统计学《课程设计》论文中国农民收入区域差异的因素分析FactorAnalysisonIncomeofFarmersinChina学院：理学院专业：统计学姓名：学号：指导教师：摘要最近几年，中国农民收入增长乏力，农村居民消费不旺，城乡收入差距拉大，已是不争的事实。实际上，不仅仅是城乡居民收入差距拉大，就是农民内部也出现了明显的地区差异，这种差异不但没有缩小的趋势，相反却越来越表现出拉大的迹象。由于我国幅员辽阔，各省、市、自治区之间的资源禀赋和经济发展水平不同，农村居民人均纯收入地区差异较为明显。为了更好地分析各地区农村居民人均纯收入及其影响因素的不同，本文首先采用回归分析对近年来我国农民收入变动趋势和收入结构变化进行分析，再利用因子分析和聚类分析对全国31个省、市、自治区进行分类，进一步分析中、东、西部的农民的贫富差距及其原因。因此，该研究对于促进农村经济的发展，提高农民生活水平，具有重要的现实意义。关键词：农民收入；地区差异；回归分析；因子分析；系统聚类法FactorAnalysisonIncomeofFarmersinChinaAbstractInrecentyears,Chinesefarmers'incomegrowthofweakness,theruralresidents’consumptionnotprosperous,wideningincomegapbetweentheurbanandrural,alreadyisanindisputablefact.Infact,notonlytheincomeofurbanandruralresidentsgapbecomeswidening,butalsoanobviousregiondifferenceappearsamongfarmers.Wecannotobserveanynarrowingtendencyofthisdifference,butinsteadthereismuchmoreshowingsignsofwidening.Becauseourcountryisknownforhermassiveland,betweenprovinces,municipalitiesandautonomousregionsoftheendowmentofresourcesandeconomicdevelopmentlevelisdifferent,andpercapitanetincomeofruralresidentsisobviousregionaldistinct.Inordertoanalysethedifferenceofpercapitanetincomeofruralresidentsanditsinfluencingfactorsinthearea,thispaperfirstbyregressionanalysisrecentyearsChinesefarmers'incomechangingtrendandincomestructurechanging,theuseoffactoranalysisandclusteranalysistothenational31provinces,thecity,theautonomousregionclassification,andwithfurtheranalysisoneastandwestofthegapbetweenrichandpoorfarmersanditsreason.Therefore,thisresearchhasanimportantpracticalsignificanceonpromotingthedevelopmentofruraleconomy,andraisingthefarmers’livingstandard.Keywords:farmers'income;Regionaldifference;Regressionanalysis;Factoranalysis;HierarchicalClusteringMethod目录TOC\o"1-2"\u1.引言PAGEREF_Toc342915208\h11.1研究的背景及意义PAGEREF_Toc342915209\h11.2本文的研究方法PAGEREF_Toc342915210\h11.3数据来源PAGEREF_Toc342915211\h12.检测结果与分析PAGEREF_Toc342915212\h12.1农村居民家庭人均纯收入分析PAGEREF_Toc34291