## Statistics in IndustryRavindra Khattree, Calyampudi Radhakrishna Rao This volume presents an exposition of topics in industrial statistics. It serves as a reference for researchers in industrial statistics/industrial engineering and a source of information for practicing statisticians/industrial engineers. A variety of topics in the areas of industrial process monitoring, industrial experimentation, industrial modelling and data analysis are covered and are authored by leading researchers or practitioners in the particular specialized topic. Targeting the audiences of researchers in academia as well as practitioners and consultants in industry, the book provides comprehensive accounts of the relevant topics. In addition, whenever applicable ample data analytic illustrations are provided with the help of real world data. |

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### Contents

Guidelines for Selecting Factors and Factor Levels for an Industrial Designed | 3 |

Dean Department of Statistics Ohio State University Columbus OH 43210 | 8 |

jreecepcisvs | 9 |

Guidelines for selecting factor levels | 12 |

Guidelines for relationships between factors | 18 |

Guidelines for variables held constant or not controlled | 24 |

N Naik Department of Mathematics and Statistics Old Dominion University | 26 |

Summary | 30 |

Sample size in Phase II | 604 |

Data for analysis | 611 |

Biplots | 618 |

Quantifying the Capability of Industrial Processes | 625 |

Nonparametric and robust process capability | 645 |

Taguchis Approach to Online Control Procedure | 657 |

Improvement under random walk model without measurement error | 663 |

Online control under random walk model with measurement error | 671 |

Supersaturated designs | 44 |

Computer experiments | 54 |

Dispersion effects in screening designs | 65 |

The Planning and Analysis of Industrial Selection and Screening | 75 |

Singlefactor experiments to screen treatments based on means | 85 |

Selection and screening for completely randomized experiments | 96 |

Selection and screening for factorial experiments with randomization restrictions | 103 |

Screening and selection concerning variability | 123 |

Uniform Experimental Designs and their Applications in Industry | 131 |

Uniform design in other environments | 137 |

Computer experiments | 149 |

The connections between uniformity and other designs | 158 |

Summary and discussion | 165 |

Some Illustrative Industrial | 171 |

Models for data from experiments with multiple processing steps | 180 |

Baking cookies example of a twostep process using a stripplot design | 187 |

Semiconductors example of repeated measures in a splitsplitplot design | 199 |

Discussion | 206 |

Generalized linear models | 215 |

Dealing with the design dependence problem | 223 |

A Review of Design and Modeling in Computer Experiments | 231 |

Statistical modeling issues for metamodels | 237 |

Experimental design issues | 244 |

Discussion | 255 |

Quality Improvement and Robustness via Design of Experiments | 263 |

Models for parameter design | 269 |

Choice of plans for parameter design | 283 |

Followup experiments | 289 |

Analysis for controlled noise factors | 298 |

Related topics | 304 |

Software to Support Manufacturing Experiments | 319 |

Summary of software evaluations | 333 |

Appendix Demonstrations of products evaluated | 345 |

Conclusions and acknowledgments | 456 |

Gauge studies | 471 |

Designed experiments | 479 |

Statistical process control | 488 |

A New Approach to Product Development and Lifetime | 499 |

Expert judgment | 506 |

Conclusions | 520 |

Need for and complexity of measurements | 526 |

Latent semantic indexing LSI applied to Web transactions | 537 |

Emerging challenges for ecommerce data mining | 544 |

Control Chart Schemes for Monitoring the Mean and Variance of Processes | 553 |

Statistical measures of control chart performance | 561 |

An illustrative example of control chart plots | 567 |

Hotelling T2 Data Depth and Beyond | 573 |

Concluding remarks | 587 |

Effective Sample Sizes for r2 Control Charts | 595 |

Robustness under nonnormality | 678 |

Concluding remarks | 685 |

DeadBand Adjustment Schemes for Online Feedback Quality | 695 |

Dynamics of the adjustment system | 701 |

Exact characterization and evaluation of the A AI | 707 |

Evaluation of the AAI and MSD under pure delayed dynamics | 713 |

Robustness of the DBA schemes and the EWMA forecasts | 719 |

Statistical Calibration and Measurements | 731 |

Statistical Inference for Variance | 765 |

General unbalanced nested designs | 771 |

Interval estimation | 783 |

Concluding remarks | 791 |

Statistical models to assess repeatability and reproducibility | 798 |

Interval estimation of repeatability and reproducibility | 815 |

Tolerancing Approaches and Related Issues in Industry | 823 |

Geometric and kinematic variations | 832 |

STATISTICAL INFERENTIAL TECHNIQUES USEFUL | 867 |

illustrations | 884 |

illustrations | 899 |

Normal Theory Methods and their Simple Robust Analogs for Univariate | 907 |

univariate case | 916 |

Multivariate normal theory tests | 928 |

Robust test procedures | 937 |

Examples | 948 |

Diagnostic Methods for Univariate and Multivariate Normal Data | 957 |

Linear regression data | 964 |

Multivariate data | 970 |

Dimension Reduction Methods Used in Industry | 995 |

Distributional issues | 1020 |

Conclusions | 1035 |

Growth and Wear Curves | 1041 |

Nonparametric methods of the analysis of growth data | 1048 |

Time Series in Industry and Business | 1055 |

ARIMA model building | 1062 |

Forecasts from ARIMA models | 1069 |

Interventions outliers and missing observations | 1075 |

Statespace models and the Kalman filter | 1081 |

Other nonlinear time series models | 1090 |

Longmemory processes | 1101 |

SOFTWARE RELIABILITY | 1107 |

The Markov renewal the semiMarkov and the Markov additive processes | 1116 |

The nonhomogeneous and the doubly stochastic Poisson point processes | 1124 |

Bayesian Inference for the Number of Undetected Errors | 1131 |

Heterogeneity among the errors | 1137 |

Heterogeneity of both reviewers and errors | 1143 |

1151 | |

Contents of Previous Volumes | 1165 |