Several frequently used image quality metrics were selected to systematically study the correlations between them using many distorted videos, which were revised by gradual changes of usual types of distortion. A modified power-law equation was found as a general relation between the metrics. The parameters obtained by data fittings on the experimental results can be approximated as additions of independent components, which are functions of average, distortion and video. Hence, a metrics can be written as a product of the power-law functions of another metrics with individual coefficients corresponding to distortion, video, and the minor terms. (C) 2011 The Japan Society of Applied Physics