SCALING THRESHOLD CHARACTERS | Zendy

Daniel Gianola | Zendy; H. W. Norton | Zendy

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SCALING THRESHOLD CHARACTERS

Author(s) -

Daniel Gianola,

H. W. Norton

Publication year - 1981

Publication title -

genetics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.792

H-Index - 246

eISSN - 1943-2631

pISSN - 0016-6731

DOI - 10.1093/genetics/99.2.357

Subject(s) - heritability , categorical variable , scaling , statistics , correlation , selection (genetic algorithm) , biology , genetic correlation , mathematics , random variate , genetics , genetic variation , computer science , random variable , artificial intelligence , geometry , gene

A simple method of scaling ordered categorical responses having a joint distribution with an underlying normal variable is presented. Scores are developed that maximize heritability of the observed variate and that in the class of scores based on polychotomies: (1) maximize the correlation between score and the underlying genetic value to be predicted, and (2) minimize mean-square prediction error. Several examples suggest little is lost, in terms of heritability, by using equally spaced scores. The proposed scaling method discriminates among candidates for selection that would be tied if equally spaced scores are used and sometimes yields different rankings of candidates.

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