Minitab for Statistical Data Analysis Training Course

Chapter 1: Descriptive Statistics and Graphical Analysis

Introduction

1. Learning Objectives
2. Types of Data

Core Principles

1. Data Classifications
2. Quiz: Data Types

Visualising Data with Graphs

1. Foundational Ideas
2. Bar and Pareto Charts
3. Pie Charts
4. Histograms
5. Dot Plots
6. Individual Value Plots
7. Box Plots
8. Time Series Plots
9. Quiz: Graphical 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

Statistical Data Analysis

1. Foundational Ideas
2. Mean and Median
3. Range, Variance, and Standard Deviation
4. Quiz: Statistical Data Analysis
5. Minitab Tools: Display Descriptive Statistics
6. Exercise: Descriptive Statistics

Summary and Objectives Recap

Chapter 2: Statistical Inference

2.1 Introduction

2.1.1 Learning Objectives
2.2 Foundations of Statistical Inference
2.2.1 Basic Principles
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 Basic Principles
2.3.2 Sampling Distribution of the Mean
2.3.3 Quiz: Sampling Distributions

2.4 The Normal Distribution

2.4.1 Basic Principles
2.4.2 Normal Distribution Probabilities
2.4.3 Probabilities Related to the Sample Mean
2.4.4 Quiz: Normal Distribution
2.4.5 Minitab Tools: Cumulative Normal Probabilities
2.4.6 Exercise: Normal Distribution Probabilities

2.5 Summary

2.5.1 Objectives Recap

Chapter 3: Hypothesis Tests and Confidence Intervals

3.1 Introduction

3.1.1 Learning Objectives

3.2 Testing and Confidence Intervals

3.2.1 Confidence Intervals
3.2.2 Hypothesis Testing
3.2.3 Decision-Making via Hypothesis Testing
3.2.4 Type I and Type II Errors and Power
3.2.5 Quiz: Tests and Confidence Intervals

3.3 One-Sample t-Test

3.3.1 Basic Principles
3.3.2 Individual Value Plots
3.3.3 One-Sample t-Test Results
3.3.4 Assumptions
3.3.5 Quiz: One-Sample t-Test
3.3.6 Minitab Tools: One-Sample t-Test
3.3.7 Exercise: One-Sample t-Test

3.4 Two-Variance Test

3.4.1 Basic Principles
3.4.2 Box Plots
3.4.3 Two-Variance Test Results 3.4.4 Assumptions
3.4.5 Quiz: Two-Variance Test
3.4.6 Minitab Tools: Two-Variance Test
3.4.7 Exercise: Two-Variance Test

3.5 Two-Sample t-Test

3.5.1 Basic Principles
3.5.2 Individual Value Plots
3.5.3 Two-Sample t-Test Results
3.5.4 Assumptions
3.5.5 Quiz: Two-Sample t-Test
3.5.6 Minitab Tools: Two-Sample t-Test
3.5.7 Exercise: Two-Sample t-Test

3.6 Paired t-Test

3.6.1 Basic Principles
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 Basic Principles
3.7.2 One-Proportion Test Results
3.7.3 Assumptions
3.7.4 Quiz: One-Proportion Test
3.7.5 Minitab Tools: One-Proportion Test
3.7.6 Exercise: One-Proportion Test

3.8 Two-Proportion Test

3.8.1 Basic Principles
3.8.2 Two-Proportion Test Results
3.8.3 Assumptions
3.8.4 Quiz: Two-Proportion Test
3.8.5 Minitab Tools: Two-Proportion Test
3.8.6 Exercise: Two-Proportion Test

3.9 Chi-Square Test

3.9.1 Basic Principles
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 Recap

Chapter 4: Control Charts

4.1 Introduction

4.1.1 Learning Objectives

4.2 Statistical Process Control

4.2.1 Basic Principles
4.2.2 Patterns in Control Charts
4.2.3 Quiz: Statistical Process Control

4.3 Control Charts for Subgrouped Variable Data

4.3.1 Basic Principles
4.3.2 R Charts
4.3.3 S Charts
4.3.4 X-bar Charts
4.3.5 Quiz: Control Charts for Subgrouped Variable Data
4.3.6 Minitab Tools: X-bar-R Chart
4.3.7 Exercise: X-bar-R Chart

4.4 Control Charts for Individual Observations

4.4.1 Basic Principles
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 Principles
4.5.2 NP and P Charts
4.5.3 C and U Charts
4.5.4 Quiz: Attribute Data Control Charts
4.5.5 Minitab Tools: P Chart
4.5.6 Exercise: P Chart

4.6 Summary and Objectives Recap

Chapter 5: Process Capability

5.1 Introduction

5.1.1 Learning Objectives

5.2 Process Capability for Normal Data

5.2.1 Basic Principles
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: Process Capability Assumptions

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 Objectives Recap

Chapter 6: Analysis of Variance (ANOVA)

6.1 Introduction and Learning Objectives

6.2 ANOVA Fundamentals

6.2.1 Basic Principles
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 Basic Principles
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 Basic Principles
7.2.2 Scatter Plots
7.2.3 Correlation
7.2.4 Quiz: Relationships Between Quantitative Variables
7.2.5 Minitab Tools: Scatter Plot
7.2.6 Minitab Tools: Correlation
7.2.7 Exercise: Scatter Plots and Correlation

7.3 Simple Regression

7.3.1 Basic Principles
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 Objectives Recap

Chapter 8: Measurement Systems Analysis

8.1 Introduction

8.1.1 Learning Objectives

8.2 Fundamentals of Measurement Systems Analysis

8.2.1 Basic Principles
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 Principles
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 Principles
8.4.2 Components of Variation
8.4.3 X-bar 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 Basic Principles
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 Principles
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 Recap

Chapter 9: Design of Experiments

9.1 Introduction and Learning Objectives

9.2 Factorial Designs

9.2.1 Basic Principles
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 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 Principles
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 Objectives Recap