Exact confidence intervals for a variance ratio (or heritability) in a mixed linear model

Brent D Burch, Hari K. Iyer

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

A family of procedures is given to construct confidence intervals for the heritability coefficient in a mixed linear model. The procedures are applicable for constructing confidence intervals for a ratio of variance components in a mixed linear model having two sources of variation. If the random effects are correlated, the procedure is valid even when there are zero degrees of freedom for error. The resulting intervals are evaluated in terms of bias and expected length. A sufficient condition for local unbiasedness is given and a numerical procedure is discussed for computing expected lengths. The investigator may select the best confidence interval procedure from the family of procedures based on these criteria. Computer software for obtaining the best interval is available from the authors.

Original languageEnglish (US)
Pages (from-to)1318-1333
Number of pages16
JournalBiometrics
Volume53
Issue number4
DOIs
StatePublished - Dec 1997

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Exact Confidence Interval
Mixed Linear Model
Variance Ratio
Heritability
confidence interval
Linear Models
heritability
linear models
Confidence Intervals
Confidence interval
Expected Length
Unbiasedness
Components of Variance
Interval
Numerical Procedure
Random Effects
Degree of freedom
Valid
Software
Research Personnel

Keywords

  • Confidence intervals
  • Expected length
  • Mixed linear model
  • Unbiasedness
  • Variance components

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Public Health, Environmental and Occupational Health
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics
  • Statistics and Probability

Cite this

Exact confidence intervals for a variance ratio (or heritability) in a mixed linear model. / Burch, Brent D; Iyer, Hari K.

In: Biometrics, Vol. 53, No. 4, 12.1997, p. 1318-1333.

Research output: Contribution to journalArticle

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