Erkki P. Liski, Nripes K. Mandal, Kirti R. Shah, Bikas K. Sinha

Topics in Optimal Design (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book covers a wide range of topics in both discrete and continuous optimal designs. The topics discussed include designs for regression models, covariates models, models with trend effects, and models with competition effects. The prerequisites are a basic course in the design and analysis of experiments and some familiarity with the concepts of optimality criteria.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 164
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461300496
• Artikelnr.: 44058632

Autorenporträt

Erkki P. Liski, University of Tampere, Finland / Nripes K. Mandal, University of Calcutta, India / Kirti R. Shah, University of Waterloo, ON, Canada / Bikas K. Sinha, Indian Statistical Institute, Calcutta, India

Statistics, general

Inhaltsangabe

Scope of the Monograph.- and Literature Review.- Some Useful Linear Models.- Estimation of Regression Parameters in RCR Models.- Summary.- References.- Optimal Regression Designs in Symmetric Domains.- Loewner Comparison of Designs.- Polynomial Fit Models.- Multi-Factor First-Degree Polynomial Fit Models.- References.- Optimal Regression Designs in Asymmetric Domains.- de la Garza Phenomenon in Quadratic and Cubic Regression.- Optimal Designs for Parameter Estimation in RCR Models.- Optimal Designs for Prediction in RCR Models.- Optimal Designs for Inverse Prediction in RCR Models.- References.- Optimal Designs for Covariates' Models with Structured Intercept Parameter.- Optimal Regression Designs with One-Way Classified Intercepts.- Optimal Regression Designs with Two-Way Classified Intercepts.- Concluding Remarks.- References.- Stochastic Distance Optimality.- Properties of the DS-Optimality Criterion.- Discrete DS-Optimal Designs.- DS-Optimal Regression Designs.- Generalizations of DS-Optimality.- References.- Designs in the Presence of Trends.- Preliminaries.- Optimality within Restricted Classes.- Optimal Designs in V(v, b, k).- Efficiency Bounds.- References.- Additional Selected Topics.- Optimal Designs for a Competing Effects Model.- Split Block Designs.- Nested Experimental Designs.- Optimality Status of Incomplete Layout Three-Way Balanced Designs.- Optimal Designs Under Heteroscedastic Errors in Linear Regression.- References.- Author Index.