Topics in Optimal Design
In the early nineties, at the initiative of Sinha and financial support of Shah and Liski (from their respective Research Project Funds), the authors - inspired by their similar research interests - started collaborative research at various institutions mostly in pairs and triplets. It took more tim...
Main Authors: | , , , |
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Format: | eBook |
Language: | English |
Published: |
New York, NY
Springer New York
2002, 2002
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Edition: | 1st ed. 2002 |
Series: | Lecture Notes in Statistics
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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