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JACKKNIFE VARIANCE ESTIMATORS OF THE LOCATION

ESTIMATOR IN THE ONE-WAY RANDOM-EFFECTS MODEL

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YOUNGJO LEE

*Department of Statistics, Hallym University, Chunchon, Korea*
(Received October 11, 1989; revised July 6, 1990)

**Abstract.**
In a one-way random-effects model, we
frequently estimate the variance components by the
analysis-of-variance method and then, assuming the estimated values
are true values of the variance components, we estimate the
population mean. The conventional variance estimator for the estimate
of the mean has a bias. This bias can become severe in contaminated
data. We can reduce the bias by using the delta method. However, it
still suffers from a large bias. We develop a jackknife variance
estimator which is robust with respect to data contamination.

*Key words and phrases*:
Jackknife, one-way random-effect
models, robustness, Monte Carlo study.

**Source**
( TeX ,
DVI ,
PS )