Process Capability

1. Introduction
   1. Motivation
   2. Process
   3. Process control
   4. Process capability
   5. Process capability versus designed experiments
2. Total process capability
   1. Objectives and assumptions
   2. Verifying control
   3. Verifying normality
      1. Statistical measures
      2. Goodness-of-fit tests
      3. Histograms
      4. Normal probability plots
   4. Estimating the standard deviation
   5. Expressing capability
      1. ±3s
      2. Non-normal distributions
      3. Capability indexes: Cp, Cpk
      4. The usefulness of capability indexes
      5. Percent out of specifications
      6. "Sigma" indexes
   6. Motivating a components of variance study
3. Components of process capability
   1. Conjecture step
   2. Design step
      1. Crossed versus nested arrangements of factors
      2. Balanced nested designs
      3. Unbalanced nested designs
   3. Analysis step
      1. The ANOVA
      2. Unbalanced designs
      3. Whither variation
      4. R & R studies
      5. Allocating resources between samples and tests
4. Diagnostics
   1. Assumptions
   2. Multi-vari plots
   3. s-charts
5. Examples
6. Mixed models
   1. Fixed versus random effects
   2. Mixed models defined
   3. Highlights
      1. Conjecture
      2. Design
      3. Observation
      4. Analysis
   4. Review — the experimental framework for components of variance studies

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