Minitab for Statistical Data Analysis Training Course

Chapter 1: Descriptive Statistics and Graphical Analysis

Introduction

1. Learning Objectives
2. Data Categories

Fundamental Concepts

1. Types of Data
2. Quiz: Data Types

Applying Graphs for Data Analysis

1. Fundamental Concepts
2. Bar Charts and Pareto Charts
3. Pie Charts
4. Histograms
5. Dot Plots
6. Individual Value Plots
7. Box Plots
8. Time Series Plots
9. Quiz: Applying Graphs for Data Analysis
10. Minitab Tools: Bar Chart
11. Minitab Tools: Pie Chart
12. Minitab Tools: Histogram
13. Minitab Tools: Dot Plot
14. Minitab Tools: Individual Value Plot
15. Minitab Tools: Box Plot
16. Minitab Tools: Time Series Plot
17. Exercise: Graphical Analysis

Utilizing Statistics for Data Analysis

1. Fundamental Concepts
2. Mean and Median
3. Range, Variance, and Standard Deviation
4. Quiz: Utilizing Statistics for Data Analysis
5. Minitab Tools: Display Descriptive Statistics
6. Exercise: Descriptive Statistics

Summary and Review of Objectives

Chapter 2: Statistical Inference

2.1 Introduction

2.1.1 Learning Objectives
2.2 Foundations of Statistical Inference
2.2.1 Fundamental Concepts
2.2.2 Random Samples
2.2.3 Quiz: Foundations of Statistical Inference
2.2.4 Minitab Tools: Random Sampling

2.3 Sampling Distributions

2.3.1 Fundamental Concepts
2.3.2 Sampling Distribution of the Mean
2.3.3 Quiz: Sampling Distributions

2.4 Normal Distribution

2.4.1 Fundamental Concepts
2.4.2 Probabilities Related to a Normal Distribution
2.4.3 Probabilities Related to 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 Review of Objectives

Chapter 3: Hypothesis Tests and Confidence Intervals

3.1 Introduction

3.1.1 Learning Objectives

3.2 Hypothesis Tests and Confidence Intervals

3.2.1 Confidence Intervals
3.2.2 Hypothesis Testing
3.2.3 Making Decisions Using Hypothesis Testing
3.2.4 Type I and Type II Errors and Power
3.2.5 Quiz: Hypothesis Tests and Confidence Intervals

3.3 One-Sample t-Test

3.3.1 Fundamental 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 Two Variances Test

3.4.1 Fundamental Concepts
3.4.2 Box Plots
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 Two-Sample t-Test

3.5.1 Fundamental 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 Fundamental 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 One Proportion Test

3.7.1 Fundamental 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 Two Proportions Test

3.8.1 Fundamental 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 Fundamental 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 Review of Objectives

Chapter 4: Control Charts

4.1 Introduction

4.1.1 Learning Objectives

4.2 Statistical Process Control

4.2.1 Fundamental Concepts
4.2.2 Patterns in Control Charts
4.2.3 Quiz: Statistical Process Control

4.3 Control Charts for Variable Data in Subgroups

4.3.1 Fundamental Concepts
4.3.2 R Charts
4.3.3 S Charts
4.3.4 Xbar Charts
4.3.5 Quiz: Control Charts for Variable 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 Fundamental 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 Fundamental Concepts
4.5.2 NP and P Charts
4.5.3 C and U Charts
4.5.4 Quiz: Control Charts for Attribute Data
4.5.5 Minitab Tools: P Chart
4.5.6 Exercise: P Chart

4.6 Summary and Review of Objectives

Chapter 5: Process Capability

5.1 Introduction

5.1.1 Learning Objectives

5.2 Process Capability for Normal Data

5.2.1 Fundamental Concepts
5.2.2 Assumptions
5.2.3 Normality Testing
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 Non-Normal 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 Non-Normal 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 Review of Objectives

Chapter 6: Analysis of Variance (ANOVA)

6.1 Introduction and Learning Objectives

6.2 ANOVA Fundamentals

6.2.1 Fundamental Concepts
6.2.2 Graphs and Summary Statistics
6.2.3 Quiz: ANOVA Fundamentals

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 Fundamental 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

Chapter 7: Correlation and Regression

7.1 Introduction

7.1.1 Learning Objectives

7.2 Relationship Between Two Quantitative Variables

7.2.1 Fundamental 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 Fundamental Concepts
7.3.2 Regression
7.3.3 Hypothesis Tests and R-squared
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 and Review of Objectives

Chapter 8: Measurement Systems Analysis

8.1 Introduction

8.1.1 Learning Objectives

8.2 Fundamentals of Measurement Systems Analysis

8.2.1 Fundamental 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 Fundamental 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 Fundamental 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 Process Variation
8.5.4 Quiz: Variation
8.5.5 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 Fundamental 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 Fundamental 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 Review of Objectives

Chapter 9: Design of Experiments

9.1 Introduction and Learning Objectives

9.2 Factorial Designs

9.2.1 Fundamental 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 Fundamental 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 and Review of Objectives