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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
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Название: Statistical Design and Analysis of Experiments, with Applications to Engineering and ScienceАвторы: 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: Рубрика: Математика /Вероятность /Статистика и приложения /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2003Количество страниц: 760Добавлена в каталог: 05.06.2005Операции: Положить на полку |
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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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