| Mathematical statistics is a subject of collection,manipulation,analysis,interpretation of data to draw conclusions,the fundamental problem is to extract random samples from the population,and then to infer the quantitative characteristics of the population from the samples.The task of mathematical statistics is to study how to use effective methods to collect and manipulate data with random effects,there are a lot of statistical methods.Linear model and multivariate analysis are the two main aspects of the application.Mathematical statistics play a very important role in quantitative analysis and application research of agriculture,commerce,medicine,sociology,economics and other areas.In view of this,the main research work of this paper is as follows:1.In this paper,it is studied that the variance analysis model of the relationship between the classified independent variables and the numerical dependent variables,and defined that the problem of variance analysis and the requirement of variable types.The data organization form of the model are illuminated.It is analyzed that the application of variance analysis in medicine and agriculture.2.In this paper,it is studied that path relation model of structural equation of the relationship between multiple dependent variable and multiple dependent variable.It is studied the econometric model of customer satisfaction index from the vertical and horizontal angles3.In this paper,it is studied that generalized inference in the presence of nuisance parameters in small and medium sized samples,then defined practical problems to be solved in the generalized inference,it is provided that basic principles of generalized inference and discussed application of generalized inference method in reliability problem of complex mixed system. |