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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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Plots, trellis 214 Pooled standard deviation estimate 90 Population 10 Power 56 PRECISION 127 Prediction equation 475 498 Prediction interval 485 Probability concepts 42 Process 10 Process, capability 404 Product array design 594 Pure error 506 Quadratic model 515 588 Quality control procedures 128 Quality loss function 407 Quantile 159 quartile 37 Random sample 14 Randomization 128 142 391 Randomization, restricted 391 Randomized complete block (RCB) design 317 552 RANGE 35 Reduction in error sum of squares 273 Reexpression 642 647 Regression analysis, analysis linear 470 Regression analysis, assumptions 463 481 Regression analysis, common uses and misuses 462 Regression analysis, local fit 473 Regression analysis, strategy 470 Regression analysis, sum of squares 481 503 Regression coefficient 462 497 Regression coefficient, beta-weight 502 519 Regression coefficient, standardized 502 519 Regression fallacy 480 Repeat test 110 144 312 Repeatability 315 402 434 Replication 110 312 Reproducibility 315 402 434 Residuals 475 498 Residuals, partial 635 Residuals, studentized deleted 623 Response surface designs 129 410 568 580 Response surface designs, Box — Behnken 413 585 Response surface designs, central composite 413 582 Response, dispersion 130 Response, location 130 Response, predicted 475 498 Response, variable 120 Rising ridge 572 robust design 401 Robust design, parameter design 587 594 Robustness 401 Rotatable design 581 Ruggedness tests 267 293 Saddle 572 Sample 13 Sample correlation coefficient 468 Sample, mean 34 Sample, median 34 Sample, sampling distribution of 45 Sample, size 56 79 Sample, standard deviation 36 73 Sample, types of 13 Sample, variance 46 Sampling distribution 21 45 73 Saturated designs 253 scatterplot 6 Scatterplot, smoothing 473 Screening design 144 256 Screening design, analysis 293 Screening experiments 129 158 256 Semi-interquartile range 37 70 sequential experimentation 255 331 Shapiro — Wilk test for normality 633 Signal-to-noise ratio 436 Significance level 55 Significance probability 55 Simplex design 588 Small composite design 588 Smoothing 473 span 473 Split plot 384 388 Split-plot design 384 388 428 Stable process 404 Staggered nested design 382 427 Standard deviation 36 81 Standard error 45 Standard normal variate 44 Standard process 404 Standardized predictor variable 519 591 Stationary point 593 Stationary ridge 571 Statistic 4 19 Steepest ascent method 602 Stepwise variable selection techniques 665 Stepwise variable selection techniques, collinear effects 672 Student t distribution 46 60 Student t distribution, approximate 91 Sum of squares, contrast 200 Sum of squares, error 180 481 498 Sum of squares, interaction effect 178 Sum of squares, main effect 178 Sum of squares, model 177 Sum of squares, partitioned 177 Sum of squares, regression 481 503 Sum of squares, total 177 481 Supersaturated design analysis 297 t-distribution 46 t-statistic 73 209 Taguchi approach 129 406 Taguchi design 406 436 Test run 110 Tolerance intervals 50 Transformation, Box — Cox 642 Transformation, logarithmic 640 Transformation, power-family 642 Transmitted variation 411 Tukey’s significant difference 212 Type I error 55 202 Type II error 55 202 Unbalanced design analysis 272 Variable 11 Variable, categorical 536 Variable, collinear 518 Variable, continuous 42 Variable, indicator 461 536 Variable, predictor 461 462 497 Variable, response 12 110 Variable, selection techniques 659 Variable, standardized 579 Variance component 350 434 Variance inflation factors 673 Variation assignable cause 173 Variation measurement 402 Variation random 173 Variation, sources of 173 Variation, transmitted 411 Whole plots 388
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