Maximizing heritability of a linear combination of traits.

W. M. Grove

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


In 1971 Jones proposed an approximate procedure for finding that linear combination of scores which has maximum heritability in a twin sample. I give an exact small-sample procedure. I point out two problems: such procedures can over-optimize the heritability by capitalizing on chance, and confidence intervals and significance tests are needed. I give an approach using James-Stein shrinkage estimation and bootstrapped standard errors to address these problems. It appears that confidence intervals may be quite broad. To reduce the width of the confidence intervals, one can accept some small-sample bias in exchange for smaller sampling errors. The James-Stein approach to estimating coefficients is used to achieve reduced confidence interval width. I illustrate with a computational example using personality data.

Original languageEnglish (US)
Pages (from-to)467-476
Number of pages10
JournalPsychological reports
Issue number1 Pt 2
StatePublished - Aug 1994


Dive into the research topics of 'Maximizing heritability of a linear combination of traits.'. Together they form a unique fingerprint.

Cite this