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dc.contributor.authorHickey, John M*
dc.contributor.authorVeerkamp, Roel F.*
dc.contributor.authorCalus, M. P. L.*
dc.contributor.authorMulder, Han A*
dc.contributor.authorThompson, Robin*
dc.date.accessioned2012-11-27T14:36:16Z
dc.date.available2012-11-27T14:36:16Z
dc.date.issued2009-02-09
dc.identifier.citationJohn M Hickey, Roel F Veerkamp, Mario PL Calus, Han A Mulder and Robin Thompson. Estimation of prediction error variances via Monte Carlo sampling methods using different formulations of the prediction error variance. Genetics Selection Evolution. 2009 Feb 09;41(1):23.doi:10.1186/1297-9686-41-23en_GB
dc.identifier.urihttp://hdl.handle.net/11019/226
dc.identifier.urihttp://dx.doi.org/10.1186/1297-9686-41-23
dc.descriptionpeer-reviewed
dc.description.abstractCalculation of the exact prediction error variance covariance matrix is often computationally too demanding, which limits its application in REML algorithms, the calculation of accuracies of estimated breeding values and the control of variance of response to selection. Alternatively Monte Carlo sampling can be used to calculate approximations of the prediction error variance, which converge to the true values if enough samples are used. However, in practical situations the number of samples, which are computationally feasible, is limited. The objective of this study was to compare the convergence rate of different formulations of the prediction error variance calculated using Monte Carlo sampling. Four of these formulations were published, four were corresponding alternative versions, and two were derived as part of this study. The different formulations had different convergence rates and these were shown to depend on the number of samples and on the level of prediction error variance. Four formulations were competitive and these made use of information on either the variance of the estimated breeding value and on the variance of the true breeding value minus the estimated breeding value or on the covariance between the true and estimated breeding values.en_GB
dc.description.sponsorshipThe authors acknowledge the Irish Cattle Breeding Federation for providing funding and data. Robin Thompson acknowledges the support of the Lawes Agricultural Trust.
dc.language.isoenen_GB
dc.publisherBiomed Central
dc.relation.ispartofseriesGenetics Selection Evolution
dc.subjectPrediction error variance covariance matrix
dc.subjectMonte Carlo sampling
dc.subjectConvergence rate
dc.subjectBreeding values
dc.titleEstimation of prediction error variances via Monte Carlo sampling methods using different formulations of the prediction error varianceen_GB
dc.typeArticleen_GB
refterms.dateFOA2018-01-12T07:39:34Z


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