Minitab for Statistical Data Analysis Training Course

Chapter 1: Descriptive Statistics and Graphical Analysis

Introduction

1. Learning Objectives
2. Data Types

Core Concepts

1. Data Classifications
2. Quiz: Data Types

Analyzing Data Through Visualization

1. Foundational Concepts
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: Visual Data Analysis
10. Minitab Tool: Bar Chart
11. Minitab Tool: Pie Chart
12. Minitab Tool: Histogram
13. Minitab Tool: Dot Plot
14. Minitab Tool: Individual Value Plot
15. Minitab Tool: Box Plot
16. Minitab Tool: Time Series Plot
17. Exercise: Graphical Analysis

Analyzing Data Using Statistical Metrics

1. Foundational Concepts
2. Mean and Median
3. Range, Variance, and Standard Deviation
4. Quiz: Statistical Data Analysis
5. Minitab Tool: 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 Fundamentals of Statistical Inference
2.2.1 Core Concepts
2.2.2 Random Sampling
2.2.3 Quiz: Fundamentals of Statistical Inference
2.2.4 Minitab Tool: Random Sampling

2.3 Sampling Distributions

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

2.4 Normal Distribution

2.4.1 Core Concepts
2.4.2 Probabilities in Normal Distributions
2.4.3 Probabilities Associated with the Sample Mean
2.4.4 Quiz: Normal Distribution
2.4.5 Minitab Tool: Cumulative Probabilities for 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 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: Hypothesis Tests and Confidence Intervals

3.3 One-Sample t-Test

3.3.1 Core Concepts
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 Tool: One-Sample t-Test
3.3.7 Exercise: One-Sample t-Test

3.4 Two Variances Test

3.4.1 Core Concepts
3.4.2 Box Plots
3.4.3 Two Variances Test Results
3.4.4 Assumptions
3.4.5 Quiz: Two Variances Test
3.4.6 Minitab Tool: Two Variances Test
3.4.7 Exercise: Two Variances Test

3.5 Two-Sample t-Test

3.5.1 Core Concepts
3.5.2 Individual Value Plot
3.5.3 Two-Sample t-Test Results
3.5.4 Assumptions
3.5.5 Quiz: Two-Sample t-Test
3.5.6 Minitab Tool: Two-Sample t-Test
3.5.7 Exercise: Two-Sample t-Test

3.6 Paired t-Test

3.6.1 Core 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 Tool: Paired t-Test
3.6.7 Exercise: Paired t-Test

3.7 One Proportion Test

3.7.1 Core Concepts
3.7.2 One Proportion Test Results
3.7.3 Assumptions
3.7.4 Quiz: One Proportion Test
3.7.5 Minitab Tool: One Proportion Test
3.7.6 Exercise: One Proportion Test

3.8 Two Proportions Test

3.8.1 Core Concepts
3.8.2 Two Proportions Test Results
3.8.3 Assumptions
3.8.4 Quiz: Two Proportions Test
3.8.5 Minitab Tool: Two Proportions Test
3.8.6 Exercise: Two Proportions Test

3.9 Chi-Square Test

3.9.1 Core Concepts
3.9.2 Chi-Square Test Results
3.9.3 Assumptions
3.9.4 Quiz: Chi-Square Test
3.9.5 Minitab Tool: 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 Core Concepts
4.2.2 Identifying Patterns in Control Charts
4.2.3 Quiz: Statistical Process Control

4.3 Control Charts for Variable Data with Subgroups

4.3.1 Core 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 (Subgroups)
4.3.6 Minitab Tool: Xbar-R Chart
4.3.7 Exercise: Xbar-R Chart

4.4 Control Charts for Individual Observations

4.4.1 Core 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 Tool: I-MR Chart
4.4.6 Exercise: I-MR Chart

4.5 Control Charts for Attribute Data

4.5.1 Core 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 Tool: 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 Core Concepts
5.2.2 Assumptions
5.2.3 Testing for Normality
5.2.4 Quiz: Process Capability for Normal Data
5.2.5 Minitab Tool: 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 Tool: Cp and Pp
5.3.6 Minitab Tool: Sigma Level
5.3.7 Exercise: Process Capability for Normal Data

5.4 Process Capability for Non-Normal Data

5.4.1 Transformations and Alternative Distributions
5.4.2 Box-Cox Transformation
5.4.3 Johnson Transformation
5.4.4 Alternative Distributions
5.4.5 Quiz: Process Capability for Non-Normal Data
5.4.6 Minitab Tool: Box-Cox Transformation
5.4.7 Minitab Tool: Johnson Transformation
5.4.8 Minitab Tool: Capability Analysis with Johnson Transformation
5.4.9 Minitab Tool: Alternative Distributions
5.4.10 Minitab Tool: Capability Analysis with Alternative Distributions
5.4.11 Exercise: Process Capability with Data Transformations
5.4.12 Exercise: Process Capability with Alternative 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 Core 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 Tool: One-Way ANOVA
6.3.7 Exercise: One-Way ANOVA

6.4 Two-Way ANOVA

6.4.1 Core 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 Tool: 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 Relationships Between Two Quantitative Variables

7.2.1 Core Concepts
7.2.2 Scatterplots
7.2.3 Correlation
7.2.4 Quiz: Relationships Between Two Quantitative Variables
7.2.5 Minitab Tool: Scatterplot
7.2.6 Minitab Tool: Correlation
7.2.7 Exercise: Scatterplots and Correlation

7.3 Simple Regression

7.3.1 Core Concepts
7.3.2 Regression Analysis
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 Tool: 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 Measurement Systems Analysis Fundamentals

8.2.1 Core Concepts
8.2.2 Accuracy
8.2.3 Precision
8.2.4 Comparing Accuracy and Precision
8.2.5 Quiz: Measurement Systems Analysis Fundamentals

8.3 Repeatability and Reproducibility

8.3.1 Core Concepts
8.3.2 Gage R&R Studies
8.3.3 Quiz: Repeatability and Reproducibility

8.4 Graphical Analysis of Gage R&R Studies

8.4.1 Core Concepts
8.4.2 Components of Variation
8.4.3 Xbar and R Charts
8.4.4 Operator-Part Interaction
8.4.5 Comparative Plots
8.4.6 Gage Run Charts
8.4.7 Quiz: Graphical Analysis of Gage R&R Studies
8.4.8 Minitab Tool: Crossed Gage R&R Study
8.4.9 Minitab Tool: Gage Run Chart
8.4.10 Exercise: Graphical Analysis of Gage R&R Studies

8.5 Variation Analysis

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 Gage R&R Studies

8.6 ANOVA in Gage R&R Studies

8.6.1 Variance Components
8.6.2 Analysis of Variance Tables
8.6.3 Quiz: ANOVA in Gage R&R Studies
8.6.4 Exercise: ANOVA Output for Gage R&R Studies

8.7 Gage Linearity and Bias Studies

8.7.1 Core Concepts
8.7.2 Gage Linearity
8.7.3 Gage Bias
8.7.4 Quiz: Gage Linearity and Bias Studies
8.7.5 Minitab Tool: Gage Linearity and Bias Study
8.7.6 Exercise: Gage Linearity and Bias Studies

8.8 Attribute Agreement Analysis

8.8.1 Core 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 Tool: Attribute Agreement Analysis (Binary Data)
8.8.7 Minitab Tool: Attribute Agreement Analysis (Nominal Data)
8.8.8 Minitab Tool: Attribute Agreement Analysis (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 Core 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 Tool: Create Full Factorial Design
9.2.6 Minitab Tool: Analyze Full Factorial Design
9.2.7 Exercise: Create Full Factorial Design
9.2.8 Exercise: Analyze Full Factorial Design

9.3 Blocking and 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 Tool: Create Factorial Design with Blocks and Center Points
9.3.6 Minitab Tool: Analyze Factorial Design with Blocks and Center Points
9.3.7 Exercise: Create Factorial Design with Blocks and Center Points
9.3.8 Exercise: Analyze Factorial Design with Blocks and Center Points

9.4 Fractional Factorial Designs

9.4.1 Core 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 Tool: Create Fractional Factorial Design
9.4.6 Minitab Tool: Analyze Fractional Factorial Design

9.5 Response Optimization

9.5.1 Response Optimization
9.5.2 Quiz: Response Optimization
9.5.3 Minitab Tool: Response Optimization
9.5.4 Exercise: Response Optimization

9.6 Summary and Review of Objectives