Knowledge

Combinatorics of Experimental Design

Source đź“ť

83:
After this standard material, the remaining two chapters cover less-standard material. The penultimate chapter covers miscellaneous types of designs including circular block designs, incomplete Latin squares, and serially balanced sequences. The final chapter describes specialized designs for
143:
makes the combinatorial aspects of the subjects more accessible to statisticians, and its last two chapters contain material not covered by the other books. However, it omits several other topics that were included in Rao's more comprehensive text.
111:
Although disappointed by the omission of some topics, reviewer D. V. Chopra writes that the book "succeeds remarkably well" in connecting the separate worlds of combinatorics and statistics. And
92:
Although intended as an advanced undergraduate textbook, this book can also be used as a graduate text, or as a reference for researchers. Its main prerequisites are some knowledge of
84:
agricultural applications. The coverage of the topics in the book includes examples, clearly written proofs, historical references, and exercises for students.
192: 60:
The book has 15 chapters. Its introductory chapter covers the history and applications of experimental designs, it has five chapters on
69: 61: 355: 360: 345: 340: 266: 112: 350: 154: 45: 73: 80:, symmetric and asymmetric factorial designs, and partially balanced incomplete block designs. 25: 321: 312: 250: 8: 37: 284: 275: 209: 246: 201: 101: 317: 77: 49: 93: 41: 334: 159: 105: 33: 97: 65: 288: 213: 115:, reviewing the book, called it "very readable" and "very satisfying". 29: 205: 129:
Constructions and Combinatorial Problems in Design of Experiments
123:
Other books on the combinatorics of experimental design include
241: 332: 193:Journal of the American Statistical Association 125:Statistical Design and Analysis of Experiments 137:Combinatorial Theory and Statistical Design 16:Who is Sumit Kumar Das as known as biju das 28:, a subject that connects applications in 87: 230: 228: 226: 224: 222: 139:(Constantine, 1987). Compared to these, 135:(Beth, Jungnickel, and Lenz, 1985), and 186:Iyer, Hari K. (March 1989), "Review of 333: 301: 299: 297: 261: 259: 181: 179: 177: 175: 219: 308:Combinatorics of Experimental Design 306:Notz, William I. (1988), "Review of 305: 271:Combinatorics of Experimental Design 269:(January–February 1989), "Review of 265: 237:Combinatorics of Experimental Design 188:Combinatorics of Experimental Design 185: 141:Combinatorics of Experimental Design 21:Combinatorics of Experimental Design 294: 256: 172: 13: 234: 64:and their existence, and three on 36:. It was written by mathematician 14: 372: 70:mutually orthogonal Latin squares 62:balanced incomplete block designs 118: 44:, and published in 1987 by the 40:and her daughter, statistician 1: 165: 7: 147: 100:, but some topics touch on 10: 377: 235:Chopra, D. V., "Review of 155:The Design of Experiments 55: 34:combinatorial mathematics 74:resolvable block designs 72:. Other chapters cover 46:Oxford University Press 356:1987 non-fiction books 88:Audience and reception 361:Clarendon Press books 346:Mathematics textbooks 341:Design of experiments 26:design of experiments 24:is a textbook on the 313:Mathematical Reviews 38:Anne Penfold Street 276:American Scientist 267:Hall, Marshall Jr. 32:to the theory of 368: 351:Statistics books 325: 324: 303: 292: 291: 263: 254: 253: 232: 217: 216: 183: 102:abstract algebra 376: 375: 371: 370: 369: 367: 366: 365: 331: 330: 329: 328: 304: 295: 264: 257: 233: 220: 206:10.2307/2289885 184: 173: 168: 150: 121: 90: 78:finite geometry 58: 50:Clarendon Press 17: 12: 11: 5: 374: 364: 363: 358: 353: 348: 343: 327: 326: 293: 255: 218: 170: 169: 167: 164: 163: 162: 149: 146: 127:(John, 1971), 120: 117: 94:linear algebra 89: 86: 57: 54: 42:Deborah Street 15: 9: 6: 4: 3: 2: 373: 362: 359: 357: 354: 352: 349: 347: 344: 342: 339: 338: 336: 323: 319: 315: 314: 309: 302: 300: 298: 290: 286: 282: 278: 277: 272: 268: 262: 260: 252: 248: 244: 243: 238: 231: 229: 227: 225: 223: 215: 211: 207: 203: 199: 195: 194: 189: 182: 180: 178: 176: 171: 161: 160:Ronald Fisher 157: 156: 152: 151: 145: 142: 138: 134: 133:Design Theory 131:(Rao, 1971), 130: 126: 119:Related books 116: 114: 113:Marshall Hall 109: 107: 106:number theory 103: 99: 98:linear models 95: 85: 81: 79: 75: 71: 67: 66:Latin squares 63: 53: 51: 47: 43: 39: 35: 31: 27: 23: 22: 311: 307: 280: 274: 270: 240: 236: 200:(405): 333, 197: 191: 187: 153: 140: 136: 132: 128: 124: 122: 110: 91: 82: 59: 48:under their 20: 19: 18: 158:(1935), by 335:Categories 251:0622.05001 166:References 30:statistics 283:(1): 91, 108:as well. 52:imprint. 289:27855619 148:See also 322:0908490 214:2289885 320:  287:  249:  242:zbMATH 212:  56:Topics 285:JSTOR 210:JSTOR 104:and 96:and 68:and 310:", 273:", 247:Zbl 239:", 202:doi 190:", 337:: 318:MR 316:, 296:^ 281:77 279:, 258:^ 245:, 221:^ 208:, 198:84 196:, 174:^ 76:, 204::

Index

design of experiments
statistics
combinatorial mathematics
Anne Penfold Street
Deborah Street
Oxford University Press
Clarendon Press
balanced incomplete block designs
Latin squares
mutually orthogonal Latin squares
resolvable block designs
finite geometry
linear algebra
linear models
abstract algebra
number theory
Marshall Hall
The Design of Experiments
Ronald Fisher




Journal of the American Statistical Association
doi
10.2307/2289885
JSTOR
2289885

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑