格式參考应用统计方法解决典型数学模型.doc

东北石油大学 毕业设计（论文）任务书 题目 应用统计方法求解典型数学模型专业 信息与计算科学 学号 111001140109 姓名 武杰 主要内容、基本要求、主要参考资料等： 主要内容： 本文拟首先简单介绍应用统计方法应用统计方法求解典型数学模型指导教师签名： 专业负责人签名： 年 月 日 摘 要 现实生活中, 由于客观事物内部规律的复杂性及人们认识程度的限制, 人们常搜集大量的数据, 基于数据的统计分析建立合乎机理规律的数学模型, 然后通过计算得到的模型结果来解释实际问题。而随着社会的不断发展，统计的知识越来越重要，运用抽样数据进行推断已经成为现代社会一种普遍适用并且强有力的思考方式。 本文在论述统计思想的广泛应用和简介MATLAB工具箱的基础上，通过介绍方差分析、判别分析、主成分分析三种常见统计分析方法的基础原理及其应用性实例，结合MATLAB编程，归纳总结了较为简便的计算机求解方法，并给出了具体答案。 最后，本文着重的探讨了典型数学模型应用统计方法的MATLAB求解，无论是DNA序列分类模型中运用的主成分分析法、Fisher判别分析法，还是在解决葡萄酒评价问题中所用的单因素方差分析思想，都很好的体现了统计思想方法在解决典型数学模型问题时应用的广泛性和有效性。 关键词：数学模型；方差分析；判别分析；主成分分析；Matlab  Abstract In real life, because of the complexity of the internal law of objective things and people know the degree of restriction, it is often to collect a large amount of data, based on statistical analysis of data create the mechanism mathematical model of the law, and then through the calculated model results to explain the practical problems.And with the continuous development of society, the knowledge of statistics is more and more important, using the sampling data to infer that has become a modern society widely used and powerful ways of thinking. This paper discusses the widely used of statistical thinking and on the basis of introduction to MATLAB toolbox , by introducing the variance analysis, discriminant analysis, principal component analysis based on analysis of three common statistical principle and its application examples, combining with the MATLAB programming, summarized the simple computer solving method, and presents a concrete answers. Finally, this paper discusses the typical statistical method of MATLAB to solve the mathematical model of the application, whether in the DNA sequence classification model using principal component analysis , Fisher discriminant analysis method, is used in solving for the evaluation of wine, the single factor analysis of variance of thoughts, all good embodies the