# Statistics, Hypothesis Testing, & Regression

This 4-day course teaches the fundamental concepts and methods needed to organize and analyze data and to make objective decisions based on the data. Participants will also learn to compare groups in order to determine whether they are statistically similar or not. Furthermore, the course instructs in the development of mathematical models to predict outcomes and understand key factors affecting processes. Knowledge of basic algebra is helpful. Minitab statistical software is utilized, but the understanding of underlying concepts and methods is stressed.

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## Course Content

Basic Statistics & Distributions

• Data Types
• Populations & Samples
• Measures of Central Tendency and Variation
• Probability Distributions
• The Normal Distribution

Graphical Analysis

• Pareto Charts
• Run Charts
• Boxplots
• Histograms
• Scatter Plots

Hypothesis Testing: A Single Process

• Hypothesis Testing for Means
• Test Statistics & Critical Values
• Type I and Type II Errors
• P-values
• Confidence Intervals
• Hypothesis Testing for Paired Data
• Hypothesis Testing for a Proportion
• Hypothesis Testing for a Variances

Hypothesis Testing: Two Processes

• Hypothesis Testing for Two Variances
• Hypothesis Testing for Two Means
• Hypothesis Testing for Two Proportions

Hypothesis Testing: Multiple Processes

• Using ANOVA for Comparing Means
• Testing ANOVA Assumptions
• Performing ANOVA using Software
• Tukey's Method for Multiple Comparisons

Relating Two Variables

• Scatter Plots
• Correlation Coefficient

Linear Models with a Single Factor

• Model Building Concepts
• Simple Linear Regression
• R Squared
• Residual Analysis
• Hypothesis Testing for the Model
• Making Predictions
• Confidence and Prediction Intervals

Linear Models with Multiple Factors

• Multiple Regression
• Testing for Significant Explanatory Variables
• Model Performance
• Model Building Strategies and Tools
• Confidence and Prediction Intervals
• Multi-collinearity
• Influential Data Points