LEADER 04357nam 2200637 a 450 001 9910457121903321 005 20200520144314.0 010 $a1-282-44158-2 010 $a9786612441585 010 $a981-281-843-X 035 $a(CKB)2550000000000352 035 $a(EBL)477113 035 $a(SSID)ssj0000440461 035 $a(PQKBManifestationID)11295143 035 $a(PQKBTitleCode)TC0000440461 035 $a(PQKBWorkID)10470056 035 $a(PQKB)11266912 035 $a(MiAaPQ)EBC477113 035 $a(WSP)00000433 035 $a(Au-PeEL)EBL477113 035 $a(CaPaEBR)ebr10361455 035 $a(CaONFJC)MIL244158 035 $a(OCoLC)887498031 035 $a(EXLCZ)992550000000000352 100 $a20090219d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOptimal crossover designs$b[electronic resource] /$fMausumi Bose, Aloke Dey 210 $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2009 215 $a1 online resource (238 p.) 300 $aDescription based upon print version of record. 311 $a981-281-842-1 320 $aIncludes bibliographical references (p. 209-222) and index. 327 $aContents; 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 327 $a4. 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 327 $a6.2 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 327 $a7.4.1 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 330 $aThis monograph presents a comprehensive and up-to-date account of the developments in optimality aspects of crossover designs. Crossover designs are immensely useful in various areas of human investigation including agriculture, animal nutrition, clinical trials, pharmaceutical studies, biological assays, weather modification experiments, sensory evaluation of food products and learning experiments. Research on the optimality aspects of crossover designs has developed only in the last three decades, and it has now emerged as a potential field for further investigation. This book is the first c 606 $aExperimental design 606 $aOptimal designs (Statistics) 608 $aElectronic books. 615 0$aExperimental design. 615 0$aOptimal designs (Statistics) 676 $a519.5/7 700 $aBose$b Mausumi$0951706 701 $aDey$b Aloke$0460933 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910457121903321 996 $aOptimal crossover designs$92151504 997 $aUNINA