What statistics is PSNR related using JPEG2000

JPEG2000 encoder is well designed, it makes full use of the redundant information among the images. Many of us may have the experience that when compress variety of images of different types using it, the peak signal-to-noise ratio (PSNR) values vary widely from image to image. This large variation in PSNR can only be attributed to the nature and inherent characteristics of the image, since everything else is fixed. In this paper, we analyze the statistics and features using a large set of images, which generally provide a good representation of the global nature of the image. It can show that most of the gray-level statistics we have measured are not related at all with the PSNR using JPEG2000 except for image activity measure (IAM).