FACTORIZATION OF COLLECTIVE INFLUENCES OF DATA AND CROSS INFLUENCE OF DATA IN MULTIVARIATE LINEAR REGRESSION
多重线性回归中数据联合影响的分解及数据的交叉影响

In this paper,we discuss the relationship between the collective influences of multiplecases and the influence of each case on regression analysis in multivariate linear regression,that is,the factorization of the collective influences of cases.We also discuss the magnitudeof influence of case i on the fitted value at case j,that is,the cross influence of data;and theupper bound of the cross influence is obtained.Furthermore,we reveal the role of off-diago-nal elements of the hat matrix in the factorization and the cross influence of data.