Order statistics of correlated variables and implications in genetic selection programmes

Biometrics. 1976 Dec;32(4):889-902.

Abstract

Formulae are derived and examples given for the expected values of the order statistics from a sample of several groups or families of equal size where the group members have intra-class correlation t. As t increases from O the means of the highest ranking individuals are little reduced initially, but as t approaches 1 the change becomes more rapid, the total reduction depending on the number of groups. The effect on selection differentials of the intra-class correlation of family members is generally small for t less than 0.5, such as if selection is practised on individual performance. If, however, family mean performance is used in an index, the selection differentials may be substantially reduced.

MeSH terms

  • Animals
  • Genetics, Population
  • Statistics as Topic* / methods