Number of inseminations to conception in Iranian Holstein cows using Bayesian Markov random

‎Animal model is a type of generalized linear mixed-effects model‎, ‎where the non-independence among data points comes from genetic and environmental effects‎, ‎these form of models are named animal models‎. ‎In this study we used animal model for genetic analysis number of inseminations to conception in Iranian Holstein cows and proposed the approximate Bayesian approach for the inference‎. ‎Data consisted of 72‎, ‎124 records of parities 1 to 6 from 27‎, ‎113 cows having lactation between 1981 and 2007 and distributed over 15 large Holstein herds‎. ‎Approximate Bayesian estimate of direct heritability shows that about 14 percent of the variability in the number insemination resulted in conception is expressed by breeding values‎. ‎HPD confidence interval for direct heritability suggests that minimum of 12% and up to 14% of direct heritability can be expressed by the cow breeding values‎. ‎ ‎Finally we compared the results and time consuming of the Approximate Bayesian approach with the conventional Bayesian approach with MCMC algorithms‎. ‎The results indicate that the computational time of the MCMC algorithm is large compared with the Approximate Bayesian approach‎.