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Table 1 Conditional Distributions of Offspring Genotypes for X-linked markers. Table 1 displays the conditional distributions of the offspring genotypes when testing for linkage for markers on the X-chromosome. A dot, ·, indicates a missing parent, and "c. p." denotes "conditional probability".

From: EFBAT: exact family-based association tests

Parents' genotypes

Children's genotypes

Conditional distribution

(AA, ·)

Any

Observed data have c. p. 1.

(AB, ·)

{AB}, {AB, A},

Observed data have c. p. 1

 

{AB, B} or {AB, A, B}

Daughters have c. p. 1; sons assigned A or B with pr. 1/2.

(AB, ·)

{AA}, {AA, AB}, {AA, AB, A}, {AA, AB, B}, or {AA, AB, A, B}

Randomly assign AA and AB with pr. 1/2 to each daughter and A and B to each son with pr. 1/2, discarding outcomes without an AA daughter.

(·, A)

{A}, {AA}, {AA, A}

Observed data have c. p. 1.

(·, A)

{B}, {AB}, or {AB, B}

Observed data have c. p. 1.

(·, A)

{A, B}, {AA, B}, {AB, A}, {AB, A, B}, {A, B, AA},{AA, AB}, {AA, AB, A}, or {A, B, AA, AB}

Randomly assign AA and AB to daughters with pr. 1/2 and A and B to sons with pr. 1/2, discarding outcomes without at least one AA daughter or A son and at least one child with a B allele.

(·, ·)

{A}, {AA}, or {AA, A}

Observed data have c. p. 1.

(·, ·)

{AB} or {AB, A}

Observed data have c. p. 1.

(·, ·)

{AA, B}, {AA, A, B}, {AA, AB}, {AA, AB, A}, {AA, AB, B}, or {AA, AB, A, B}

Randomly assign AA and AB to daughters with pr. 1/2 and A and B to sons with pr. 1/2, discarding outcomes without at least one AA daughter or A son and at least one child with a B allele.

(·, ·)

{A, B} or {AB, A, B}

Daughters have c. p. 1; randomly assign A and B to each son with pr. 1/2, discarding outcomes without at least one A and one B son.