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Corrigendum for Bauman et al., Genetics 180 (3) 1743-1761.

Genetics, Vol. 182, 411, May 2009, Copyright © 2009

CORRIGENDUM

In the article by L. E. BAUMAN, J. S. SINSHEIMER, E. M. SOBEL and K. LANGE (GENETICS 180: 1743–1761) entitled "Mixed Effects Models for Quantitative Trait Loci Mapping With Inbred Strains," recurrence (7) describing the calculation of the strain coefficient matrix for an individual with itself should read

Formula
where diag({gamma}) denotes a diagonal matrix whose diagonal entries coincide with the entries of the vector {gamma} and k and l are the parents of i.

In APPENDIX B, recurrence (B3) should read

Formula

Proposition 1e should read

PROPOSITION 1. In addition to satisfying the recurrences (B1), (B2), and (B3), the matrix Cij

e. has entries Cij(m, n) confined to the interval Formula for n != m and to the interval Formula for n = m.

In the next paragraph, the constant aij for s = 2 strains should satisfy Formula. Furthermore, for the assertion since {alpha}ij = 0 whenever i or j is a founder or an F1 individual, straightforward recursive arguments show that within any strictly linear mating designs like Fn, {alpha}ij = 0 for all i != j is not true.

Finally, in Proposition 2 the bound on the coefficients aij,mn is slightly changed. The coefficients aij,mn are nonnegative dyadic rationals satisfying

Formula

The proofs for Proposition 1e and for Proposition 2 remain essentially the same, as do all numerical examples.