Graybill F.A., Iyer H.K. — Regression Analysis :: Электронная библиотека попечительского совета мехмата МГУ

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Graybill F.A., Iyer H.K. — Regression Analysis

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Название: Regression Analysis

Авторы: Graybill F.A., Iyer H.K.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Количество страниц: 700

Добавлена в каталог: 21.05.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

absorpt.dat      614
Adequate predictor      182 183 295
Adj-      507 509
Adj- $\rho^2$       302
agebp.dat      167 181 189
agel8.dat      290 307 343 344 546
All-subsets regression      504
All-subsets regression, Adj-      507 509
All-subsets regression, C,      508 509
All-subsets regression, R-square       506 509
All-subsets regression, root mean square (s)      506 509
Analysis of variance      178 283
arsenic.dat      122 164 174
assay.dat      479 480
Assumptions A and B      109 110 111 232 233 293 310
babywt.dat      497
ballbear.dat      482
Basic observable variables      221
Best estimates of $\beta_{0}$ , $\beta_{1}$       114
Best estimates of $\beta_{0}, \beta_{1}, \ldots, \beta_{k}$       237
Best prediction function      114
bivgauss.dat      63
bivngaus.dat      66
Bonferroni      40 419
bp.dat      326
bpweight.dat      477 478
cabbage.dat      207 208
Calibration      425 427
cans.dat      200 201
car.dat      80 131 170
car2.dat      97
car20.dat      151 152 170
carbmon.dat      576 577
carl7.dat      337 338
Cause and effect      1
Cbebyshev's theorem      16 88
cereal.dat      332
chamber.dat      433
Change of units      125
Checking Assumptions      132
chol.dat      215 216
Coefficient of correlation      17 181 185
Coefficient of correlation,confidence interval      187
Coefficient of correlation,point estimate      186
Coefficient of correlation,properties of      186
Coefficient of determination      181 185 291 296
Coefficient of determination,point estimate      301 303
Coefficient of determination,point estimate (alternate)      302 303
Coefficient of determination,properties of      298
Coefficient of determination,tests      306
coil.dat      612
Comparison of several straight line regressions      436
Comparison of two regression functions (nested case)      291
Comparison of two regression functions (nonnested case)      309
concrete.dat      464
Confidence coefficient (level)      24
confidence intervals      22 24 31 161 262
Confidence intervals for $Y((x_{1}, \ldots, x_{k})$       262
Confidence intervals for $\alpha_{0}\beta_{0}+\alpha_{1}\beta_{1}$       161
Confidence intervals for $\alpha_{0}\beta_{0}+\alpha_{1}\beta_{1}+\ldots+\alpha_{k}\beta_{k}$       262
Confidence intervals for $\beta_{i}$       161 262
Confidence intervals for $\mu_{r}$ ,      28 31
Confidence intervals for $\mu_{r}(x)$       161
Confidence intervals for $\mu_{r}(x_{1}, \ldots, x_{k})$       262
Confidence intervals for $\sigma$       31 163 264
Confidence intervals for $\sigma_{B}/\sigma_{A}$       303 311
Confidence intervals for $\sigma_{r}$       31
Confidence intervals for $\sigma_{r}/\sigma$       187
Confidence intervals for lack-of-fit      322
Confidence intervals for linear combination of $\beta_{i}$ ,      161 262
Confidence intervals for maximum (minimum) of a quadratic regression model      460
Confidence intervals for mean      28 31
Confidence intervals for nonlinear regression      610
Confidence intervals for point of intersection of two straight line regressions      452
Confidence intervals for ratio of standard deviations      187 188 303 311
Confidence intervals for spline regression      470
Confidence intervals for Y(x)      161
Confidence intervals lower bound      26 263
Confidence intervals one-at-a-time      37
Confidence intervals one-sided      25 163
Confidence intervals or ratio of sigmas      187 188 303 311
Confidence intervals simultaneous      36 38 40 170
Confidence intervals symmetric      26
Confidence intervals upper bound      26 263
Confidence intervals, equal-tailed      25 265
contrast.dat      617
Controllable and noncontrollable factors      301
Conversation      41 87 128 190 205 269 273 334 389
Cook's distance      372 384
Correlation      17 181 185
crystal.dat      118 119 148 184 214 361 412 434
crystal3.dat      447 448
Data splitting      545
Degrees of freedom      241
Derived variables      221
DFFTTS      372 373 384
Diagnostics      156 351 383
drugconc.dat      561 562
eggshell.dat      443 453
electricdat      253 254 275 280
Error of prediction      74
Error sum of squares      113
Estimate of regression coefficients in multiple linear regression      238
Estimate of regression coefficients in nonlinear regression      606 607
Estimate of regression coefficients in spline regression      469
Estimate of regression coefficients in straight line regression      114
Estimate of regression coefficients in straight line regression through the origin      210
Estimate of sigma      115 240
ethnic.dat      414 424
exam.dat      595
Explanatory variable      74
fet.dat      203
Fitted values      139 148 157 252
Functional notation      47
Functions      47
Functions of many variables      48
Functions, linear      48
Functions, multivariate      48
Gaussian (normal) population      2 10 62 88 103 110 111 233 258
Gaussian assumptions      110 111 232 233
Gaussian assumptions, checking      143 145 252 253
Gaussian rankit-plot      143 145 155 252 253
Gaussian scores (nscores)      143 145 253 258
gifted.dat      512
gpa.dat      242 243 261 266 510 524 535 538 545
grades.dat      100
grades26.dat      104 105 132 181
gravity.dat      212
grocery.dat      287 288
Growth curves      551
Growth curves, assumptions      555
Growth curves, confidence intervals      560
Growth curves, point estimates      560
Hand-held calculator      2
Hat values      136 148 365 384
haze.dat      624
Histograms      13 64
Homogeneity of standard deviations (variances)      110 139
Identical regression lines      436
Ill-conditioning      392
Independent variables      48
Inference      1 3 20 22
Influential observations      371
Influential observations, Cook's distance      372
Influential observations, DFFITS      372 373
Intersection of two regression lines      436 450
Laboratory manual      2 3 116 146
Lack-of-fit,      143 318
Lack-of-fit, confidence intervals      322
Lack-of-fit, point estimates      322

Lack-of-fit, pure error      325
Lack-of-fit, sum of squares      330
Lack-of-fit, tests      329
larch.dat      567 568
Least absolute deviations      107
Least squares      107 112 113 235
Leverages      365
Lightdat      608
Linear combination of Gaussian variables      63 147 156 160
Linear functions      48 239
Linear splines      465
mammalwt.dat      367
Matrices,      50
Matrices, addition      54
Matrices, equality      52
Matrices, inversion      60
Matrices, multiplication      54
Matrices, special,      58
Matrices, special, diagional matrix      59
Matrices, special, identity      59
Matrices, special, symmetric      60
Matrices, special, zero      59
Matrices, subtraction      54
Matrices, transposition      52
Maximum (minimum) of quadratic regression function      456
Mean      4 12 15
Mean squared error      115
Mean squared error for lack-of-fit      330
Mean squared error for nonlinear regression      607
Measurement errors,      110 194 234
Measurement errors, assumptions      195
Measurement errors, Berkson model      195 197
Measurement errors, classical errors in variables model      195 197
Measurement errors, definition      194 195
Measurement errors, in predictor variables      194
Measurement errors, in response variable      194 197
Measures of goodness of prediction      294
Minimum of quadratic regression function      456
Minitab      2 116 146 157 242 258
minivan.dat      209
Model      3 10
mouse.dat      335 336
mpg.dat      489 490
Multicollinearity      392 396 397
Multiple linear regression      219
Multivariate Gaussian      62 see
Multivariate populations      16
nickeldat      491 492
Non-Gaussian assumptions      584
Noncentral      1420
Nonlinear regression,      96 599
Nonlinear regression, assumptions      605
Nonlinear regression, confidence intervals      610
Nonlinear regression, families of functions      600
Nonlinear regression, least squares      607
Nonlinear regression, linearizing transformation      616
Nonlinear regression, point estimation      606
Nonlinear regression, tests      610
Normal equations      237
Notation      8 47 115 220 222 292
Nscores      143 145 156 160 258
Outliers      133 352
p-value      32
Parallel regression lines      436
Parameters      3 14 16 103 223
plant.dat      340 341
plasticdat      225 230
Point estimation      22 112 235
Point estimation for $\beta_{i}$ , in nonlinear regression      606
Point estimation for intersection of two Point estimation regression lines      452
Point estimation for lack-of-fit      322
Point estimation for maximum (minimum) of a quadratic regression model      460
Point estimation of $\beta_{i}$       114 117 236
Point estimation of correlation      23
Point estimation of linear combination of $\beta_{i}$ ,      114 118 239
Point estimation of mean      22 31
Point estimation of multiple coefficient of Point estimation determination      301
Point estimation of standard deviation      23 31 118 240
Point estimation unbiased      23
Polynomial regression      222
Population,      1 3 4 77 see
Population, bivariate      7
Population, conceptual      4
Population, imagined      4
Population, items      4
Population, k-variable      7
Population, k-variate      7
Population, multivariate      7 16
Population, parameters      4 14 103 223
Population, real      4
Population, regression function      117
Population, regression model      111 117 224
Population, study      9 82 110
Population, target      9 74 82
Population, trivariate      7
Population, univariate      7
Power of test      33
Predicted values      139
Prediction      1 73 80 99 219
Prediction error      74 112 224
Prediction function,      74 81 84 113 117
Prediction function, adequacy      295
Prediction interval      29 403
Prediction interval for average of h future values      405
Prediction interval for sum of h future values      406
Predictor variable (factor)      74 81
premiums.dat      354
prison.dat      483 484
process2.dat      126 —127
processl.dat      126 127
profcaldat      586 587
pumpkin.dat      565 566
ramus.dat      564
Rankit plot      154 252 253
Regression      1 73
Regression,assumptions      109 132 232
Regression,diagnostics      351
Regression,function      83 84 86
Regression,intercept      99
Regression,linear      96
Regression,multiple      86 219
Regression,nonlinear      96 599
Regression,polynomial      222
Regression,sample regression model      112 117
Regression,slope      99
Regression,straight line      86 99 109
Regression,through the origin      210
Regression,using matrices      237
Regulation      425 431
Residual sum of squares      240
Residuals      113 148 154 157 240 251 351 384
Response variable      74
salaries.dat      486 487
sales.dat      470 471
Sample regression function      117
Sample regression model      112 117
Samples      1 3 20 21 104 224
Samples,simple random      21 94 110 111 233 234
Samples,with preselected X values      94 110 233
SAS      2 116 146 157 242 258
Selection of variables      502
serum.dat      622 623
shelflif.dat      176 177 180
Significance test      32
Size of test      32
so2.dat      158 188 435 581 590
soybuigr.dat      592 593
Spline regression      465
Standard deviation      12 15 294
Standard errors      27

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