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On the Probabilities of Obtaining Negative Estimates of Genetic Variance Components
Author(s) -
Tan W. Y.,
Wong S. P.
Publication year - 1978
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710200109
Subject(s) - backcrossing , statistics , variance (accounting) , mathematics , dominance (genetics) , additive model , variance components , genetic model , econometrics , biology , genetics , economics , accounting , gene
This paper derives the probabilities of obtaining negative estimates of additive and dominance genetic variances when one uses the traditional weighted least square method for estimating genetic variances as given in MATHER and JINKS (1971). The model considered involves P 1 , P 2 , F 2 , B 1 (Backcross to P 1 ) and B 2 (Backcross to P 2 ). The results are derived under the ordinary assumptions as made in the genetic literatures. It is shown that unless the genetic effects are very large and environmental effects small, the probabilities of obtaining negative estimates of additive and dominance variances are in general quite large.