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Mason R.L., Gunst R.F., Hess J.L. — Statistical Design and Analysis of Experiments, with Applications to Engineering and Science
Mason R.L., Gunst R.F., Hess J.L. — Statistical Design and Analysis of Experiments, with Applications to Engineering and Science

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Название: Statistical Design and Analysis of Experiments, with Applications to Engineering and Science

Авторы: Mason R.L., Gunst R.F., Hess J.L.

Аннотация:

This graduate textbook introduces the design of experiments with factorial structures, random factor effects, and quantitative predictors and factors, and methods for analyzing the resulting data. The second edition expands coverage of three-level fractional factorial experiments, and the analysis of data from unbalanced experiments, incomplete block designs, split-block designs, and process improvement designs.


Язык: en

Рубрика: Математика/Вероятность/Статистика и приложения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 760

Добавлена в каталог: 05.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$C_m$ ($C_p$) statistic      661
Added factors      260
Adjacent value      70
Adjusted factor-level average      362
Adjusted factor-level average, analysis of covariance      551 555 556
Alias      230 319 324
All-possible subset comparisons      662
Alternative hypothesis      52 55
Analysis of covariance (ANACOVA)      535 543
Analysis of marginal means      276
Analysis of variance (Anova)      481 503
Analysis of variance (ANOVA), model      173
Analysis of variance (ANOVA), table      176 481 504 546
Assignable causes      173
Assumptions, analysis of covariance model      544 554
Assumptions, fixed effects analysis of variance model      173
Assumptions, linear regression analysis      463 481
Assumptions, random effects analysis of variance model      349
Average      33
Backward elimination      668
balance      145 248 252
Balanced incomplete block design (BIB)      325 357
Balancing      316
Bartlett’s test      98
Bias measurement      402
Block      110 316
Block design      311 317 318 400 552
Block design, complete      317 356
Block design, incomplete      318 357
Bonferroni comparisons      211
Box — Behnken design      248 585
Box — Cox procedure      642
Boxplot comparisons      70
Canonical analysis      593 604
Capability study      404
Carryover effects      331
Categorical variable      536 539
Central composite design      248 582
Central limit property      47
Chi-square probability distribution      46 62 82
Coding      541 578
Coefficient of determination      482 504 661
Coefficient of determination, adjusted      505 661
Collinear predictors      518
Collinearity detection      672
Combined array design      594
Complete block design      317 356
Completely randomized design      141 170 229 542
Completely randomized design, three-level      247
Completely randomized design, two-level      239
Comprehensive regression analysis      470
Computer-generated design      580
Confidence coefficient      75
Confidence interval      49
Confidence interval for analysis of variance model      186
Confidence interval for factor level means      275
Confidence interval for normal distribution parameters      49 76 83 92 94
Confidence interval for ratio of expected mean squares      355
Confidence interval for regression model parameters      484 510
Confidence interval for regression model response mean      485 524
Confidence interval, equivalence to hypothesis test      78
Confidence interval, interpretation      50 75
Confidence interval, simultaneous      524
Confidence level      55
Confounding      112 318
Confounding, effects      229
Confounding, partial      320
Confounding, pattern      233 281 287
Constrained factor space      588
contrast      161 197 230
Contrast, orthogonal      198
Contrast, sum of squares      200
Correlation coefficient      468
Covariate      110 542
Criteria for comparing fitted models      661
Critical value      55
Crossed array design      594
Crossover design      331
Curvature      413
DATA      4
Data collection      4
Defining contrast      239 319 324
Defining equation      239 321
Degrees of freedom      46 73 90 180
density      20 42
Design problems, erroneous efficiency      119
Design problems, error variation      115
Design problems, masked factors      115
Design problems, one-factor-at-a-time      121
Design problems, uncontrolled factors      117
Design resolution      237
Design selection criteria, efficiency      127
Design selection criteria, factor effects      126
Design selection criteria, objective      125
Design selection criteria, precision      127
Design selection criteria, randomization      128
Deviations      35
DFBETAS      625
DFFITS      625
Discrimination      402
distribution      19
Distribution, frequency      21
Distribution, normal      20
Distribution, sampling      21 45
dot notation      153
Dual response model      598
effects      110
Effects sum of squares      see "Sum of squares"
Effects, calculation of      152 156 160
Effects, coding of factor levels      154
Effects, confounded      230
Effects, fixed      171
Effects, graphical assessment      158
Effects, interaction      153 175
Effects, joint factor      145 178
Effects, linear      290
Effects, main      153
Effects, parameters      277
Effects, plot      280
Effects, polynomial      190
Effects, quadratic      290
Effects, random      171 347 424
Effects, representation      153
Error mean square (MSE)      185 273 482 504
Error rates, comparisonwise      201
Error rates, experimentwise      201
Error rates, type I      201
Error rates, type II      202
Error standard deviation      184
Estimate      44
Estimated error standard deviation      73 157 276 482 504
Estimated experimental error      185
Evolutionary operation (EVOP)      130
Expected mean square      350 366 425
Experimental error      411
Experimental layout      112
Experimental region      110 575
Experimental studies      4
Experimental unit      110
F probability distribution      46 62
F ratio      46 93 195 661
F statistic      93
F-max test      97
Face-centered cube design      583
Factor      12
Factor effects      171 see
Factor levels      110 189
Factor levels, quantitative      189
Factor levels, random      347
Factor levels, space      111
Factorial experiments      141 228 580
Factors      12
Factors, balanced      382
Factors, control      408 598
Factors, crossed      379
Factors, environmental      408
Factors, hard to vary      391
Factors, nested      379
Factors, noise      598
Factors, uncontrolled      117
Fold-over designs      260
Forward selection      666
Fractional factorial      228 321
Fractional factorial experiment      144 228 278 287 290 580
Fractional factorial experiment, analysis of      278 287 290
French curve      516
Gage R&R studies      401 433
Graeco-Latin-Square design      330
GROUPING      316
Grubbs test      617
Hierarchical model      see "Model"
Hierarchically nested designs      381 423
Histogram relative-frequency      22
Hybrid design      588
Hypothesis tests for factor effects      195
Hypothesis tests for normal distribution parameters      52 78 85 92 95
Hypothesis tests, analysis of covariance model parameters      544
Hypothesis tests, analysis of variance model parameters      194 275
Hypothesis tests, decision rules      77
Hypothesis tests, lack of fit      506
Hypothesis tests, p-value calculations      77
Hypothesis tests, regression model parameters      484 508
Hypothesis types      52
Incomplete block design      318 357
Incomplete block design, balanced      325
Incomplete block design, three-level factorial      323
Incomplete block design, two-level factorial      318
Independence      44
Indicator variables      461 536
Inferences on means      72 86 89
Inferences on regression models      481 503
Inferences on standard deviations two samples      81 93
Influential observations      624
Inner array      408
Integrated approach      410
Integrated design model      598
Interaction      110 146 511 541
Interaction plot      216
Lack-of-fit, error      482 506
Lack-of-fit, test      506
Latin-square design      328 364
Least significant, difference      210
Least significant, interval      218
Least squares estimation      475 478 480 497
Least squares estimation, interpretation      478 499
Least squares fit      476
Least squares means      278
Leverage values      628
Local control      316
Loess smoothing      474
Masking      115 618
Mean      33
Mean square      181
Mean square, expected      350 366 425
Measurement process      401
Measurement variation      6 402
Median      34
Mixed-levels designs      254
Mixture design      588
Model, analysis of covariance      543 553
Model, analysis of variance      173
Model, assumptions      630
Model, extrapolation      463 518
Model, first-order      513 515
Model, fixed effects      173 348 429
Model, hierarchical      176 272
Model, integrated design      587
Model, linear      462 497 536
Model, mathematical      25
Model, no-intercept regression      480 485
Model, nonlinear      640
Model, one-way classification      184
Model, order      513 515
Model, polynomial      514 588
Model, random-effect      349
Model, regression      462 497 536
Model, respecification      639
Model, response surface      588
Model, saturated      185
Model, second-order      513 515
Model, specification      462 472 497 634
Model, statistical      25
Model, sum of squares      see "Sum of squares"
Multi-panel conditioning      214
Multiple comparison procedures      196
Nested design      378 423
Nested factors      see "Factor"
Noncentral composite design      588
Nonlinear relationship      635 640
Nonlinear response function      640
Nonorthogonal designs      252
Normal density function      43
Normal equations      499
Normal probability distribution      20 43 59
Null hypothesis      52 55
Observation      12
Observational data      587
Observational studies      4
Observed value      11
One-Factor-at-a-Time (OFAT) Testing      121
Operating characteristic curve      59 80
Optimum response      573 576
orthogonal arrays      252 407 414
Orthogonal contrast      see "Contrast"
Orthogonal polynomials      207
Outer array      408
Outliers      70
Outliers in predictor variables      626
Outliers in response variables      619
Outliers, accommodation      615
Outliers, detection      614
p-value      55 77
PARAMETER      19
Parameter, analysis of variance model      174
Parameter, constraints      174
Parameter, estimation      186
Parameter, interaction      174
Parameter, main-effect      174
Parsimony      516
Partial regression coefficient estimate      499
Pearson’s r      468
Pick the winner      437 457
PISEAS      470
Plackett — Burman design      256
Plackett — Burman design, analysis      293
Plots, boxplot      70
Plots, contour      122 571
Plots, cube      213
Plots, factor effects      158
Plots, interaction      150 216
Plots, labeled scatterplot      148
Plots, least significant interval      218
Plots, normal quantile-quantile      159 630
Plots, overlaying      575
Plots, partial-regression      637
Plots, partial-residual      635
Plots, point      39
Plots, residual      634
Plots, scatter      6 148
Plots, studentized deleted residual      644
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