LEADER 05767nam 2200745Ia 450 001 9910143561003321 005 20220805225959.0 010 $a1-280-27549-9 010 $a9786610275496 010 $a0-470-32269-1 010 $a0-471-70994-8 010 $a0-471-70993-X 035 $a(CKB)1000000000355588 035 $a(EBL)228462 035 $a(OCoLC)77523194 035 $a(SSID)ssj0000971069 035 $a(PQKBManifestationID)11514194 035 $a(PQKBTitleCode)TC0000971069 035 $a(PQKBWorkID)10928955 035 $a(PQKB)10399839 035 $a(SSID)ssj0000137135 035 $a(PQKBManifestationID)11139245 035 $a(PQKBTitleCode)TC0000137135 035 $a(PQKBWorkID)10088122 035 $a(PQKB)11217195 035 $a(MiAaPQ)EBC228462 035 $a(PPN)263349853 035 $a(EXLCZ)991000000000355588 100 $a19930520d2005 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDesign and analysis of experiments$hVolume 2$iAdvanced experimental design$b[electronic resource] /$fKlaus Hinkelmann, Oscar Kempthorne 210 $aHoboken, NJ $cWiley$d2005 215 $a1 online resource (812 p.) 225 1 $aWiley series in probability and mathematical statistics. Applied probability and statistics 300 $aKempthorne's name appears first on previous ed. 311 $a0-471-55177-5 320 $aIncludes bibliographical references and indexes. 327 $aDesign 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 Model 327 $a1.6.2 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 Analysis 327 $a1.10.1 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 Procedures 327 $a1.14.1 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 ?; 2.6 Significance Tests 327 $a2.7 Some Special Arrangements2.7.1 Replication Groups Across Blocks; 2.7.2 Grouped Blocks; 2.7.3 ?-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 Theory 327 $a3.3 Other Methods 330 $aA comprehensive overview of experimental design at the advanced level The development and introduction of new experimental designs in the last fifty years has been quite staggering and was brought about largely by an ever-widening field of applications. Design and Analysis of Experiments, Volume 2: Advanced Experimental Design is the second of a two-volume body of work that builds upon the philosophical foundations of experimental design set forth half a century ago by Oscar Kempthorne, and features the latest developments in the field. Volume 1: An Introduction to Experimental Design intr 410 0$aWiley series in probability and mathematical statistics.$pApplied probability and statistics. 606 $aExperimental design 606 $aMathematical statistics 615 0$aExperimental design. 615 0$aMathematical statistics. 676 $a001.4/34 676 $a001.434 676 $a519.5 700 $aHinkelmann$b Klaus$f1932-$0898119 701 $aKempthorne$b Oscar$014458 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910143561003321 996 $aDesign and analysis of experiments$92006658 997 $aUNINA