Statistical Analysis Of Global Symmetry

Global analysis is a new method in experiment designs field.Based on define some new index of global sensitivity,it can recognize the global property of system function.In this paper,we care much about the symmetry of system function.By making use of symmetry demonstration to system function,we define some new index of global sensitivity---contribution ratio.This index can explain how the symmetry functions work in the whole system function.This paper has five chapters as the following:The first chapter is an introduction,which is a retrospect on the process of the global analysis.The origin and meaning of analysis of global symmetry is also discussed here.Chapter two presents the definition,theory and examples of normal symmetry decomposition and class idempotent function.A method to construct class idempotent function is introduced.Chapter three introduces symmetry function,which is the primary tool in studying symmetry.It is necessary to give a brief introduction of the construction and properties of symmetry function.Chapter four aims at elaborating the method of analysis of global symmetry.The definition of global sensitivity index is given and some examples are also included.Chapter five principally investigates the simulation of analysis of global symmetry.According to two different system functions,several simulations are done for them.It is illustrated that analysis of global symmetry is a feasible method.The appendix provides some related content,the class idempotent function contrasted,for reference.