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6.   Process or Product Monitoring and Control - Detailed Table of Contents  [6.]



  1. Introduction  [6.1.]
    1. How did Statistical Quality Control Begin?  [6.1.1.]
    2. What are Process Control Techniques?  [6.1.2.]
    3. What is Process Control?  [6.1.3.]
    4. What to do if the process is "Out of Control"?  [6.1.4.]
    5. What to do if "In Control" but Unacceptable?  [6.1.5.]
    6. What is Process Capability?  [6.1.6.]

  2. Test Product for Acceptability: Lot Acceptance Sampling  [6.2.]
    1. What is Acceptance Sampling?  [6.2.1.]
    2. What kinds of Lot Acceptance Sampling Plans (LASPs) are there?  [6.2.2.]
    3. How do you Choose a Single Sampling Plan?  [6.2.3.]
      1. Choosing a Sampling Plan: MIL Standard 105D  [6.2.3.1.]
      2. Choosing a Sampling Plan with a given OC Curve  [6.2.3.2.]
    4. What is Double Sampling?  [6.2.4.]
    5. What is Multiple Sampling?  [6.2.5.]
    6. What is a Sequential Sampling Plan?  [6.2.6.]
    7. What is Skip Lot Sampling?  [6.2.7.]

  3. Univariate and Multivariate Control Charts  [6.3.]
    1. What are Control Charts?  [6.3.1.]
    2. What are Variables Control Charts?  [6.3.2.]
      1. Shewhart X-bar and R and S Control Charts  [6.3.2.1.]
      2. Individuals Control Charts  [6.3.2.2.]
      3. Cusum Control Charts  [6.3.2.3.]
        1. Cusum Average Run Length  [6.3.2.3.1.]
      4. EWMA Control Charts  [6.3.2.4.]
    3. What are Attributes Control Charts?  [6.3.3.]
      1. Counts Control Charts  [6.3.3.1.]
      2. Proportions Control Charts  [6.3.3.2.]
    4. What are Multivariate Control Charts?  [6.3.4.]
      1. Hotelling Control Charts  [6.3.4.1.]
      2. Principal Components Control Charts  [6.3.4.2.]
      3. Multivariate EWMA Charts  [6.3.4.3.]

  4. Introduction to Time Series Analysis  [6.4.]
    1. Definitions, Applications and Techniques  [6.4.1.]
    2. What are Moving Average or Smoothing Techniques?  [6.4.2.]
      1. Single Moving Average  [6.4.2.1.]
      2. Centered Moving Average  [6.4.2.2.]
    3. What is Exponential Smoothing?  [6.4.3.]
      1. Single Exponential Smoothing  [6.4.3.1.]
      2. Forecasting with Single Exponential Smoothing  [6.4.3.2.]
      3. Double Exponential Smoothing  [6.4.3.3.]
      4. Forecasting with Double Exponential Smoothing(LASP)  [6.4.3.4.]
      5. Triple Exponential Smoothing  [6.4.3.5.]
      6. Example of Triple Exponential Smoothing  [6.4.3.6.]
      7. Exponential Smoothing Summary  [6.4.3.7.]
    4. Univariate Time Series Models  [6.4.4.]
      1. Sample Data Sets  [6.4.4.1.]
        1. Data Set of Monthly CO2 Concentrations  [6.4.4.1.1.]
        2. Data Set of Southern Oscillations  [6.4.4.1.2.]
      2. Stationarity  [6.4.4.2.]
      3. Seasonality  [6.4.4.3.]
        1. Seasonal Subseries Plot  [6.4.4.3.1.]
      4. Common Approaches to Univariate Time Series  [6.4.4.4.]
      5. Box-Jenkins Models  [6.4.4.5.]
      6. Box-Jenkins Model Identification  [6.4.4.6.]
        1. Model Identification for Southern Oscillations Data  [6.4.4.6.1.]
        2. Model Identification for the CO2 Concentrations Data  [6.4.4.6.2.]
        3. Partial Autocorrelation Plot  [6.4.4.6.3.]
      7. Box-Jenkins Model Estimation  [6.4.4.7.]
      8. Box-Jenkins Model Diagnostics  [6.4.4.8.]
        1. Box-Ljung Test  [6.4.4.8.1.]
      9. Example of Univariate Box-Jenkins Analysis  [6.4.4.9.]
      10. Box-Jenkins Analysis on Seasonal Data  [6.4.4.10.]
    5. Multivariate Time Series Models  [6.4.5.]
      1. Example of Multivariate Time Series Analysis  [6.4.5.1.]

  5. Tutorials  [6.5.]
    1. What do we mean by "Normal" data?  [6.5.1.]
    2. What do we do when data are "Non-normal"?  [6.5.2.]
    3. Elements of Matrix Algebra  [6.5.3.]
      1. Numerical Examples  [6.5.3.1.]
      2. Determinant and Eigenstructure  [6.5.3.2.]
    4. Elements of Multivariate Analysis  [6.5.4.]
      1. Mean Vector and Covariance Matrix  [6.5.4.1.]
      2. The Multivariate Normal Distribution  [6.5.4.2.]
      3. Hotelling's T squared  [6.5.4.3.]
        1. T2 Chart for Subgroup Averages -- Phase I  [6.5.4.3.1.]
        2. T2 Chart for Subgroup Averages -- Phase II  [6.5.4.3.2.]
        3. Chart for Individual Observations -- Phase I  [6.5.4.3.3.]
        4. Chart for Individual Observations -- Phase II  [6.5.4.3.4.]
        5. Charts for Controlling Multivariate Variability  [6.5.4.3.5.]
        6. Constructing Multivariate Charts  [6.5.4.3.6.]
    5. Principal Components  [6.5.5.]
      1. Properties of Principal Components  [6.5.5.1.]
      2. Numerical Example  [6.5.5.2.]

  6. Case Studies in Process Monitoring  [6.6.]
    1. Lithography Process  [6.6.1.]
      1. Background and Data  [6.6.1.1.]
      2. Graphical Representation of the Data  [6.6.1.2.]
      3. Subgroup Analysis  [6.6.1.3.]
      4. Shewhart Control Chart  [6.6.1.4.]
      5. Work This Example Yourself  [6.6.1.5.]
    2. Aerosol Particle Size  [6.6.2.]
      1. Background and Data  [6.6.2.1.]
      2. Model Identification  [6.6.2.2.]
      3. Model Estimation  [6.6.2.3.]
      4. Model Validation  [6.6.2.4.]
      5. Work This Example Yourself  [6.6.2.5.]

  7. References  [6.7.]
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