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The following problems are studied and their solutions found. Bootstrap methods for confidence interval estimation of a binomial parameter and for model selection in linear regression. Tree-structured algorithms for classification, piecewise-linear regression and generalized linear models, and proportional hazards regression for censored observations. Asymptotic efficiency of tests following data transformations. Identification of significant effects from unreplicated two-level factorial designed experiments. Bounds on the asymptotic size of the likelihood ratio test of independence in a cross-classified table. (AN)