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Rawlings J.O., Pantula S.G., Dickey D.A. — Applied Regression Analysis: A Research Tool
Rawlings J.O., Pantula S.G., Dickey D.A. — Applied Regression Analysis: A Research Tool

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Название: Applied Regression Analysis: A Research Tool

Авторы: Rawlings J.O., Pantula S.G., Dickey D.A.

Аннотация:

Textbook designed as a supplement to an understanding of statistical concepts for the purpose of employing sophisticated and powerful statistical methods. Emphasizes the drawing of scientific inferences from the regression analysis of data examples.


Язык: en

Рубрика: Математика/Вероятность/Статистика и приложения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: second edition

Год издания: 2001

Количество страниц: 671

Добавлена в каталог: 09.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Addelman, S.      336
Adequacy of the model      146 240 326
Adjusted coefficient of determination      220 222
Adjusted means      314
Adjusted treatment means      298
Afifi, A.A.      220 226 227
Agresti, Alan      510
Ahrenholz, D.W.      96 352 360
AIC criterion      220 225 589
Akaike, H.      225
Alderdice, D.F.      258—262
Allen, D.M.      230
Analysis of cell means      546
Analysis of cell means, unweighted      549
Analysis of cell means, weighted      552
Analysis of covariance      271 294 307
Analysis of variance      7 107
Analysis of variance approach      575 593
Analysis of variance estimators      576
Anderson, R.L.      494
Anderson, T.W.      247
Andrews, D.F.      98 319 395 460
Angle between vectors      191
Anscombe plots      344
Anscombe, F.J.      344 345
Arcsin transformation      404 408
Assumptions, homogeneous variance      325
Assumptions, independent errors      326
Assumptions, normality      325 326
Asymmetric distribution      327
Atkinson, A.C.      342 363
Autocorrelated errors      588
B.L.U.E., best linear unbiased estimators      77 325 443 552
Backward elimination      213 215 467 468
Balanced data, definition      545
Baldwin, K.F.      446 461
Bancroft, T.A.      227
Bartlett's test statistic      293
Bartlett, M.S.      291 398 404 407 409
Basson, R.P.      546
Belsley, D.A.      91 341—343 361 363 364 370 371 373
Bendel, R.B.      220 226 227
Berk, K.N.      209 219 222 373
Bias      210
Biased regression methods      433 434 443 446 466
Biggar, J.W.      395
Biplot, Gabriel's      433 436 442 455 463 466 473 475 476 483
Blom, G.      356
Bloomfield, P.      330 351
Bolch, B.W.      343
Bonferroni joint prediction intervals      143
Bonferroni method      137 172 507
Box — Cox transformation      409 428 509 532 618
Box — Tidwell transformation      400 402
Box, G.E.P.      236 255 328 400 404 409—411
Bradu, D.      439
Brown, R.L.      344
Bunke, O.      231
Cameron, E.      98 319 569
Campbell, F.      446
Carroll, R.J.      335 336 338 509
Carter, R.L.      337
Cell means      546
Centered      256
Centered independent variables      195 434 435 447 471
Central chi-square      117
Characteristic roots      57
Characteristic vectors      57
Clarke, G.P.Y.      501
Class statement      283
Class variables      269—271 545
Cochran, W.G.      vii 197
Coefficient of determination      9 220
Coefficient of variation      203
Cofactor      43
Collinear      433
Collinearity      197 242 256 326 333 369 433 435 443 446 450 463 466 471 478
Collinearity, diagnostics      369
Collinearity, general comments      457
Collinearity, impact of      198
Collinearity, nonessential      370
Column marker      437 442
Complete block design      577
Components of variance      573 575
Composite hypothesis      557
Condition index      371
Condition number      371 473
Confidence ellipsoid      172
Confidence interval estimates      19
Consistent equations      50
Consistent estimator      337
contrast      276 548
Controlled experiments      208
Cook's D      361 362
Cook, J.      337 338
Cook, R.D.      341—343 358 362 370 410
Corrected sum of squares      111
Correction factor      8 110
Correlated errors      29 329
Correlated errors, impact of      329
Correlated residuals      351
Correlation matrix      164 469
Correlation, product moment      50
Correlational structure      434 463 466 471
Corsten, L.C.A.      439
Covariance      11
Covariance of linear functions      13
Covariance, one-way analysis of      592
COVRATIO      361 364
Cox, D.R.      328 404 409 411
Cox, Gertrude M.      301 310
Cramer, H.      78
Critical point      257
Cure, W.W.      492
Daniel, C.      356
Data, algae density–all treatments      265
Data, algae density–one treatment      237 238 241
Data, bacterial growth      512
Data, beer production      245
Data, biomass score      267
Data, blue mold infection      357
Data, cabbage      301 321
Data, calcium uptake      501 502 514
Data, cancer      319 569
Data, chemical response      265
Data, coho salmon      258
Data, collinearity      372 435
Data, colon cancer      98 154
Data, corn borer      316 430 572
Data, corn production      593
Data, dust exposure      22
Data, fishing pressure      95 153 352 354 360
Data, fitness      123 124 128 133 136 138 141 349
Data, Francis      62
Data, Galileo      514
Data, growth      429
Data, Heagle mean ozone      4 33 80 81 95 109 111 118
Data, Heagle ozone plot      144 147
Data, Heagle soybean      411 515 518 531 572
Data, heart rate      30
Data, hospital days      35 95 156
Data, Lauri — Alberg      394 460
Data, Linthurst–five variables      161 211 215 223 227 322 377 463
Data, listening–reading data      292
Data, peak flow      96 152
Data, pine salt tolerance      402 403 427
Data, precipitation      263
Data, Pseudomona dermatis      34
Data, radiation–seed weight      34 95 155 202 348—350 365
Data, renal function      440
Data, sand, silt, clay mix      395 460
Data, soil moisture      511
Data, soil organic matter      93 150
Data, soil phosphorus      310 322
Data, solar radiation      32 203
Data, stolen timber prediction      422 430
Data, temperature–herbicide      318 572
Data, watershed      179 232 428 460
Data,Linthurst–all variables      463 465 482 483
Defining matrix      101—103
Degrees of freedom      8 126 190
Degrees of freedom for a quadratic form      103
Derivative      237
Derivative-free method      497 525
DFBETAS      361 364
DFFITS      361 363
Dickey, D.A.      vii 243 256 581
Dimensionality      184
Distance between two vectors      55
Dixon, W.J.      416 568
Drake, S.      514
Draper, N.R.      255 497
Droge, B.      231
Dummy variables      269 272
Durbin — Watson test for independence      354
Durbin, J.      344 354 631
Effects model      271 546 547
Eigenanalysis      57 435 437 471
Eigenvalues      57 436 437 447
Eigenvectors      57 436 437 447 448
Eisenhart, C.      353
Elimination of variables      207
Equations, consistent      50 51
Equations, inconsistent      50
Equitable distribution property      558 559 561
Erh, E.T.      395
Errors-in-variables model      334
Estimability      545
Estimable      276
Estimable functions      545 546 549 553 554
Estimable functions, general form      554 562 566 598
Estimable functions, properties for balanced data      557
Estimable functions, unbalanced data      558
Estimated generalized least squares      421 508 574 588
Estimated means      80
Estimates, regression coefficient      80
Estimation      206 207
Estimation, least squares      3
Evans, J.M.      344
Experimental designs      92
External Studentization      342
Extrapolation      206 207 256 524
F-statistic      117
F-to-enter      214 226
F-to-stay      214 226
Factoring matrix products      84
Feldstein, M.      337
Fixed effects model      573
Forward selection      213 215
Francia, R.S.      359 633
Francis, C.A.      62 65—67
Freund, R.J.      546 561 568
Full model      126
Fuller, W.A.      330 334—338 351 419 421 494
Furnival, G.M.      210 211 220
Gabriel, K.R.      334 436 439 473
Gallant, A.R.      494 497—501 507—509 538
Galpin, J.S.      344 358
Gauss — Newton method      496
Gauss — Newton method, modified      497
General linear hypothesis      119 308
General linear model      553 596
Generalized inverse      53 75 282 553
Generalized least squares      330 397 411 413 417 418 509 573
Generalized ridge regression estimators      461
Geometry of least squares      183
Gram — Schmidt orthogonalization      74 243
Gray, R.J.      342 358
Graybill, F.A.      78
Grid search      496
Griffiths, W.E.      225
Guarnieri, J.A.      336
Gumpertz, M.L.      585 586
Gunst, R.F.      370 445 457
Hackney, O.P.      546 552 554 559
Hampel, F.R.      326
Harmonic mean      551
Hartley, H.O.      356 497
Hausman, W.H.      37 50 53 55 57
Hawkins, D.M.      344 358 445
Heck, W.W.      492
Hedayat, A.      331 344
Henderson, H.V.      546 562 563 568
Hernandez, F.      409 410
Herzberg, A.M.      98 319 395 460
Heterogeneous variances      328
Heteroscedastic errors      507
High leverage points      330
Hill, R.C.      225
Hocking, R.R.      206 209 220 223 224 274 286 445 546 552 554 559 583 596
Hoerl, A.E.      445 446 461 473
Homogeneity of intercepts      291
Homogeneity of regressions      271 288 306
Homogeneity of slopes      290
Hotelling, H.      138
Householder, A.S.      61
Huang, C.J.      343
Huber, P.J.      326
Hunter, J.S.      236 410
Hunter, W.G.      236 410
Hypothesis, alternative      17
Hypothesis, null      17
Inconsistent      50
Indicator matrix      272
Indicator variables      269 272
Influence statistics      331 361
Influential data points      326 330
Information criteria      220 225
Instrumental variables      337
intercept      2
Inverse of diagonal matrix      46
Iterative reweighted least squares      508
Jackknife residuals      342
Jennrich, R.I.      497
Johnson, R.A.      409 410
Join point      493
Joint confidence intervals      135 172
Joint confidence regions      139 172
Joint prediction regions      142
Judge, G.G.      225
Kennard, R.W.      445 446 461 473
Kennedy, W.J.      227
Kopecky, K.J.      358
Kuh, E.      91 341—343 361 363 364 370 371 373
kurtosis      327
Lack of fit      146 240
Lack-of-fit sum of squares      241
Ladder of transformations      399
Latent roots      57
Latent vectors      57
Leaps-and-bounds algorithm      211
Least squares estimation      3
Least squares means      610
Least squares principle      3 494
Lee, T.      225
Leverage plots      359
Likelihood function      77 588
Likelihood ratio procedure      501
Likelihood ratio tests      589
Linear functions      82
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