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Assessing accuracy in linkage analysis by means of confidence regions

Hössjer, Ola LU (2002) In Preprint without journal information
Abstract
When statistical linkage to a certain chromosomal region has been found, it is of interest to develop methods which quantify the accuracy with which the disease locus can be mapped. In this paper, we investigate the performance of three different types of confidence regions with asymptotically correct coverage probability as the number of pedigrees grows. Our setup is that of a saturated map of marker data. We show that the expected length of the confidence region is inversely proportional to the square of the noncentrality parameter and to a certain normalized slope-to-noise ratio. Our investigations reveal that testing performance criteria (such as the power to detect linkage) can be quite different from estimation based performance... (More)
When statistical linkage to a certain chromosomal region has been found, it is of interest to develop methods which quantify the accuracy with which the disease locus can be mapped. In this paper, we investigate the performance of three different types of confidence regions with asymptotically correct coverage probability as the number of pedigrees grows. Our setup is that of a saturated map of marker data. We show that the expected length of the confidence region is inversely proportional to the square of the noncentrality parameter and to a certain normalized slope-to-noise ratio. Our investigations reveal that testing performance criteria (such as the power to detect linkage) can be quite different from estimation based performance criteria (such as the expected length of a confidence region). (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
unpublished
subject
in
Preprint without journal information
issue
2002:17
publisher
Manne Siegbahn Institute
ISSN
0348-7911
language
English
LU publication?
yes
id
14a08faa-e9cb-4fdc-b8d2-a5e3cdfa3b9e (old id 830022)
date added to LUP
2016-04-04 09:30:00
date last changed
2018-11-21 20:53:33
@article{14a08faa-e9cb-4fdc-b8d2-a5e3cdfa3b9e,
  abstract     = {{When statistical linkage to a certain chromosomal region has been found, it is of interest to develop methods which quantify the accuracy with which the disease locus can be mapped. In this paper, we investigate the performance of three different types of confidence regions with asymptotically correct coverage probability as the number of pedigrees grows. Our setup is that of a saturated map of marker data. We show that the expected length of the confidence region is inversely proportional to the square of the noncentrality parameter and to a certain normalized slope-to-noise ratio. Our investigations reveal that testing performance criteria (such as the power to detect linkage) can be quite different from estimation based performance criteria (such as the expected length of a confidence region).}},
  author       = {{Hössjer, Ola}},
  issn         = {{0348-7911}},
  language     = {{eng}},
  number       = {{2002:17}},
  publisher    = {{Manne Siegbahn Institute}},
  series       = {{Preprint without journal information}},
  title        = {{Assessing accuracy in linkage analysis by means of confidence regions}},
  year         = {{2002}},
}