Theoretical Research on Graphical Modeling and New Multivariate Analysis and the Development of the Software

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We studied the statistical multivariate analysis, especially the graphical modeling.The summary of theoretical research results is following : (1) multiplicity of tests and model selections ; (2) performance of deviance as a statistic for the validity of a model ; (3) a new variable selection procedure based on a path diagram ; (4) the effect of intervention on the independent variables using the directed model as a causal model ; (5) the performance of the conditional intervention ; (6) stepwise variable selection incovariance structure analysis ; (7) shrinkage estimation to smooth boundary ; (8) statistical aspect of process capability indices.The summary of the research results from practical view points is following : (1) the development and the improvement of a computer software for the graphical modeling of continuous variables ; (2) the development and the improvement of a computer software for the graphical modeling of the discrete wariables ; (3) the applied examples on the process control, remote sensing and customer satisfaction survey.We published the book "Introduction to graphical modeling" . This book was selected as the Nikkei Hinshitsukanri Bunkensho in 1999.