Abstract
In human genetic maps, differences between female (xf) and male (xm) map distances may be characterized by the ratio,R = xf/xm, or the relative difference,Q= (xf−xm)/(xf+xm) = (R− 1)/(R+ 1). For a map of genetic markers spread along a chromosome,Q(d) may be viewed as a graph ofQversus the midpoints,d, of the map intervals. To estimate male and female map distances for each interval, a novel method is proposed to evaluate the most parsimonious trend ofQ(d) along the chromosome, whereQ(d) is expressed as a polynomial ind. Stepwise maximum likelihood polynomial regression ofQis described. The procedure has been implemented in a FORTRAN program package, TREND, and is applied to data on chromosome 18.
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