05767nam 2200745Ia 450 991014356100332120220805225959.01-280-27549-997866102754960-470-32269-10-471-70994-80-471-70993-X(CKB)1000000000355588(EBL)228462(OCoLC)77523194(SSID)ssj0000971069(PQKBManifestationID)11514194(PQKBTitleCode)TC0000971069(PQKBWorkID)10928955(PQKB)10399839(SSID)ssj0000137135(PQKBManifestationID)11139245(PQKBTitleCode)TC0000137135(PQKBWorkID)10088122(PQKB)11217195(MiAaPQ)EBC228462(PPN)263349853(EXLCZ)99100000000035558819930520d2005 uy 0engur|n|---|||||txtccrDesign and analysis of experimentsVolume 2Advanced experimental design[electronic resource] /Klaus Hinkelmann, Oscar KempthorneHoboken, NJ Wiley20051 online resource (812 p.)Wiley series in probability and mathematical statistics. Applied probability and statisticsKempthorne's name appears first on previous ed.0-471-55177-5 Includes bibliographical references and indexes.Design and Analysis of Experiments; Contents; Preface; 1 General Incomplete Block Design; 1.1 Introduction and Examples; 1.2 General Remarks on the Analysis of Incomplete Block Designs; 1.3 The Intrablock Analysis; 1.3.1 Notation and Model; 1.3.2 Normal and Reduced Normal Equations; 1.3.3 The C Matrix and Estimable Functions; 1.3.4 Solving the Reduced Normal Equations; 1.3.5 Estimable Functions of Treatment Effects; 1.3.6 Analyses of Variance; 1.4 Incomplete Designs with Variable Block Size; 1.5 Disconnected Incomplete Block Designs; 1.6 Randomization Analysis; 1.6.1 Derived Linear Model1.6.2 Randomization Analysis of ANOVA Tables1.7 Interblock Information in an Incomplete Block Design; 1.7.1 Introduction and Rationale; 1.7.2 Interblock Normal Equations; 1.7.3 Nonavailability of Interblock Information; 1.8 Combined Intra- and Interblock Analysis; 1.8.1 Combining Intra- and Interblock Information; 1.8.2 Linear Model; 1.8.3 Normal Equations; 1.8.4 Some Special Cases; 1.9 Relationships Among Intrablock, Interblock, and Combined Estimation; 1.9.1 General Case; 1.9.2 Case of Proper, Equireplicate Designs; 1.10 Estimation of Weights for the Combined Analysis1.10.1 Yates Procedure1.10.2 Properties of Combined Estimators; 1.11 Maximum-Likelihood Type Estimation; 1.11.1 Maximum-Likelihood Estimation; 1.11.2 Restricted Maximum-Likelihood Estimation; 1.12 Efficiency Factor of an Incomplete Block Design; 1.12.1 Average Variance for Treatment Comparisons for an IBD; 1.12.2 Definition of Efficiency Factor; 1.12.3 Upper Bound for the Efficiency Factor; 1.13 Optimal Designs; 1.13.1 Information Function; 1.13.2 Optimality Criteria; 1.13.3 Optimal Symmetric Designs; 1.13.4 Optimality and Research; 1.14 Computational Procedures1.14.1 Intrablock Analysis Using SAS PROC GLM1.14.2 Intrablock Analysis Using the Absorb Option in SAS PROC GLM; 1.14.3 Combined Intra- and Interblock Analysis Using the Yates Procedure; 1.14.4 Combined Intra- and Interblock Analysis Using SAS PROC MIXED; 1.14.5 Comparison of Estimation Procedures; 1.14.6 Testing of Hypotheses; 2 Balanced Incomplete Block Designs; 2.1 Introduction; 2.2 Definition of the BIB Design; 2.3 Properties of BIB Designs; 2.4 Analysis of BIB Designs; 2.4.1 Intrablock Analysis; 2.4.2 Combined Analysis; 2.5 Estimation of ρ; 2.6 Significance Tests2.7 Some Special Arrangements2.7.1 Replication Groups Across Blocks; 2.7.2 Grouped Blocks; 2.7.3 α-Resolvable BIB Designs with Replication Groups Across Blocks; 2.8 Resistant and Susceptible BIB Designs; 2.8.1 Variance-Balanced Designs; 2.8.2 Definition of Resistant Designs; 2.8.3 Characterization of Resistant Designs; 2.8.4 Robustness and Connectedness; 3 Construction of Balanced Incomplete Block Designs; 3.1 Introduction; 3.2 Difference Methods; 3.2.1 Cyclic Development of Difference Sets; 3.2.2 Method of Symmetrically Repeated Differences; 3.2.3 Formulation in Terms of Galois Field Theory3.3 Other MethodsA comprehensive overview of experimental design at the advanced level The development and introduction of new experimental designs in the last fifty years has been quite staggering and was brought about largely by an ever-widening field of applications. Design and Analysis of Experiments, Volume 2: Advanced Experimental Design is the second of a two-volume body of work that builds upon the philosophical foundations of experimental design set forth half a century ago by Oscar Kempthorne, and features the latest developments in the field. Volume 1: An Introduction to Experimental Design intrWiley series in probability and mathematical statistics.Applied probability and statistics.Experimental designMathematical statisticsExperimental design.Mathematical statistics.001.4/34001.434519.5Hinkelmann Klaus1932-898119Kempthorne Oscar14458MiAaPQMiAaPQMiAaPQBOOK9910143561003321Design and analysis of experiments2006658UNINA