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John P. — Statistical Design and Analysis of Experiments (Classics in Applied Mathematics No 22. )
John P. — Statistical Design and Analysis of Experiments (Classics in Applied Mathematics No 22. )

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Название: Statistical Design and Analysis of Experiments (Classics in Applied Mathematics No 22. )

Автор: John P.

Аннотация:

This is a reprint of Peter John classic book on experimental designs originally published by MacMillan but now reprinted by the Society for Industrial and Applied Mathematics in their Classics in Applied Mathematics series. The book was written in 1971 and there have been many changes in philosophy for experimental designs since then. Also the revolution in computing has had an influence. In his "Preface to the Classics Edition" John reflects on the state of computing in 1966 when he first contracted to write the book and 1998 when the book was reprinted. He also describes the history of experimental design and extends it to the advances of Taguchi. It was industrial applications that attracted John to do research in experimental designs and he see industry as a rich source for design problems. The text covers all the classical design work with examples from agriculture and industry. It has heavy coverage of incomplete block designs and in Chapter 13 he demonstrates how to construct the various balanced incomplete block designs. There is a lot of theory. Although the title says design and analysis it is primarily a book on designs. Response surface methods and the evolutionary operation approach are also covered....


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 381

Добавлена в каталог: 05.04.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Addelman, S.      178 184 187 339
Adding fractions      167
Adjusted block totals      230
Adjusted treatment totals      230
Aia, M.A.      205 213 339
Aitken, A.C.      31 339
Alias set      150
Alias subgroup      150
Allan, R.E.      60 339
Analysis of covariance      60—64
Anderson, R.L.      145 340
Approximations for distributions, F test in three-way layout      92—94
Approximations for distributions, t test with unequal variances      6
Association matrices      314
Association schemes      see "Partially balanced association schemes"
Atiqullah, M.      245 283 339
Autrey, K.M.      117 342
Balanced incomplete block designs      220 268—87
Balanced incomplete block designs, combined estimates      235—242
Balanced incomplete block designs, efficiency of      225 247
Balanced incomplete block designs, incidence matrix of      220 269
Balanced incomplete block designs, interblock estimates      234
Balanced incomplete block designs, intrabiock analysis      223
Balanced incomplete block designs, orthogonal series of      221 270
Balanced incomplete block designs, resolvable      226
Balanced incomplete block designs, symmetric designs      220 269 276—277 281—283
Balanced incomplete block designs, unreduced designs      270 307
Balanced lattices      240 307
Bancroft, T.A.      240 344
Banerjee, K.S.      28 339
Baumert, L.      184 339
Behnken, D.W.      199 341
Bennett, C.A.      96 339
Bhattacharya, K.N.      277 282 285 292 295 298 299 323 339 340
Binary designs      227
Binet, F.E.      145 340
Block intersection      281
Block section      281
Blocking factors      158
Bose, R.C.      10 24 111 114 144 178 221 223 227 249 250 252 256 265 269 281 282 283 285 286 288 291 292 293 294 295 298 299 300 301 310 312 314 315 316 323 340 341
Box, G.E.P.      14 46 150 151 193 194 197 199 211 213 214 341
Brownlee, K.A.      139 341
Bruck, R.H.      114 341
Bulmer, M.G.      54 341
Burman, J.P.      172 178 184 347
Burton, R.C.      139 140 341
Bush, K.A.      178 340
Calvin, L.C.      287 341
Cannon, C.Y.      117 342
Canonical equations      208—209 211—212
central composite designs      204
Chandrasekhararao, K.      319 347
Chang, L.C.      301 305 308 309 341
Change-over designs      115—121
Checks in calculations      47 see
Chowla, S.      269 276 283 341
Classification of fractional factorials      151
Clatworthy, W.H.      252 265 288 298 301 304 305 306 307 312 314 315 316 340 341 342
Cochran's theorem      33 71
Cochran, W.G.      6 33 117 341 342
Combined intrablock and interblock estimates      235—245
Combined intrablock and interblock estimates in partially balanced designs      259—260
Combined intrablock and interblock estimates, computational formulae      238—242
Combined intrablock and interblock estimates, maximum likelihood estimates (Rao)      242—245
Combining ability      see "Diallel cross experiments"
Complementary designs      270
Completely randomized experiment      41—45
Components of variance, confidence intervals for      54
Computer programs, use of      102—103
Confounding      12 132—245
Confounding in $2^{n}$ designs      133—143
Confounding in $3^{n}$ designs      143
Confounding in $4^{n}$ designs      144—145
Confounding in fractional factorials      158
Confounding in other designs      145
Confounding with factors at more than three levels      144—45
Confounding, partial confounding      134—135
Connected designs      233
Connor, W.S.      139 140 181 190 252 281 283 292 293 301 304 314 315 340 341 342
Cornfield, J.      78 342
Covariance, analysis of      60—64
Cox, G.M.      6 342
Craig, A.T.      31 342
Cross polytope      204
Cuboctahedron      199
Curnow, R.N.      262 342 345
Cyclic designs      266—267 275—287 322—326
Cyclic designs, generalized      324—326
Dairy cattle, experiments with      115—121
Daniel, C.      149 151 154 155 342
David, H.A.      322 323 326 342
Davies, O.L.      194 213 342
Dead factors      160
Dead subscripts      97
Deal, R.B.      242 343
Debaun, R.      199 218 342
Defining contrast      134
Defining contrast subgroup      137 139—140 150
Degree of freedom efficiency      155
Degrees of freedom, calculation in multifactorial experiments      97
Derivation      see "Block Intersection"
Diallel cross experiments      81—84 262—265
Difference sets      275
Dishwashing      226
Double confounding      140—143
Draper, N.R.      21 213 342
Duality      290—291
Duncan's multiple range test      45
Duncan, D.B.      45 342
Effects, fixed      11
Effects, main      10
Effects, random      11
Efficiency of fractional factorials      155
Efficiency of incomplete block designs      10 225 246—247 266
Elementary symmetric designs      291—292
Equireplicate designs      228
Estimable functions      24
Euler's conjecture      114
Evolutionary operation      213
Evolutionary operation, calculations for      214—217
Expected mean squares, general rules for deriving      96—98
Expected mean squares, multi-factor crossed classification      90—91
Extended incomplete block designs      248
F test, approximation      92—94
F test, bias in with missing plots      60
F test, power of      7 44 53
Factorial experiments      10
Federer, W.T.      45 260 261 342 345
Finite projective geometries      271—274 300 310—312
Finney, D.J.      12 148 175 178 193 342 343
First order designs      194—196
Fisher's Inequality      221 269
Fisher, R.A.      2 4 136 180 221 265 268 269 282 343
Five—letter plans      151
Foldover designs      156—157 173—174
for $3^{n}$ design      130
Four—letter plans      151
Fox, M.      8 44 343
Fractional factorial designs      12 148—192
Franklin, N.J.      96 339
Freeman, G.H.      292 295 297 343
Fundamental theorems of difference      277—280
Fundamental theorems of difference for group divisible designs      299—300
Fyfe, J.L.      262 343
Gardner, D.A.      213 343
Gauss — Markoff theorem      34—35
Gilbert, N.      262 343
Goldsmith, R.L.      205 213 339
Golomb, S.W.      184 339
Good, I.J.      128 343
Graeco-latin squares      110
Graeco-Latin squares as fractional factorials      111 148 178 179 189 191—192
Grandage, A.H.E.      213 343
Graybill, F.A.      8 27 28 76 230 238 242 343
Grilling, B.      81 262 343
Group divisible designs      252—254 292—301
Group divisible designs in partial diallel cross      264
Group divisible designs, classification      252 293
Group divisible designs, intrablock analysis      253—254
Group divisible designs, regular      295—301
Group divisible designs, semiregular      293—295
Group divisible designs, singular      293
Group representation in $2^{n}$ designs      136
Grundy, P.M.      142 343
Hademard matrices      185
Hademard product of vectors      173
Hader, R.J.      213 343
Half-plaid squares      142
Hall, M.Jr.      184 277 281 283 304 339 343
Hammersley, J.M.      54 343
Hanani, H.      283 343 344
Hartley, H.O.      8 44 47 205 216 277 344 346 348
Healy, M.J.R.      142 175 343 344
Hexagon design      207
Hierarchic designs      see "Nested designs"
Hill, W.J.      194 344
Hoffman, A.J.      301 344
Hotelling, H.      31 172 344
Hunter, J.S.      122 150 151 194 197 199 203 214 341 344 350
Hunter, W.G.      194 344
Hyper-Graeco-Latin squares      111
Hyper-Graeco-Latin squares as fractional factorials      111 148
Idempotent matrices      15 31 335
Incident matrix      see "Incomplete block designs"
Incomplete block designs      9 219—328
Incomplete block designs, efficiency of      10 225 247 266 289
Incomplete block designs, incidence matrix of      220 269 289
Incomplete block designs, interblock analysis      233—235
Incomplete block designs, intrablock analysis      228—233 see "Partially
Interaction in two-way layout      70—80
Interaction in two-way layout, single degree of freedom for      76
Interblock estimates      233—235
Intrablock analysis      228—233
Intrablock analysis, balanced incomplete block designs      223—226
Intrablock analysis, general balanced design      228—233 245—247
Intrablock analysis, group divisible designs      253—254
Intrablock analysis, PBIB designs      256—259
Intrablock subgroup      138
James, E.      240 344
James, G.S.      28 344
John, J.A.      266 322 323 326 344
John, P.W.M.      28 139 161 163 165 167 170 192 226 246 248 320 344
Johnson, J.D.      321 344
Kapadia, C.H.      259 345
Kelly, B.K.      139 341
Kempthorne's conjecture      10 247 265 289
Kempthorne, O.      5 8 10 27 78 81 109 187 189 230 247 260 261 262 265 289 322 339 345
Keuls, M.      45 345
Kishen, K.      144 172 340 345
Kruskal, W.H.      46 345
Laha, R.G.      290 347
Lancaster, H.O.      28 31 345
Latin rectangles      142—143
Latin square designs      12 105—121
Latin square designs, analysis of      106—107
Latin square designs, limitations of      108—109
Latin square designs, use as fractional factorials      107
Latin squares      105—121
Latin squares, experiments using several      114—121
Latin squares, orthogonal sets      111—114 221—222 270
Lattice designs      240 260—262 271 307
Least significant difference      44 226
Legendre symbol      185 276
Leslie, R.T.      145 340
Linear models      18
Linked block designs      290—291 302—303 312
Linked block designs, singly linked blocks      291 302 312
Linked block designs, triangular doubly linked blocks      303
Liu, C.W.      301 309 341
Liu, W.R.      301 305 308 309 341
Live factors      160
Live subscripts      97
Loraine, P.K.      139 341
Lucas, H.L.      117 345
Madow, W.G.      33 345
Main effects      10 42 67 125
Main effects clear plans      151
Main effects only designs      151
Margolin, B.H.      160 172 173 174 190 345
Marsaglia, G.      28 343
Matrices, idempotent      15 31 335
Measure polytope      204
Mesner, D.M.      256 306 312 316 340 345
Mikhail, W.F.      227 345
Miller, R.G.Jr.      45 46 346
Minimal designs of resolution IV      173
Missing plot formulae      37
Missing plot formulae, $2^{n}$ designs      146
Missing plot formulae, Latin square designs      121
Missing plot formulae, randomized complete block design      59
Mixed models      10 77—80
Mood, A.M.      172 346
Mooney, R.W.      205 213 339
Motorcycle racing      222
Multiple comparisons      44—47
Murty, V.N.      227 346
Nair, K.R.      10 223 250 251 288 300 316 340 346
Nandi, H.K.      283 346
National Bureau of Standards      158 181 190 346
Nelder, J.A.      160 346
Nested designs      80 103
Nested factors      94
Nested fractions      170—172
Newman — Keuls test      45
Newman, D.      45 346
Neyman, J.      105 346
Noncentral x2 distribution      30—31
Octagonal designs      203 208
octahedron      199
Ogawa, J.      31 305 346
Omitting $2^{n-k}$ fractions      161
Optimal designs      195
orthogonal arrays      178
Orthogonal blocking      206—208
Orthogonal Latin squares, sets of      111—114 221—222 270
Orthogonal Latin squares, sets of, construction of      111—114
Orthogonal main effects plans      184
Orthogonal polynomials      50
Orthogonal response surface designs      197
Orthogonality of factors in two-way layout      68—70
Paley, R.E.A.C.      185 346
Parker, E.T.      114 341
Partial confounding      134
Partial geometry      311
Partially balanced association schemes      250
Partially balanced association schemes, $L_{i}(n,m)$      327
Partially balanced association schemes, $T_{n}(m)$      320
Partially balanced association schemes, cubic      319
Partially balanced association schemes, cyclic      255 315
Partially balanced association schemes, group divisible      252 292—301
Partially balanced association schemes, hierarchic GD      317
Partially balanced association schemes, Latin square      255 305—308
Partially balanced association schemes, LS3      321
Partially balanced association schemes, negative Latin square      256 306 312
Partially balanced association schemes, rectangular      318
Partially balanced association schemes, triangular      254 301—305 320
Partially balanced incomplete block designs      10 223 250—267 288—328 see
Partially balanced incomplete block designs, choice of      266
Partially balanced incomplete block designs, combined estimates      259
Partially balanced incomplete block designs, intrablock analysis      256
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