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In the Present Book Chapter-I is an introductory one. It contains the general introduction about the methods of Diagnostic Tests in statistical modeling besides the objectives and organization of the present study. It also brings out the chapter scheme. Chapter-II describes the various selection criteria for statistical model building. Under the criteria of model selection among a large number of potentially important regressors, only a subset of explanatory variables may be finally chosen. Chapter-III proposes how to specify the Nested and Non-Nested models in statistics. It also gives the...

In the book an attempt has been made to develop some new diagnostic tests for statistical model building in the context of linear regression models. Diagnostics of outliers has been described and a test for identifying outliers by using predicted residuals has been proposed in the present study. Besides outliers, a measure of influence for diagnostics has been developed in the study. Some new modified R2 and criteria for model selection have been developed along with modified mean square prediction error criteria; and modified information criteria for model selection. A test for exogeneity in...

In the present book, Chapter-I is an introductory one. It gives general introduction about the nonlinear regression models. A brief review about the existing inferential procedures for nonlinear regression models has been give in Chapter-II. It contains various nonlinear methods, of estimation based on nonlinear least squares and maximum likelihood methods, besides the methods by using some numerical analysis procedures.Chapter-II and IV describe the specification and estimation of some important nonlinear production function models such as Cobb-Douglas, Constant Elasticity of Substitution...