The peak of the likelihood curve in linkage testing

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Abstract
When z-scores are used for linkage estimation, a maximum z-score of 3 (or maximum antilod score, M = 1000) is good evidence for the presence of linkage. A better formula, applicable if nothing more is known about the loci concerned, would be that the probability that linkage is present is roughly 1-4/m.sigma., where .sigma. is the standard error, i.e., .simeq.(2.3 .times. downward curvature of z curve at peak). A consideration of typical patients suggests that a value M = 1000 would imply a 90% chance of linkage. It would seem simpler to use the formula, probability of linkage .simeq. 1-H/20, where H is the average height of the antilod curve.