Log-linear analysis of contingency tables is applied to trihybrid backcross data to estimate linkage and viability. Whereas nonadditive viability differences perturb recombination estimates in the classical analysis, this statistical procedure yields maximum likelihood crossover frequency estimates in the presence of multiplicative viability effects. Other advantages of this method include: (1) estimation of viability effects of gene substitution at each locus, (2) estimation of asymptotic confidence intervals on recombination frequencies and viabilities, and (3) it tests the null hypothesis of no interference and no viability interactions. Extensions to cover more loci and to allow certain kinds of epistasis are easily made. Relative merits of the proposed and classical methods are discussed.
- Received December 20, 1980.