Logarithm of odds (lods) for linkage in complex inheritance

Lod scores provide a method to unify linkage tests based on identity by descent and identity in marker state while permitting selection of the most informative individuals through their disease-related phenotypes and markers in relatives. After parametric lods are reviewed, a nonparametric approach that depends on a single logistic parameter beta is introduced. Lods for parents tested or unknown are derived, multiple pairwise mapping is presented, and power is shown to be good even for moderately small values of beta. Comparison of parametric and nonparametric approaches (yet to be made) will provide for polygenes the efficiency and reliability that lod scores gave to mapping of major loci 40 years ago.