“…Among other methods, those used for this purpose include the REML method (Lee et al, 2009, Matika et al, 2001, Piwczyński, et al, 2004, Sousa et al, 2000, the Gibbs sampling method (Piwczyński and Mroczkowski, 2009), and also the linear (Matos, et al, 1997, Olesen, et al, 1994, Piwczyński, et al, 2004, Sousa, et all, 2000, Varona, et al, 1999, Vatankhah et al, 2006) and the threshold model (Matos, et al, 1997, Olesen, et al, 1994, Piwczyński and Mroczkowski, 2009, Sousa et all, 2000, Varona, et al, 1999, Vatankhah, et al, 2006. Previous reports in the literature present studies in which probit or logit transformations were applied first (Matika, et al, 2001, Piwczyński, et al, 2004, before estimation of binomial trait heritability. Some papers describe estimates of parameters obtained in accordance with the mean value of several consecutive ewe performance values (for instance 2 or 3) (Piwczyński, et al, 2004) , or the life performance (Lee, et all, 2009).…”