Research on Some Questions About Selection of Independent Variables

1　 IntroductionMultivariate is one of the most widely used branches of Statistics.The major uses are asfollows:1It is used to describe and explain phenomenon,when we expect the number ofindependent variables included in a regression equation to be reduced to the utmost.2 Itisused in prediction,when we expect MSE of prediction to be rather small.3 Itis used incontrol,when we expect the variance and MSE of each regression parameter to be rathersmall.From actual problem,we can extractmany in…

Research on Some Questions About Selection of Independent Variables

The paper studies four methods about selection of independent variables in multivariate analysis. In general condition, advanced statistical method and backward statistical method could not obtain the best subset of independent variables. It is possibly affected by the orders of variables or associations among variables. When multicollinearity is presented in a set of explanatory variables-abnormal state, it is not effective to use the method, although stepwise regression and optimum selecting method of total subsets is widely used.;According to this case, the paper proposes a new method which combines deleting variables with ingredient analysis and is used in research and science practically.;The important characteristic of this paper is that it gives some examples to support each conclusion.