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Course Outline

Chapter 1: Descriptive Statistics and Graphical Analysis

Introduction

  1. Learning Objectives
  2. Data Types

Foundational Concepts

  1. Categories of Data
  2. Quiz: Data Types

Utilising Graphs for Data Analysis

  1. Core 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: Visual Data Analysis
  10. Minitab Tool: Bar Chart
  11. Minitab Tool: Pie Chart
  12. Minitab Tool: Histogram
  13. Minitab Tool: Dotplot
  14. Minitab Tool: Individual Value Plot
  15. Minitab Tool: Boxplot
  16. Minitab Tool: Time Series Plot
  17. Practical Exercise: Graphical Analysis

Applying Statistics for Data Analysis

  1. Core Concepts
  2. Mean and Median
  3. Range, Variance, and Standard Deviation
  4. Quiz: Statistical Data Analysis
  5. Minitab Tool: Display Descriptive Statistics
  6. Practical Exercise: Descriptive Statistics

Summary and Objectives Recap

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: Inference Fundamentals
2.2.4 Minitab Tool: Random Sampling

2.3 Sampling Distributions

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

2.4 Normal Distribution

2.4.1 Core Concepts
2.4.2 Probabilities in a Normal Distribution
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 Practical Exercise: Probabilities and Normal Distributions

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 Hypothesis Testing and Confidence Intervals

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

3.1- Sample t-Test

3.3.1 Core Concepts
3.3.2 Individual Value Plots
3.3.3 1-Sample t-Test Outcomes
3.3.4 Underlying Assumptions
3.3.5 Quiz: 1-Sample t-Test
3.3.6 Minitab Tool: 1-Sample t-Test
3.3.7 Practical Exercise: 1-Sample t-Test

3.4 Variance Test

3.4.1 Core Concepts
3.4.2 Boxplots
3.4.3 2 Variance Test Outcomes
3.4.4 Underlying Assumptions
3.4.5 Quiz: 2 Variance Test
3.4.6 Minitab Tool: 2 Variance Test
3.4.7 Practical Exercise: 2 Variance Test

3.5 2-Sample t-Test

3.5.1 Core Concepts
3.5.2 Individual Value Plot
3.5.3 2-Sample t-Test Outcomes
3.5.4 Underlying Assumptions
3.5.5 Quiz: 2-Sample t-Test
3.5.6 Minitab Tool: 2-Sample t-Test
3.5.7 Practical Exercise: 2-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 Outcomes
3.6.4 Underlying Assumptions
3.6.5 Quiz: Paired t-Test
3.6.6 Minitab Tool: Paired t-Test
3.6.7 Practical Exercise: Paired t-Test

3.7 1-Proportion Test

3.7.1 Core Concepts
3.7.2 1-Proportion Test Outcomes
3.7.3 Underlying Assumptions
3.7.4 Quiz: 1-Proportion Test
3.7.5 Minitab Tool: 1-Proportion Test
3.7.6 Practical Exercise: 1-Proportion Test

3.8 2-Proportions Test

3.8.1 Core Concepts
3.8.2 2-Proportions Test Outcomes
3.8.3 Underlying Assumptions
3.8.4 Quiz: 2-Proportions Test
3.8.5 Minitab Tool: 2-Proportions Test
3.8.6 Practical Exercise: 2-Proportions Test

3.9 Chi-Square Test

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

4.3 Control Charts for Subgrouped Variable Data

4.3.1 Core Concepts
4.3.2 R Charts
4.3.3 S Charts
4.3.4 Xbar Charts
4.3.5 Quiz: Subgrouped Variable Data Charts
4.3.6 Minitab Tool: Xbar-R Chart
4.3.7 Practical 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: Individual Observation Charts
4.4.5 Minitab Tool: I-MR Chart
4.4.6 Practical 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: Attribute Data Charts
4.5.5 Minitab Tool: P Chart
4.5.6 Practical 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 Core Concepts
5.2.2 Underlying Assumptions
5.2.3 Testing for Normality
5.2.4 Quiz: Capability for Normal Data
5.2.5 Minitab Tool: Normality Test
5.2.6 Practical Exercise: Assumptions for 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 Practical Exercise: 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: 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 Practical Exercise: Capability with Data Transformations
5.4.12 Practical Exercise: Capability with Alternative Distributions

5.5 Summary

5.5.1 Objectives Recap

Chapter 6: Analysis of Variance (ANOVA)

6.1 Introduction and Learning Objectives

6.2 Fundamentals of ANOVA

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 Testing
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 Practical Exercise: One-Way ANOVA

6.4 Two-Way ANOVA

6.4.1 Core Concepts
6.4.2 Graphs
6.4.3 Hypothesis Testing
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 Practical 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 Core Concepts
7.2.2 Scatterplots
7.2.3 Correlation
7.2.4 Quiz: Quantitative Relationships
7.2.5 Minitab Tool: Scatterplot
7.2.6 Minitab Tool: Correlation
7.2.7 Practical 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 Practical 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 Core Concepts
8.2.2 Accuracy
8.2.3 Precision
8.2.4 Comparing Accuracy and Precision
8.2.5 Quiz: MSA 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: Gage R&R Graphical Analysis
8.4.8 Minitab Tool: Crossed Gage R&R Study
8.4.9 Minitab Tool: Gage Run Chart
8.4.10 Practical Exercise: Gage R&R Graphical Analysis

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 Practical Exercise: Numerical Gage R&R Analysis

8.6 ANOVA in Gage R&R Studies

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

8.7 Gage Linearity and Bias Study

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

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
8.8.6 Minitab Tool: Attribute Agreement (Binary Data)
8.8.7 Minitab Tool: Attribute Agreement (Nominal Data)
8.8.8 Minitab Tool: Attribute Agreement (Ordinal Data)
8.8.9 Practical Exercise: Attribute Agreement

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 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 Practical Exercise: Creating Full Factorial Design
9.2.8 Practical Exercise: Analyzing 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 Practical Exercise: Creating Factorial Design with Blocks and Center Points
9.3.8 Practical Exercise: Analyzing 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 Principles
9.5.2 Quiz: Response Optimization
9.5.3 Minitab Tool: Response Optimization
9.5.4 Practical Exercise: Response Optimization

9.6 Summary and Objectives Recap

Requirements

A basic understanding of Excel and statistics is required.

 14 Hours

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