| Course Outline |
| Chapter 1: Descriptive Statistics and Graphical Analysis |
| 1.1 Introduction |
| 1.1.1 Learning Objectives |
| 1.2 Types of Data |
| 1.2.1 Basic Concepts |
| 1.2.2 Data Types |
| 1.2.3 Quiz: Types of Data |
| 1.3 Using Graphs to Analyze Data |
| 1.3.1 Basic Concepts |
| 1.3.2 Bar Charts and Pareto Charts |
| 1.3.3 Pie Charts |
| 1.3.4 Histograms |
| 1.3.5 Dotplots |
| 1.3.6 Individual Value Plots |
| 1.3.7 Boxplots |
| 1.3.8 Time Series Plots |
| 1.3.9 Quiz: Using Graphs to Analyze Data |
| 1.3.10 Minitab Tools: Bar Chart |
| 1.3.11 Minitab Tools: Pie Chart |
| 1.3.12 Minitab Tools: Histogram |
| 1.3.13 Minitab Tools: Dotplot |
| 1.3.14 Minitab Tools: Individual Value Plot |
| 1.3.15 Minitab Tools: Boxplot |
| 1.3.16 Minitab Tools: Times Series Plot |
| 1.3.17 Exercise: Graphical Analysis |
| 1.4 Using Statistics to Analyze Data |
| 1.4.1 Basic Concepts |
| 1.4.2 Mean and Median |
| 1.4.3 Range, Variance, and Standard Deviation |
| 1.4.4 Quiz: Using Statistics to Analyze Data |
| 1.4.5 Minitab Tools: Display Descriptive Statistics |
| 1.4.6 Exercise: Descriptive Statistics |
| 1.5 Summary |
| 1.5.1 Objectives Review |
| Chapter 2: Statistical Inference |
| 2.1 Introduction |
| 2.1.1 Learning Objectives |
| 2.2 Fundamentals of Statistical Inference |
| 2.2.1 Basic Concepts |
| 2.2.2 Random Samples |
| 2.2.3 Quiz: Fundamentals of Statistical Inference |
| 2.2.4 Minitab Tools: Random Sampling |
| 2.3 Sampling Distributions |
| 2.3.1 Basic Concepts |
| 2.3.2 Sampling Distribution of the Mean |
| 2.3.3 Quiz: Sampling Distributions |
| 2.4 Normal Distribution |
| 2.4.1 Basic Concepts |
| 2.4.2 Probabilities Associated with a Normal Distribution |
| 2.4.3 Probabilities Associated with the Sample Mean |
| 2.4.4 Quiz: Normal Distribution |
| 2.4.5 Minitab Tools: Cumulative Probabilities with a Normal Distribution |
| 2.4.6 Exercise: Probabilities and Normal Distributions |
| 2.5 Summary |
| 2.5.1 Objectives Review |
| Chapter 3: Hypothesis Tests and |
| Confidence Intervals |
| 3.1 Introduction |
| 3.1.1 Learning Objectives |
| 3.2 Tests and Confidence Intervals |
| 3.2.1 Confidence Intervals |
| 3.2.2 Hypothesis Testing |
| 3.2.3 Using Hypothesis Testing to Make Decisions |
| 3.2.4 Type I and Type II Errors and Power |
| 3.2.5 Quiz: Tests and Confidence Intervals |
| 3.3 1-Sample t-Test |
| 3.3.1 Basic Concepts |
| 3.3.2 Individual Value Plots |
| 3.3.3 1-Sample t-Test Results |
| 3.3.4 Assumptions |
| 3.3.5 Quiz: 1-Sample t-Test |
| 3.3.6 Minitab Tools: 1-Sample t-Test |
| 3.3.7 Exercise: 1-Sample t-Test |
| 3.4 2 Variances Test |
| 3.4.1 Basic Concepts |
| 3.4.2 Boxplots |
| 3.4.3 2 Variances Test Results |
| 3.4.4 Assumptions |
| 3.4.5 Quiz: 2 Variances Test |
| 3.4.6 Minitab Tools: 2 Variances Test |
| 3.4.7 Exercise: 2 Variances Test |
| 3.5 2-Sample t-Test |
| 3.5.1 Basic Concepts |
| 3.5.2 Individual Value Plot |
| 3.5.3 2-Sample t-Test Results |
| 3.5.4 Assumptions |
| 3.5.5 Quiz: 2-Sample t-Test |
| 3.5.6 Minitab Tools: 2-Sample t-Test |
| 3.5.7 Exercise: 2-Sample t-Test |
| 3.6 Paired t-Test |
| 3.6.1 Basic Concepts |
| 3.6.2 Individual Value Plots |
| 3.6.3 Paired t-Test Results |
| 3.6.4 Assumptions |
| 3.6.5 Quiz: Paired t-Test |
| 3.6.6 Minitab Tools: Paired t-Test |
| 3.6.7 Exercise: Paired t-Test |
| 3.7 1 Proportion Test |
| 3.7.1 Basic Concepts |
| 3.7.2 1 Proportion Test Results |
| 3.7.3 Assumptions |
| 3.7.4 Quiz: 1 Proportion Test |
| 3.7.5 Minitab Tools: 1 Proportion Test |
| 3.7.6 Exercise: 1 Proportion Test |
| 3.8 2 Proportions Test |
| 3.8.1 Basic Concepts |
| 3.8.2 2 Proportions Test Results |
| 3.8.3 Assumptions |
| 3.8.4 Quiz: 2 Proportions Test |
| 3.8.5 Minitab Tools: 2 Proportions Test |
| 3.8.6 Exercise: 2 Proportions Test |
| 3.9 Chi-Square Test |
| 3.9.1 Basic Concepts |
| 3.9.2 Chi-Square Test Results |
| 3.9.3 Assumptions |
| 3.9.4 Quiz: Chi-Square Test |
| 3.9.5 Minitab Tools: Chi-Square Test |
| 3.9.6 Exercise: Chi-Square Test |
| 3.10 Summary |
| 3.10.1 Objectives Review |
| Chapter 4: Control Charts |
| 4.1 Introduction |
| 4.1.1 Learning Objectives |
| 4.2 Statistical Process Control |
| 4.2.1 Basic Concepts |
| 4.2.2 Patterns in Control Charts |
| 4.2.3 Quiz: Statistical Process Control |
| 4.3 Control Charts for Variables Data in Subgroups |
| 4.3.1 Basic Concepts |
| 4.3.2 R Charts |
| 4.3.3 S Charts |
| 4.3.4 Xbar Charts |
| 4.3.5 Quiz: Control Charts for Variables Data in Subgroups |
| 4.3.6 Minitab Tools: Xbar-R Chart |
| 4.3.7 Exercise: Xbar-R Chart |
| 4.4 Control Charts for Individual Observations |
| 4.4.1 Basic Concepts |
| 4.4.2 Moving Range Charts |
| 4.4.3 Individuals Charts |
| 4.4.4 Quiz: Control Charts for Individual Observations |
| 4.4.5 Minitab Tools: I-MR Chart |
| 4.4.6 Exercise: I-MR Chart |
| 4.5 Control Charts for Attribute Data |
| 4.5.1 Basic Concepts |
| 4.5.2 NP and P Charts |
| 4.5.3 C and U Charts |
| 4.5.4 Quiz: Control Charts for Attributes Data |
| 4.5.5 Minitab Tools: P Chart |
| 4.5.6 Exercise: P Chart |
| 4.6 Summary |
| 4.6.1 Objectives Review |
| Chapter 5: Process Capability |
| 5.1 Introduction |
| 5.1.1 Learning Objectives |
| 5.2 Process Capability for Normal Data |
| 5.2.1 Basic Concepts |
| 5.2.2 Assumptions |
| 5.2.3 Testing for Normality |
| 5.2.4 Quiz: Process Capability for Normal Data |
| 5.2.5 Minitab Tools: Normality Test |
| 5.2.6 Exercise: Assumptions for Process Capability |
| 5.3 Capability Indices |
| 5.3.1 Potential Capability: Cp and Cpk |
| 5.3.2 Process Performance: Pp and Ppk |
| 5.3.3 Sigma Level |
| 5.3.4 Quiz: Capability Indices |
| 5.3.5 Minitab Tools: Cp and Pp |
| 5.3.6 Minitab Tools: Sigma Level |
| 5.3.7 Exercise: Process Capability for Normal Data |
| 5.4 Process Capability for Nonnormal Data |
| 5.4.1 Transformations and Alternate Distributions |
| 5.4.2 Box-Cox Transformation |
| 5.4.3 Johnson Transformation |
| 5.4.4 Alternate Distributions |
| 5.4.5 Quiz: Process Capability for Nonnormal Data |
| 5.4.6 Minitab Tools: Box-Cox Transformation |
| 5.4.7 Minitab Tools: Johnson Transformation |
| 5.4.8 Minitab Tools: Capability Analysis with Johnson Transformation |
| 5.4.9 Minitab Tools: Alternate Distributions |
| 5.4.10 Minitab Tools: Capability Analysis with Alternate Distributions |
| 5.4.11 Exercise: Process Capability with Data Transformations |
| 5.4.12 Exercise: Process Capability with Alternate Distributions |
| 5.5 Summary |
| 5.5.1 Objectives Review |
| Chapter 6: Analysis of Variance (ANOVA) |
| 6.1 Introduction |
| 6.1.1 Learning Objectives |
| 6.2 Fundamentals of ANOVA |
| 6.2.1 Basic Concepts |
| 6.2.2 Graphs and Summary Statistics |
| 6.2.3 Quiz: Fundamentals of ANOVA |
| 6.3 One-Way ANOVA |
| 6.3.1 Hypothesis Tests |
| 6.3.2 F-Statistics and P-Values |
| 6.3.3 Multiple Comparisons |
| 6.3.4 Assumptions and Residual Plots |
| 6.3.5 Quiz: One-Way ANOVA |
| 6.3.6 Minitab Tools: One-Way ANOVA |
| 6.3.7 Exercise: One-Way ANOVA |
| 6.4 Two-Way ANOVA |
| 6.4.1 Basic Concepts |
| 6.4.2 Graphs |
| 6.4.3 Hypothesis Tests |
| 6.4.4 F-Statistics and P-Values |
| 6.4.5 Assumptions and Residual Plots |
| 6.4.6 Quiz: Two-Way ANOVA |
| 6.4.7 Minitab Tools: Two-Way ANOVA |
| 6.4.8 Exercise: Two-Way ANOVA |
| 6.5 Summary |
| 6.5.1 Summary of ANOVA |
| Chapter 7: Correlation and Regression |
| 7.1 Introduction |
| 7.1.1 Learning Objectives |
| 7.2 Relationship Between Two Quantitative Variables |
| 7.2.1 Basic Concepts |
| 7.2.2 Scatterplot |
| 7.2.3 Correlation |
| 7.2.4 Quiz: Relationship Between Two Quantitative Variables |
| 7.2.5 Minitab Tools: Scatterplot |
| 7.2.6 Minitab Tools: Correlation |
| 7.2.7 Exercise: Scatterplots and Correlation |
| 7.3 Simple Regression |
| 7.3.1 Basic Concepts |
| 7.3.2 Regression |
| 7.3.3 Hypothesis Tests and R2 |
| 7.3.4 Assumptions and Residual Plots |
| 7.3.5 Quiz: Simple Regression |
| 7.3.6 Minitab Tools: Simple Regression |
| 7.3.7 Exercise: Simple Regression |
| 7.4 Summary |
| 7.4.1 Objectives Review |
| Chapter 8: Measurement Systems Analysis |
| 8.1 Introduction |
| 8.1.1 Learning Objectives |
| 8.2 Fundamentals of Measurement Systems Analysis |
| 8.2.1 Basic Concepts |
| 8.2.2 Accuracy |
| 8.2.3 Precision |
| 8.2.4 Comparing Accuracy and Precision |
| 8.2.5 Quiz: Fundamentals of Measurement Systems Analysis |
| 8.3 Repeatability and Reproducibility |
| 8.3.1 Basic Concepts |
| 8.3.2 Gage R&R Studies |
| 8.3.3 Quiz: Repeatability and Reproducibility |
| 8.4 Graphical Analysis of a Gage R&R Study |
| 8.4.1 Basic Concepts |
| 8.4.2 Components of Variation |
| 8.4.3 Xbar and R Charts |
| 8.4.4 Interaction between Operator and Part |
| 8.4.5 Comparative Plots |
| 8.4.6 Gage Run Charts |
| 8.4.7 Quiz: Graphical Analysis of a Gage R&R Study |
| 8.4.8 Minitab Tools: Crossed Gage R&R Study |
| 8.4.9 Minitab Tools: Gage Run Chart |
| 8.4.10 Exercise: Graphical Analysis of a Gage R&R Study |
| 8.5 Variation |
| 8.5.1 Standard Deviation and Study Variation |
| 8.5.2 Tolerance |
| 8.5.3 Quiz: Variation |
| 8.5.4 Exercise: Numerical Analysis of a Gage R&R Study |
| 8.6 ANOVA with a Gage R&R Study |
| 8.6.1 Variance Components |
| 8.6.2 Analysis of Variance Tables |
| 8.6.3 Quiz: ANOVA with a Gage R&R Study |
| 8.6.4 Exercise: ANOVA Output for a Gage R&R Study |
| 8.7 Gage Linearity and Bias Study |
| 8.7.1 Basic Concepts |
| 8.7.2 Gage Linearity |
| 8.7.3 Gage Bias |
| 8.7.4 Quiz: Gage Linearity and Bias Study |
| 8.7.5 Minitab Tools: Gage Linearity and Bias Study |
| 8.7.6 Exercise: Gage Linearity and Bias Study |
| 8.8 Attribute Agreement Analysis |
| 8.8.1 Basic Concepts |
| 8.8.2 Binary Data |
| 8.8.3 Nominal Data |
| 8.8.4 Ordinal Data |
| 8.8.5 Quiz: Attribute Agreement Analysis |
| 8.8.6 Minitab Tools: Attribute Agreement Analysis with Binary Data |
| 8.8.7 Minitab Tools: Attribute Agreement Analysis with Nominal Data |
| 8.8.8 Minitab Tools: Attribute Agreement Analysis with Ordinal Data |
| 8.8.9 Exercise: Attribute Agreement Analysis |
| 8.9 Summary |
| 8.9.1 Objectives Review |
| Chapter 9: Design of Experiments |
| 9.1 Introduction |
| 9.1.1 Learning Objectives |
| 9.2 Factorial Designs |
| 9.2.1 Basic Concepts |
| 9.2.2 Creating Full Factorial Designs |
| 9.2.3 Analyzing Full Factorial Designs |
| 9.2.4 Quiz: Factorial Designs |
| 9.2.5 Minitab Tools: Create a Full Factorial Design |
| 9.2.6 Minitab Tools: Analyze a Full Factorial Design |
| 9.2.7 Exercise: Create a Full Factorial Design |
| 9.2.8 Exercise: Analyze a Full Factorial Design |
| 9.3 Blocking and Incorporating Center Points |
| 9.3.1 Blocking |
| 9.3.2 Center Points |
| 9.3.3 Analyzing Designs with Blocks and Center Points |
| 9.3.4 Quiz: Blocking and Incorporating Center Points |
| 9.3.5 Minitab Tools: Create a Factorial Design with Blocks and Center Points |
| 9.3.6 Minitab Tools: Analyze a Factorial Design with Blocks and Center Points |
| 9.3.7 Exercise: Create a Factorial Design with Blocks and Center Points |
| 9.3.8 Exercise: Analyze a Factorial Design with Blocks and Center Points |
| 9.4 Fractional Factorial Designs |
| 9.4.1 Basic Concepts |
| 9.4.2 Creating Fractional Factorial Designs |
| 9.4.3 Analyzing Fractional Factorial Designs |
| 9.4.4 Quiz: Fractional Factorial Designs |
| 9.4.5 Minitab Tools: Create a Fractional Factorial Design |
| 9.4.6 Minitab Tools: Analyze a Fractional Factorial Design |
| 9.5 Response Optimization |
| 9.5.1 Response Optimization |
| 9.5.2 Quiz: Response Optimization |
| 9.5.3 Minitab Tools: Response Optimization |
| 9.5.4 Exercise: Response Optimization |
| 9.6 Summary |
| 9.6.1 Objectives Review |
