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Optimal crossover designs [[electronic resource] /] / Mausumi Bose, Aloke Dey
Optimal crossover designs [[electronic resource] /] / Mausumi Bose, Aloke Dey
Autore Bose Mausumi
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2009
Descrizione fisica 1 online resource (238 p.)
Disciplina 519.5/7
Altri autori (Persone) DeyAloke
Soggetto topico Experimental design
Optimal designs (Statistics)
Soggetto genere / forma Electronic books.
ISBN 1-282-44158-2
9786612441585
981-281-843-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; 1. Introduction; 1.1 Prologue; 1.2 Notation, Terminology and Models; 1.3 Information Matrices; 1.4 Optimality Criteria and Tools; 1.5 Outline of the Book; 2. Optimality of Balanced and Strongly Balanced Designs; 2.1 Introduction; 2.2 Definitions and Some Basic Results; 2.3 Optimality of Balanced Uniform Designs; 2.4 Optimality of Strongly Balanced Designs; 2.5 Some More Optimal Designs; 2.6 Constructions; 3. Some Optimal Designs with p < t; 3.1 Introduction; 3.2 Designs with p t; 3.3 Two-period Designs; 3.4 Optimality of Patterson Designs; 3.5 Constructions
4. Optimal Designs via Approximate Theory4.1 Introduction; 4.2 Notation and Information matrices; 4.3 Quadratic Function for Direct Effects Associated with a Sequence; 4.4 Determining a, b and S; 4.5 Optimality Equations; 4.6 Optimal Symmetric Designs for Direct Effects; 4.7 Optimal Designs for Carryover Effects; 4.8 Design Efficiency; 5. Optimality under Some Other Additive Models; 5.1 Introduction; 5.2 A Model with Self and Mixed Carryover Effects; 5.3 A Model with Carryover Effects Proportional to Direct Effects and Optimal Designs; 6. Optimality under Non-additive Models; 6.1 Introduction
6.2 Correspondence with a Factorial Experiment6.3 Optimality Results; 6.4 Optimality Under a Non-additive Random Subject Effects Model; 6.5 Optimality in the Presence of Higher Order Carryover Effects and Interaction; 7. Some Further Developments; 7.1 Introduction; 7.2 Optimal Two-treatment Designs; 7.2.1 Optimal Designs under Uncorrelated Errors; 7.2.2 Optimal Designs under Correlated Errors; 7.2.3 Optimal Designs under Autoregressive Errors; 7.3 Optimal Designs under Correlated Errors for an Arbitrary Number of Treatments; 7.4 Optimal Designs for Test-Control Comparisons
7.4.1 Optimal Designs with p > t + 17.4.2 Optimal Designs with p = 2; 7.4.3 Optimal Designs with 3 p t +1; 7.5 Optimal Designs with Subject Dropout; 7.6 Some Additional Comments; References; Index
Record Nr. UNINA-9910457121903321
Bose Mausumi  
Singapore ; ; Hackensack, NJ, : World Scientific, c2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Optimal crossover designs [[electronic resource] /] / Mausumi Bose, Aloke Dey
Optimal crossover designs [[electronic resource] /] / Mausumi Bose, Aloke Dey
Autore Bose Mausumi
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2009
Descrizione fisica 1 online resource (238 p.)
Disciplina 519.5/7
Altri autori (Persone) DeyAloke
Soggetto topico Experimental design
Optimal designs (Statistics)
ISBN 1-282-44158-2
9786612441585
981-281-843-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; 1. Introduction; 1.1 Prologue; 1.2 Notation, Terminology and Models; 1.3 Information Matrices; 1.4 Optimality Criteria and Tools; 1.5 Outline of the Book; 2. Optimality of Balanced and Strongly Balanced Designs; 2.1 Introduction; 2.2 Definitions and Some Basic Results; 2.3 Optimality of Balanced Uniform Designs; 2.4 Optimality of Strongly Balanced Designs; 2.5 Some More Optimal Designs; 2.6 Constructions; 3. Some Optimal Designs with p < t; 3.1 Introduction; 3.2 Designs with p t; 3.3 Two-period Designs; 3.4 Optimality of Patterson Designs; 3.5 Constructions
4. Optimal Designs via Approximate Theory4.1 Introduction; 4.2 Notation and Information matrices; 4.3 Quadratic Function for Direct Effects Associated with a Sequence; 4.4 Determining a, b and S; 4.5 Optimality Equations; 4.6 Optimal Symmetric Designs for Direct Effects; 4.7 Optimal Designs for Carryover Effects; 4.8 Design Efficiency; 5. Optimality under Some Other Additive Models; 5.1 Introduction; 5.2 A Model with Self and Mixed Carryover Effects; 5.3 A Model with Carryover Effects Proportional to Direct Effects and Optimal Designs; 6. Optimality under Non-additive Models; 6.1 Introduction
6.2 Correspondence with a Factorial Experiment6.3 Optimality Results; 6.4 Optimality Under a Non-additive Random Subject Effects Model; 6.5 Optimality in the Presence of Higher Order Carryover Effects and Interaction; 7. Some Further Developments; 7.1 Introduction; 7.2 Optimal Two-treatment Designs; 7.2.1 Optimal Designs under Uncorrelated Errors; 7.2.2 Optimal Designs under Correlated Errors; 7.2.3 Optimal Designs under Autoregressive Errors; 7.3 Optimal Designs under Correlated Errors for an Arbitrary Number of Treatments; 7.4 Optimal Designs for Test-Control Comparisons
7.4.1 Optimal Designs with p > t + 17.4.2 Optimal Designs with p = 2; 7.4.3 Optimal Designs with 3 p t +1; 7.5 Optimal Designs with Subject Dropout; 7.6 Some Additional Comments; References; Index
Record Nr. UNINA-9910780805503321
Bose Mausumi  
Singapore ; ; Hackensack, NJ, : World Scientific, c2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Optimal crossover designs [[electronic resource] /] / Mausumi Bose, Aloke Dey
Optimal crossover designs [[electronic resource] /] / Mausumi Bose, Aloke Dey
Autore Bose Mausumi
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2009
Descrizione fisica 1 online resource (238 p.)
Disciplina 519.5/7
Altri autori (Persone) DeyAloke
Soggetto topico Experimental design
Optimal designs (Statistics)
ISBN 1-282-44158-2
9786612441585
981-281-843-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; 1. Introduction; 1.1 Prologue; 1.2 Notation, Terminology and Models; 1.3 Information Matrices; 1.4 Optimality Criteria and Tools; 1.5 Outline of the Book; 2. Optimality of Balanced and Strongly Balanced Designs; 2.1 Introduction; 2.2 Definitions and Some Basic Results; 2.3 Optimality of Balanced Uniform Designs; 2.4 Optimality of Strongly Balanced Designs; 2.5 Some More Optimal Designs; 2.6 Constructions; 3. Some Optimal Designs with p < t; 3.1 Introduction; 3.2 Designs with p t; 3.3 Two-period Designs; 3.4 Optimality of Patterson Designs; 3.5 Constructions
4. Optimal Designs via Approximate Theory4.1 Introduction; 4.2 Notation and Information matrices; 4.3 Quadratic Function for Direct Effects Associated with a Sequence; 4.4 Determining a, b and S; 4.5 Optimality Equations; 4.6 Optimal Symmetric Designs for Direct Effects; 4.7 Optimal Designs for Carryover Effects; 4.8 Design Efficiency; 5. Optimality under Some Other Additive Models; 5.1 Introduction; 5.2 A Model with Self and Mixed Carryover Effects; 5.3 A Model with Carryover Effects Proportional to Direct Effects and Optimal Designs; 6. Optimality under Non-additive Models; 6.1 Introduction
6.2 Correspondence with a Factorial Experiment6.3 Optimality Results; 6.4 Optimality Under a Non-additive Random Subject Effects Model; 6.5 Optimality in the Presence of Higher Order Carryover Effects and Interaction; 7. Some Further Developments; 7.1 Introduction; 7.2 Optimal Two-treatment Designs; 7.2.1 Optimal Designs under Uncorrelated Errors; 7.2.2 Optimal Designs under Correlated Errors; 7.2.3 Optimal Designs under Autoregressive Errors; 7.3 Optimal Designs under Correlated Errors for an Arbitrary Number of Treatments; 7.4 Optimal Designs for Test-Control Comparisons
7.4.1 Optimal Designs with p > t + 17.4.2 Optimal Designs with p = 2; 7.4.3 Optimal Designs with 3 p t +1; 7.5 Optimal Designs with Subject Dropout; 7.6 Some Additional Comments; References; Index
Record Nr. UNINA-9910826428603321
Bose Mausumi  
Singapore ; ; Hackensack, NJ, : World Scientific, c2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui