Legendre polynomials

Random regression models for the estimation of genetic and environmental covariance functions for growth traits in Santa Ines sheep

J. L. R. Sarmento, Torres, R. A., Sousa, W. H., Lôbo, R. N. B., Albuquerque, L. G., Lopes, P. S., Santos, N. P. S., Bignard, A. B., Sarmento, J. L. R., Torres, R. A., Sousa, W. H., Lôbo, R. N. B., Albuquerque, L. G., Lopes, P. S., Santos, N. P. S., and Bignard, A. B., Random regression models for the estimation of genetic and environmental covariance functions for growth traits in Santa Ines sheep, vol. 15, p. -, 2016.

Polynomial functions of different orders were used to model random effects associated with weight of Santa Ines sheep from birth to 196 days. Fixed effects included in the models were contemporary groups, age of ewe at lambing, and fourth-order Legendre polynomials for age to represent the average growth curve. In the random part, functions of different orders were included to model variances associated with direct additive and maternal genetic effects and with permanent environmental effects of the animal and mother.

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