Minitab for Statistical Data Analysis Training Course

Chapter 1: Descriptive Statistics and Graphical Analysis

Introduction

1. Learning Objectives
2. Types of Data

Basic Concepts

1. Data Types
2. Quiz: Types of Data

Using Graphs to Analyze Data

1. Basic Concepts
2. Bar Charts and Pareto Charts
3. Pie Charts
4. Histograms
5. Dotplots
6. Individual Value Plots
7. Boxplots
8. Time Series Plots
9. Quiz: Using Graphs to Analyze Data
10. Minitab Tools: Bar Chart
11. Minitab Tools: Pie Chart
12. Minitab Tools: Histogram
13. Minitab Tools: Dotplot
14. Minitab Tools: Individual Value Plot
15. Minitab Tools: Boxplot
16. Minitab Tools: Times Series Plot
17. Exercise: Graphical Analysis for Government

Using Statistics to Analyze Data

1. Basic Concepts
2. Mean and Median
3. Range, Variance, and Standard Deviation
4. Quiz: Using Statistics to Analyze Data for Government
5. Minitab Tools: Display Descriptive Statistics
6. Exercise: Descriptive Statistics for Government

Summary and 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 for Government
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 for Government

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 for Government
2.4.5 Minitab Tools: Cumulative Probabilities with a Normal Distribution
2.4.6 Exercise: Probabilities and Normal Distributions for Government

2.5 Summary

2.5.1 Objectives Review for Government

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 for Government

3.3 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 for Government
3.3.6 Minitab Tools: 1-Sample t-Test
3.3.7 Exercise: 1-Sample t-Test for Government

3.4 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 for Government
3.4.6 Minitab Tools: 2 Variances Test
3.4.7 Exercise: 2 Variances Test for Government

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 for Government
3.5.6 Minitab Tools: 2-Sample t-Test
3.5.7 Exercise: 2-Sample t-Test for Government

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 for Government
3.6.6 Minitab Tools: Paired t-Test
3.6.7 Exercise: Paired t-Test for Government

3.7 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 for Government
3.7.5 Minitab Tools: 1 Proportion Test
3.7.6 Exercise: 1 Proportion Test for Government

3.8 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 for Government
3.8.5 Minitab Tools: 2 Proportions Test
3.8.6 Exercise: 2 Proportions Test for Government

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 for Government
3.9.5 Minitab Tools: Chi-Square Test
3.9.6 Exercise: Chi-Square Test for Government

3.10 Summary

3.10.1 Objectives Review for Government

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 for Government

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 for Government
4.3.6 Minitab Tools: Xbar-R Chart
4.3.7 Exercise: Xbar-R Chart for Government

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 for Government
4.4.5 Minitab Tools: I-MR Chart
4.4.6 Exercise: I-MR Chart for Government

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 for Government
4.5.5 Minitab Tools: P Chart
4.5.6 Exercise: P Chart for Government

4.6 Summary and 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 for Government
5.2.5 Minitab Tools: Normality Test
5.2.6 Exercise: Assumptions for Process Capability for Government

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 for Government
5.3.5 Minitab Tools: Cp and Pp
5.3.6 Minitab Tools: Sigma Level
5.3.7 Exercise: Process Capability for Normal Data for Government

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 Nonormal Data for Government
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 for Government
5.4.12 Exercise: Process Capability with Alternate Distributions for Government

5.5 Summary

5.5.1 Objectives Review for Government

Chapter 6: Analysis of Variance (ANOVA)

6.1 Introduction and 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 for Government

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 for Government
6.3.6 Minitab Tools: One-Way ANOVA
6.3.7 Exercise: One-Way ANOVA for Government

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 for Government
6.4.7 Minitab Tools: Two-Way ANOVA
6.4.8 Exercise: Two-Way ANOVA for Government

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 Concepts
7.2.2 Scatterplot
7.2.3 Correlation
7.2.4 Quiz: Relationship Between Two Quantitative Variables for Government
7.2.5 Minitab Tools: Scatterplot
7.2.6 Minitab Tools: Correlation
7.2.7 Exercise: Scatterplots and Correlation for Government

7.3 Simple Regression

7.3.1 Basic 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 for Government
7.3.6 Minitab Tools: Simple Regression
7.3.7 Exercise: Simple Regression for Government

7.4 Summary and Objectives Review for Government

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 for Government

8.3 Repeatability and Reproducibility

8.3.1 Basic Concepts
8.3.2 Gage R&R Studies
8.3.3 Quiz: Repeatability and Reproducibility for Government

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 for Government
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 for Government

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 for Government
8.5.5 Exercise: Numerical Analysis of a Gage R&R Study for Government

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 for Government
8.6.4 Exercise: ANOVA Output for a Gage R&R Study for Government

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 for Government
8.7.5 Minitab Tools: Gage Linearity and Bias Study
8.7.6 Exercise: Gage Linearity and Bias Study for Government

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 for Government
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 for Government

8.9 Summary

8.9.1 Objectives Review for Government

Chapter 9: Design of Experiments

9.1 Introduction and 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 for Government
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 for Government
9.2.8 Exercise: Analyze a Full Factorial Design for Government

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 for Government
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 for Government
9.3.8 Exercise: Analyze a Factorial Design with Blocks and Center Points for Government

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 for Government
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 for Government
9.5.3 Minitab Tools: Response Optimization
9.5.4 Exercise: Response Optimization for Government

9.6 Summary and Objectives Review for Government