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| Авторизация |
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| Rawlings J.O., Pantula S.G., Dickey D.A. — Applied Regression Analysis: A Research Tool |
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| Предметный указатель |
Linear functions, mean of 86
Linear functions, variance of 86
Linear transformation 83
Linear-by-linear interaction 253
Linearly dependent 197
Linearly independent 38 48 50
Linthurst, R.A. 161
Littell, R.C. 546 561 568
Logistic regression 509
Logit transformation 404 492 510
Lott, W.F. 445
LSMEANS 314 564 567 584 595
Lynn, M.J. 445
MacDonald, G.M. 358
Madansky, A. 336
Mallow's  220 223
Mallows, C.L. 206 223 224
Marquardt's compromise 497
Marquardt, D.W. 370 373 377 445 446 497
Mason, R.L. 445 457
Matrix 37
Matrix addition 40
Matrix determinant 42 57
Matrix full rank 38 79 273
Matrix identity 39
Matrix multiplication 40
Matrix P 80
Matrix row operations 51
Matrix transpose 40
Matrix, column space of 39
Matrix, decomposition of 58
Matrix, diagonal 39
Matrix, elements of 38
Matrix, generalized inverse 53
Matrix, idempotent 55 80
Matrix, inverse 44 79
Matrix, nonnegative definite 60 105
Matrix, nonsingular 38 44
Matrix, not of full rank 273
Matrix, order of 38
Matrix, projection 55 80 187 331
Matrix, rank of 38 58 184
Matrix, real 57
Matrix, singular 38 44
Matrix, square 39
Matrix, symmetric 40 56 57
Matrix, transpose of product 42
Matrix, variance–covariance 82
Maximum likelihood estimator 77 325 410 507 508 573 574 588
Maximum R-square 467
mci, multicollinearity index 371 473
Mean square 108
Mean square error of prediction 228
Mean square expectations 10
Mean squared error 209 443
Means model 271 274 286 546
Measurement error 29
Miller, Jr., R.G. 138
Milliken, G.A. 564
Minimum variance property 328
Minor 43
Mixed model analysis 615
Mixed models 573 574 615
Model validation 228
Model, autocatalytic growth 490
Model, autoregressive 588
Model, Bertalanffy's 491
Model, centered 33
Model, exponential decay 405 487
Model, exponential growth 405 487 495
Model, first-order autoregressive 419
Model, fixed effects 573
Model, full rank 75 76
Model, general mixed linear 586
Model, Gompertz growth 490 491
Model, intrinsically linear 405 487
Model, intrinsically nonlinear 2 487
Model, inverse polynomial 406 490
Model, linear 2
Model, logistic growth 406 490 491 510
Model, Mitscherlich 489 511
Model, mixed 573 574 579 593
Model, monomolecular growth 428 489 491
Model, no intercept 21
Model, nonlinear 2 398 485 486
Model, one-way 271
Model, p independent variables 75
Model, polynomial response 406
Model, random 574 586
Model, random coefficient regression 584 587
Model, segmented polynomial 493
Model, split-plot 579 587 591
Model, two-level nested 590
Model, two-term exponential 488 502 511
Model, two-way cross-classified 590 591
Model, Weibull 428 492 504 512 515 524 534
Model,two-way with covariate 295
Mombiela, R.A. 489
Mosteller, R. 399
MSE, mean squared error 443 446
Multicollinearity index 371
Multicollinearity problem 240
Multivariate normal distribution 86
Mutually independent 86
Myers, R.H. 568
Near-singularity 433
Nelder, J.A. 490
Nelson, L.A. 316
Nelson, W.R. 95 352 360
Nested models 132
Newton — Raphson method 588
NID 3
Nielsen, D.R. 395
Noncentral chi-square 116 117
Noncentrality parameter 116 117
Nonestimable 273 276 548
Nonestimable functions 276
Nonlinear models 332 485 486
Nonnormality 327 398
Nonnormality, impact of 327
Nonnormality, tests for 358
Nonunique solution 273
Normal equations 4 78
Normal order statistics 356
Normal plot 327
Normal plot, interpretation 357
Normality 77 325 326
Normality, not required for least squares estimation 77
Norusis, M.J. 568
Observational data 177 463
Odds ratio 510
One-way analysis of variance model 575
Order statistics 356
Ordinary least squares 325 413 467
Orthogonal 209
Orthogonal polynomial coefficients 106
Orthogonal polynomials 242
Orthogonal quadratic forms 104
Orthogonal transformations 54
Orthogonality property 558 559 561
Outlier 326 330 348
Outlier in the residuals 331
Over-defined model 503
Overparameterized 273
Pantula, S.G. 585 586 588
PARAMETER 2
Parameter effects curvature 501
Park, S. H. 446
Partial hypotheses 554 559
Partial regression coefficient 76
| Partial regression leverage plots 359 400
Partial sum of squares 122 130 131 134 560
Pauling, L. 98 319 569
Pearson, E.S. 356
Pennypacker, S.P. 492
Pharos Books 263
Pierce, D.A. 342 358
Pollock, K.H. 588
Polynomial models 132 235 236 250 400 485 515 520
Polynomial models, cubic 239
Polynomial models, degree of 250
Polynomial models, first degree 250 251
Polynomial models, higher order 236 251
Polynomial models, interaction term 252
Polynomial models, order of 250
Polynomial models, risk of over fitting 256
Polynomial models, second degree 252 253 520
Polynomial models, second-order 236
Polynomial models, third degree 255
Population marginal means 564 566 610
Potentially influential 331
Power family of transformations 399 408
Power of a test 118
Precision, measures of 11
Predicted values 6
Prediction 6 90 175 176 206 207 249
Prediction error 14
Prediction interval 136 176
Prescott, P. 342 343
PRESS statistic 230
Principal component 436 438 447 471 473 475 476
Principal component analysis 61 64 433 447 455 463 466 471 479 482 483
Principal component regression 433 445 446 450 455 463 466 476 479 483
Principal component regression estimates 451
Principal component scores 64
Principal components 64
Principle of parsimony 220
Prior information 250
Probability density function 77 86 87
probability distribution 115
Probit analysis 492
Probit transformation 404
Problem areas, collinearity 326
Problem areas, influential data points 326
Problem areas, misspecified model 326
Problem areas, near-linear dependencies 326
Problem areas, outliers 326
PROC GLM 283 581
Proc Mixed 588 589
PROC REG 211
Product moment correlation 50
Projection 55 186 187 437
Pure error 143 146 241
Pure error sum of squares 241
Pythagorean Theorem 47 189
Q, hypothesis sum of squares 120 126
Quadratic forms 101 102
Quadratic forms, distribution of 115
Quadratic forms, expectations of 113
Quadratic model 236
Quantitative variables as class variables 270
Quesenberry, C.P. 343 344
R-notation 129
Ralston, M.L. 497
RANDOM statement 581 583 607
Random vectors 77 82 86
Random vectors, linear functions of 82
Random vectors, linear transformation 83
Randomized complete block design 577 579 593
Rao, C.R. 53 55
Rawlings, J.O. 440 492
Recursive residuals 343 344
Reduced model 126
Reference cell model 280
Regression coefficients, properties of 87
Regression diagnostics 341
Regression sum of squares 110
Regression through the origin 21
Relative efficiency 420
REML 589
Reparameterize 192 198 244 273
Residual 3 6 7
Residual mean square 220 222
Residuals vector 81 187
Response curve modeling 249
Restricted maximum likelihood 573 574 589 616
Ridge regression 445 446 461
Riggs, D.S. 336
Riviere, J.S. 440
Robson, D.S. 331 344
Robust regression 326
Rohlf, F.J. 356
Ronchetti, E.M. 326
Rousseeuw, P.J. 326
Row marker 438 442
RSQUARE method 211
RSTUDENT 342
Runs test 353
Runs test, normal approximation 353
Ruppert. D. 335 336 338 509
Saeed, M. 62 65—67
Sample-based selection 209
SAS Institute, Inc. 165 211 215 219 220 232 243 255 283 311 342 343 379 391 417 424 467 502 510 520 525 536 546 553 559 564 566 583 588 596 597 615
Satterthwaite approximation 582 592 609 616
Satterthwaite option 616
Satterthwaite, F.E. 582 592
SBC criterion 220 225 589
scalar 39
Scalar multiplication 42
Scaled independent variables 434 435 447 471
Schefe joint prediction intervals 143
Schefe method 138 172 507
Scheffe, H. 138 575
Schwarz, G. 225
Searle, S.R. 17 37 50 53 55 57 78 86 105 113 115 120 280 282 546 562—564 568 581
Second-degree polynomial model 250
Sequential hypotheses 554 559
Sequential sum of squares 131 132 197 559
Shapiro — Francia test for normality 359
Shapiro, S.S. 359 633
Shy-Modjeska, J.S. 440 443
Significance level to enter 214
Significance level to stay 214
SIMEX estimator 337
Simultaneous confidence statements 137
Singular value decomposition 61 435 437 447 471
Singular values 61
Singular vectors 61 63
Skewness coefficient 327
slope 2
Smith, H. 446 497
Snedecor, G.W. vii
Snee, R.D. 230 370 373 446
Sokal, R.R. 356
Space 184
Space, n-dimensional 184
Spatial relationship 54
Spector, P.C. 546 561 568
Speed, F.M. 445 546 552 554 559 564 583
Split-plot design 579 593
SS(Model) 108
SS(Regr) 110 451
SS(Res) 108
Stahel, W.A. 326
Standardized residual 342
Steel, R.G.D. vii 243 256 581
Steepest descent method 497
Stefanski, L.A. 335—338
Stein shrinkage 445
Stein, C.M. 445
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