PERMUTATION METHODS FOR THE STRUCTURED EXPLORATORY DATA-ANALYSIS (SEDA) OF FAMILIAL TRAIT VALUES

  • 1 January 1984
    • journal article
    • research article
    • Vol. 36  (4) , 873-898
Abstract
A collection of functions that contrast familial trait values between and across generations is proposed for studying transmission effects and other collateral influences in nuclear families. Two classes of structured exploratory data analysis (SEDA) statistics are derived from ratios of these functions. SEDA-functionals are the empirical cumulative distributions of the ratio of the 2 contrasts computed within each family. SEDA-indices are formed by first averaging the numerator and denominator contrasts separately over the population and then forming their ratio. The significance of SEDA results are determined by a spectrum of permutation techniques that selectively shuffle the trait values across families. The process systematically alters certain family structure relationships while keeping other familial relationships intact. The methodology is applied to 5 data examples of plasma total cholesterol concentrations, reported height values, dermatoglyphic pattern intensity index scores, measurements of dopamine-.beta.-hydroxylase activity, and psychometric cognitive test results.