever xRz there is a y with xRy and yRz concordant A set of real numbers is called concordant if all nonzero members have the same sign connected...

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Child development

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Mattingley JB (June 2021). "Joint control of visually guided actions involves concordant increases in behavioural and neural coupling". Communications Biology...

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