LD R-Squared

Compute squared linkage disequilibrium r2 = D^2 / (p(A) * (1 - p(A)) * p(B) * (1 - p(B))).

Description

Compute squared linkage disequilibrium r2 = D^2 / (p(A) * (1 - p(A)) * p(B) * (1 - p(B))).

LD R-Squared is a focused biology tool that compute squared linkage disequilibrium r2 = D^2 / (p(A) * (1 - p(A)) * p(B) * (1 - p(B))). It calculates locally from the values you enter and exposes the result without changing the source observations.1

When to use LD R-Squared

Use LD R-Squared when you need to compute squared linkage disequilibrium r2 = D^2 / (p(A) * (1 - p(A)) * p(B) * (1 - p(B))). Enter LD coefficient D, Allele A frequency, and Allele B frequency using the definitions and units below so the result can be reproduced.

LD coefficient D
A finite measured or assumed value.
Allele A frequency
A finite measured or assumed value from 0 through 1.
Allele B frequency
A finite measured or assumed value from 0 through 1.

How LD R-Squared calculates the result

The published tool contract uses this rule: Compute squared linkage disequilibrium r2 = D^2 / (p(A) * (1 - p(A)) * p(B) * (1 - p(B))).

r-squared
The calculated r-squared.

Limitations of LD R-Squared

The calculation does not propagate measurement uncertainty, sampling error, or biological and chemical variability. Allele A frequency must remain between 0 and 1; Allele B frequency must remain between 0 and 1.

Alternative or Complementary measurements

Retain the original LD coefficient D, Allele A frequency, and Allele B frequency values and their units alongside the result. LD Coefficient D is useful when you instead need to compute linkage disequilibrium coefficient D = f(AB) - p(A) * p(B); the signed result may be negative. Allele Count Total provides another view by helping you count total allele copies at a diploid locus as twice the number of individuals.

References

  1. Linkage disequilibrium — Wikipedia contributors

Similar or alternative tools

  • LD Coefficient D

    Compute linkage disequilibrium coefficient D = f(AB) - p(A) * p(B); the signed result may be negative.

  • Allele Count Total

    Count total allele copies at a diploid locus as twice the number of individuals.

  • Allele Freq From Counts

    Compute allele A frequency p = (2*AA + AB) / (2*(AA + AB + BB)) from genotype counts.

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