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Effects of excluding a set of random effects on prediction error variance of breeding value
- Cantet, R.J.C.
- Journal of animal breeding and genetics 1997 v.114 no.1-6 pp. 267-274
- breeding value, computer simulation, gilts, models, prediction, uncertainty, variance
- SUMMARY: The effects of excluding a set of random effects (U-effects) uncorrelated to breeding values (BV) on prediction error variance (PEV) is studied analytically. Two situations are considered for model comparison: (a) existence of a ‘true' model, (b) uncertainty about which of the competing models is ‘true'. Models compared are the ‘long' one, which includes BV + U-effects, and the ‘short' one which includes BV's as the only random systematic effect. Expressions for PEV(BV) were obtained for the long model (PEVL); the short model (PEVS); and the short model assuming the long model is the correct one (PEVSI). It is shown that in general PEVS ≤ PEVL ≤ PEVSI. Results are exemplified by means of an example including a computer simulation.