Use of deterministic sampling for exploring likelihoods in linkage analysis for quantitative traits.

Deterministic sampling was used to numerically evaluate the expected log-likelihood surfaces of QTL-marker linkage models in large pedigrees with simple structures. By calculating the expected values of likelihoods, questions of power of experimental designs, bias in parameter estimates, approximate...

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Main Authors: Mackinnon, M, van der Beek, S, Kinghorn, B
Format: Journal article
Language:English
Published: 1996
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author Mackinnon, M
van der Beek, S
Kinghorn, B
author_facet Mackinnon, M
van der Beek, S
Kinghorn, B
author_sort Mackinnon, M
collection OXFORD
description Deterministic sampling was used to numerically evaluate the expected log-likelihood surfaces of QTL-marker linkage models in large pedigrees with simple structures. By calculating the expected values of likelihoods, questions of power of experimental designs, bias in parameter estimates, approximate lower-bound standard errors of estimates and correlations among estimates, and suitability of statistical models were addressed. Examples illustrated that bracket markers around the QTL approximately halved the standard error of the recombination fraction between the QTL and the marker, although they did not affect the standard error of the QTL's effect, that overestimation of the distance between the markers caused overestimation of the distance between the QTL and marker, that more parameters in the model did not affect the accuracy of parameter estimates, that there was a moderate positive correlation between the estimates of the QTL effect and its recombination distance from the marker, and that selective genotyping did not introduce bias into the estimates of the parameters. The method is suggested as a useful tool for exploring the power and accuracy of QTL linkage experiments, and the value of alternative statistical models, whenever the likelihood of the model can be written explictly.
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spelling oxford-uuid:ae30f804-7c39-4e62-8593-4b63f35190c62022-03-27T03:40:57ZUse of deterministic sampling for exploring likelihoods in linkage analysis for quantitative traits.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ae30f804-7c39-4e62-8593-4b63f35190c6EnglishSymplectic Elements at Oxford1996Mackinnon, Mvan der Beek, SKinghorn, BDeterministic sampling was used to numerically evaluate the expected log-likelihood surfaces of QTL-marker linkage models in large pedigrees with simple structures. By calculating the expected values of likelihoods, questions of power of experimental designs, bias in parameter estimates, approximate lower-bound standard errors of estimates and correlations among estimates, and suitability of statistical models were addressed. Examples illustrated that bracket markers around the QTL approximately halved the standard error of the recombination fraction between the QTL and the marker, although they did not affect the standard error of the QTL's effect, that overestimation of the distance between the markers caused overestimation of the distance between the QTL and marker, that more parameters in the model did not affect the accuracy of parameter estimates, that there was a moderate positive correlation between the estimates of the QTL effect and its recombination distance from the marker, and that selective genotyping did not introduce bias into the estimates of the parameters. The method is suggested as a useful tool for exploring the power and accuracy of QTL linkage experiments, and the value of alternative statistical models, whenever the likelihood of the model can be written explictly.
spellingShingle Mackinnon, M
van der Beek, S
Kinghorn, B
Use of deterministic sampling for exploring likelihoods in linkage analysis for quantitative traits.
title Use of deterministic sampling for exploring likelihoods in linkage analysis for quantitative traits.
title_full Use of deterministic sampling for exploring likelihoods in linkage analysis for quantitative traits.
title_fullStr Use of deterministic sampling for exploring likelihoods in linkage analysis for quantitative traits.
title_full_unstemmed Use of deterministic sampling for exploring likelihoods in linkage analysis for quantitative traits.
title_short Use of deterministic sampling for exploring likelihoods in linkage analysis for quantitative traits.
title_sort use of deterministic sampling for exploring likelihoods in linkage analysis for quantitative traits
work_keys_str_mv AT mackinnonm useofdeterministicsamplingforexploringlikelihoodsinlinkageanalysisforquantitativetraits
AT vanderbeeks useofdeterministicsamplingforexploringlikelihoodsinlinkageanalysisforquantitativetraits
AT kinghornb useofdeterministicsamplingforexploringlikelihoodsinlinkageanalysisforquantitativetraits