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 language | English (US) |
|---|---|
| Pages (from-to) | 1318-1333 |
| Number of pages | 16 |
| Journal | Biometrics |
| Volume | 53 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 1997 |
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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 journal › Article
}
TY - JOUR
T1 - Exact confidence intervals for a variance ratio (or heritability) in a mixed linear model
AU - Burch, Brent D
AU - Iyer, Hari K.
PY - 1997/12
Y1 - 1997/12
N2 - 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.
AB - 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.
KW - Confidence intervals
KW - Expected length
KW - Mixed linear model
KW - Unbiasedness
KW - Variance components
UR - http://www.scopus.com/inward/record.url?scp=0031455614&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0031455614&partnerID=8YFLogxK
U2 - 10.2307/2533500
DO - 10.2307/2533500
M3 - Article
AN - SCOPUS:0031455614
VL - 53
SP - 1318
EP - 1333
JO - Biometrics
JF - Biometrics
SN - 0006-341X
IS - 4
ER -