Abstract: When analyzing economic growth factors, researchers often use a production function model, the constant elasticity of substitution production function model, to estimate and calculate the contribution rate of various influential factors to economic growth. The constant elasticity of substitution production function model takes multiple forms, and this paper puts forward a new overlapped constant elasticity of substitution production function model based on certain multivariate structural characteristics of production. This paper makes a quality assessment of the established model by assessing parameters, residual error and precision. This paper also verifies the appropriateness of the proposed model. In terms of application, this paper proposes a new scientific method to calculate the contribution rate of factors by using the overlapped constant elasticity of the substitution production function model. Finally, this paper conducts an empirical analysis of the contribution rate of relevant factors on the economic growth of China, and the results achieved were found to conform to the actual situation. The method presented in this paper may be helpful to the in-depth study of production function models.

Key words: production function, economic growth, contribution rate of factor, empirical analysis