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How do you calculate r2 using the D statistic and allele frequencies?

Biology

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Answer

r2≈0.0476r^2 \approx 0.0476

Step-by-step solution

3 steps

To calculate r2r^2 for the example provided in the lecture notes:

  1. Identify the D statistic and allele frequencies from the provided example.

    From the "Example" section of the notes:

    • The D statistic is given as D=0.04D = 0.04.
    • The calculated allele frequencies are:
      • P(A1)=0.7P(A1) = 0.7
      • P(A2)=0.3P(A2) = 0.3
      • P(B1)=0.8P(B1) = 0.8
      • P(B2)=0.2P(B2) = 0.2
  2. Use the formula for r^2.

    The formula for r2r^2 is:

    r2=D2P(A1)P(A2)P(B1)P(B2)r^2 = \frac{D^2}{P(A1)P(A2)P(B1)P(B2)}
  3. Substitute the values and calculate r^2.

    r2=(0.04)2(0.7)(0.3)(0.8)(0.2)r^2 = \frac{(0.04)^2}{(0.7)(0.3)(0.8)(0.2)} r2=0.0016(0.21)(0.16)r^2 = \frac{0.0016}{(0.21)(0.16)} r2=0.00160.0336r^2 = \frac{0.0016}{0.0336} r2≈0.047619r^2 \approx 0.047619

    Rounding to four decimal places:

    r2≈0.0476r^2 \approx 0.0476
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