The Symmetry Identification Simulation And Statistical Analysis

Global analysis is a new method in experiment designs field. Based on defining some new index of global sensitivity, it can recognize the global property of system function. In this paper, we further research the theory, which is proposed in the paper of Statistical Analysis of Global Synnetry. Using some new definitions, we put forward to model of symmetry identification, which can make global analysis theory completely. Contribution rate is given further research, which is the index of global sensitivity based on symmetry decomposition to system function. And its significance in the whole system function is illustrated through statistical simulation.This paper is divided into four chapters.The first chapter is an introduction, which contains background, significance of the research and main works.Chapter two presents the definitions,properties and theorems of class idempotent function,systems of orthogonal idempotent and symmetry functions.In chapter three, we firstly propose some definitions, theorems and examples of identi-fication, irrelevance and global analysis of variance. Then, we put forward to the definitions of model of symmetry identification and symmetry design. Finally, we give the calculation method of contribution rate in detail and discuss the feasibility of symmetry design.Chapter four aims at elaborating the method of statistical analysis of global symmetry is good at analyzing system function by way of statistical simulation. The simulation results are consistent with the conclusion of theorem 3.4.3.