Smith, Lopez and Lam described how to combine genetic similarities, measured in centimorgans (cM), among declared relatives in an outside pedigree, and to concentrate those cM values into a single cM measurement for an envoy that is a representative of the outside pedigree. An unknown relative is presumed to be a descendant of the envoy, but has the cM values with relatives in the outside pedigree. That prior effort was a univariate analysis, where there is only one unknown relative with matches with others in the outside pedigree. The present paper presents a bivariate analysis, where there are two sisters that have matches with others in the outside pedigree. The cM values are now paired, where any DNA tested member of the pedigree has two cM values that match to both sisters. The bivariate analysis offers more efficient use of information, compared to two univariate analyses done for each sister in turn. This advantage comes with an increase in model complexity, in that a model is developed for treating three mutually exclusive categories representing genes found in the sisters: for genes in the first sister but not in the second sister; genes common to both sisters; or genes in the second sister but not in the first. The model is applied to the inheritance of the cM values in the pedigree. Even though the number of random effects is increased by a factor of three, the number of fixed effects that actually spend two degrees of freedom is unchanged from the univariate analysis. This is on top of the doubling of the number of observations for the bivariate analysis compared to one univariate analysis.
Comments: 12 Pages.
[v1] 2017-05-31 02:13:21 (removed)
[v2] 2017-06-01 23:38:49
Unique-IP document downloads: 33 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.