Author | Liski, Erkki P. author |
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Title | Topics in Optimal Design [electronic resource] / by Erkki P. Liski, Nripes K. Mandal, Kirti R. Shah, Bikas K. Sinha |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2002 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-0049-6 |
Descript | XI, 164 p. 7 illus. online resource |
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 Covariatesโ 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