两阶段聚类及典型相关分析应用于农村居民人均收入与生活消费支出研究

Study on the relationship between average incomes and life expenditures of rural residents by applying two-step-cluster method and canonical correlation analysis

以县(市)为研究单元,选用两组12个指标(变量)分析了广西农村居民人均收入与消费支出水平及其相关性。两阶段聚类结果表明,广西76个县(市)可分为3种收入支出类型:高收入高支出类型Ⅰ,中收入中支出类型Ⅱ和低收入低支出类型Ⅲ。对各收入支出类型进行典型相关分析显示,广西农民收入与支出有着较为复杂的相关性。第Ⅰ类工资性收入(X1)与衣着(Y2)、居住支出(Y3);第Ⅱ类家庭经营收入(X2)与食品(Y1)、交通和通讯支出(Y6)、文教娱乐用品及服务支出(Y7);第Ⅲ类家庭经营收入(X2)与家庭设备用品及服务(Y4)、其他商品及服务支出(Y8)等变量之间呈显著正相关。

The county（city） was used as study unit, the average incomes and expenditure of rural residents as well as their relationship were analyzed by two groups with 12 indexes. The results showed that the 76 counties （cities） of Guangxi could be divided into three incomes and expenditure types： high income and high expenditure type-Ⅰ, middle income and middle expenditure type-Ⅱ, low income and low expenditure type- Ⅲ . Canonical correlation analysis of all kinds of income and expenditure types showed that there were complicated relationships between income and expenditure of rural residents of Guangxi. The correlations among wage income （X1） and cloth expenses（Y2） as well as house expenses（Y3） in type-Ⅰ, family operating income（X2） and food expenses（Y1） as well as transportation and communication expenses（Y6）, education and entertainment consumption and service expenditure（Y7） in type-Ⅱ, family operating income （X2） and family equipments and service expenditure （Y4） as well as other expenses in commodity and serviee（Y4） in type- Ⅱ were significantly positive.