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| List of Figures | |
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| List of Tables | |
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| Preface | |
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| Introduction | |
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| Quality and the Early History of Quality Improvement | |
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| Quality Management | |
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| Statistical Process Control | |
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| Organization of the Book | |
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| Exercises | |
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| Basic Statistical Concepts and Methods | |
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| Introduction | |
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| Population and Population Distribution | |
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| Important Continuous Distributions | |
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| Normal distribution | |
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| Chi-square distribution | |
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| t distribution | |
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| F distribution | |
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| Weibull distribution and exponential distribution | |
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| Important Discrete Distributions | |
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| Binary variable and Bernoulli distribution | |
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| Binomial and multinomial distributions | |
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| Geometric distribution | |
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| Hypergeometric distribution | |
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| Poisson distribution | |
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| Data and Data Description | |
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| Tabular and Graphical Methods for Describing Data | |
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| Frequency table, pie chart, and bar chart | |
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| Dot plot, stem-and-leaf plot, and box plot | |
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| Frequency histogram and density histogram | |
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| Parametric Statistical Inferences | |
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| Point estimation and sampling distribution | |
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| Maximum likelihood estimation and least squares estimation | |
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| Confidence intervals and hypothesis testing | |
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| The delta method and the bootstrap method | |
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| Nonparametric Statistical Inferences | |
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| Order statistics and their properties | |
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| Goodness-of-fit tests | |
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| Rank tests | |
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| Nonparametric density estimation | |
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| Nonparametric regression | |
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| Exercises | |
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| Univariate Shewhart Charts and Process Capability | |
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| Introduction | |
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| Shewhart Charts for Numerical Variables | |
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| The X and R charts | |
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| The X and s charts | |
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| The X and R charts for monitoring individual observations | |
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| Shewhart Charts for Categorical Variables | |
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| The p chart and mp chart | |
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| The c chart, u chart, and D chart | |
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| Process Capability Analysis | |
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| Process capability and its measurement | |
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| Process capability ratios | |
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| Some Discussions | |
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| Exercises | |
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| Univariate CUSUM Charts | |
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| Introduction | |
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| Monitoring the Mean of a Normal Process | |
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| The V-mask and decision interval forms of the CUSUM chart | |
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| Design and implementation of the CUSUM chart | |
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| Cases with correlated observations | |
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| Optimality of the CUSUM chart | |
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| Monitoring the Variance of a Normal Process | |
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| Process variability and quality of products | |
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| CUSUM charts for monitoring process variance | |
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| Joint monitoring of process mean and variance | |
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| CUSUM Charts for Distributions in Exponential Family | |
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| Cases with some continuous distributions in the exponential family | |
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| Cases with discrete distributions in the exponential family | |
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| Self-Starting and Adaptive CUSUM Charts | |
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| Self-Starting CUSUM charts | |
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| Adaptive CUSUM charts | |
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| Some Theory for Computing ARL Values | |
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| The Markov chain approach | |
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| The integral equations approach | |
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| Some Discussions | |
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| Exercises | |
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| Univariate EWMA Charts | |
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| Introduction | |
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| Monitoring the Mean of a Normal Process | |
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| Design and implementation of the EWMA chart | |
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| Cases with correlated observations | |
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| Comparison with CUSUM charts | |
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| Monitoring the Variance of a Normal Process | |
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| Monitoring the process variance | |
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| Joint monitoring of the process mean and variance | |
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| Self-Starting and Adaptive EWMA Charts | |
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| Self-starting EWMA charts | |
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| Adaptive EWMA charts | |
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| Some Discussions | |
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| Exercises | |
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| Univariate Control Charts by Change-Point Detection | |
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| Introduction | |
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| Univariate Change-Point Detection | |
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| Detection of a single change-point | |
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| Detection of multiple change-points | |
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| Control Charts by Change-Point Detection | |
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| Monitoring of the process mean | |
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| Monitoring of the process variance | |
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| Monitoring of both the process mean and variance | |
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| Some Discussions | |
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| Exercises | |
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| Multivariate Statistical Process Control | |
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| Introduction | |
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| Multivariate Shewhart Charts | |
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| Multivariate normal distributions and some basic properties | |
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| Some multivariate Shewhart charts | |
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| Multivariate CUSUM Charts | |
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| MCUSUM charts for monitoring the process mean | |
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| MCUSUM charts for monitoring the process covariance matrix | |
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| Multivariate EWMA Charts | |
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| MEWMA charts for monitoring the process mean | |
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| MEWMA charts for monitoring the process covariance matrix | |
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| Multivariate Control Charts by Change-Point Detection | |
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| Multivariate Control Charts by LASSO | |
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| LASSO for regression variable selection | |
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| A LASSO-based MEWMA chart | |
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| Some Discussions | |
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| Exercises | |
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| Univariate Nonparametric Process Control | |
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| Introduction | |
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| Rank-Based Nonparametric Control Charts | |
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| Nonparametric Shewhart charts | |
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| Nonparametric CUSUM charts | |
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| Nonparametric EWMA charts | |
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| Nonparametric CPD charts | |
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| Nonparametric SPC by Categorical Data Analysis | |
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| Process monitoring by categorizing process observations | |
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| Alternative control charts and some comparisons | |
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| Some Discussions | |
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| Exercises | |
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| Multivariate Nonparametric Process Control | |
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| Introduction | |
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| Rank-Based Multivariate Nonparametric Control Charts | |
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| Control, charts based on longitudinal ranking | |
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| Control charts based on cross-component ranking | |
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| Multivariate Nonparametric SPC by Log-Linear Modeling | |
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| Analyzing categorical data by log-linear modeling | |
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| Nonparametric SPC by log-linear modeling | |
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| Some Discussions | |
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| Exercises | |
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| Profile Monitoring | |
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| Introduction | |
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| Parametric Profile Monitoring | |
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| Linear profile monitoring | |
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| Nonlinear profile monitoring | |
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| Nonparametric Profile Monitoring | |
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| Nonparametric mixed-effects modeling | |
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| Phase II nonparametric profile monitoring | |
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| Some Discussions | |
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| Exercises | |
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| R Functions for SPC | |
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| Basic R Functions | |
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| R Packages for SPC | |
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| List of R Functions Used in the Book | |
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| Datasets Used in the Book | |
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| Bibliography | |
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| Index | |