Sheep farming plays an important role in the production of meat. Romanov breed is known for its high fertility and therefore is used all over the world due to increased production of lambs and lamb meat. Meat products are the main food elements of the man. Most of the inhabitants of industrialized countries cannot imagine their menu without meat. Value of meat for human health is known, it supplies protein to the body. The Yaroslavl Region is a leading region of the Romanov sheep breed. Therefore, the aim of our research was to determine the strength and reliability of the influence of the factor ?genetic value of the father? on productive characteristics of animals as a factor that helps to increase the productivity of animals. Upon determining the strength of the influence of factors for statistical data have used the procedure of generalized linear models (General Linear Models - GLM), and evaluation components of phenotypic variation attributes were analyzed by multivariate dispersive analysis. Our research has allowed allocating rams with genetic value that has the improving effect. Using the recommended lines the farmers of the Yaroslavl region may increase productive characteristics of animals and the profit of the farms and improve the efficiency of breeding.