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Course Outline
Describing Bivariate Data
- Introduction to Bivariate Data
- Pearson Correlation Coefficients
- Correlation Guessing Simulation
- Characteristics of Pearson's r
- Calculating Pearson's r
- Range Restriction Demonstration
- Variance Sum Law II
- Practice Exercises
Probability
- Overview
- Fundamental Concepts
- Conditional Probability Demonstration
- Gambler's Fallacy Simulation
- Birthday Paradox Demonstration
- Binomial Distribution
- Binomial Distribution Demonstration
- Base Rates
- Bayes' Theorem Demonstration
- Monty Hall Problem Demonstration
- Practice Exercises
Normal Distributions
- Overview
- Historical Context
- Calculating Areas Under Normal Curves
- Variations of Normal Distributions Demo
- Standard Normal Distribution
- Approximating the Binomial with Normal Distribution
- Normal Approximation Demonstration
- Practice Exercises
Sampling Distributions
- Overview
- Foundational Demonstration
- Sample Size Demonstration
- Central Limit Theorem Demonstration
- Sampling Distribution of the Mean
- Sampling Distribution of the Difference Between Means
- Sampling Distribution of Pearson's r
- Sampling Distribution of a Proportion
- Practice Exercises
Estimation
- Overview
- Degrees of Freedom
- Properties of Estimators
- Bias and Variability Simulation
- Confidence Intervals
- Practice Exercises
Logic of Hypothesis Testing
- Overview
- Significance Testing
- Type I and Type II Errors
- One-Tailed and Two-Tailed Tests
- Interpreting Significant Results
- Interpreting Non-Significant Results
- Procedure for Hypothesis Testing
- Linking Significance Testing and Confidence Intervals
- Common Misconceptions
- Practice Exercises
Testing Means
- Single Mean
- t-Distribution Demonstration
- Difference Between Two Means (Independent Groups)
- Robustness Simulation
- All Pairwise Comparisons Among Means
- Specific Comparisons
- Difference Between Two Means (Correlated Pairs)
- Correlated t Simulation
- Specific Comparisons (Correlated Observations)
- Pairwise Comparisons (Correlated Observations)
- Practice Exercises
Power
- Overview
- Factors Influencing Power
- Importance of Statistical Power
- Practice Exercises
Prediction
- Introduction to Simple Linear Regression
- Linear Fit Demonstration
- Partitioning Sums of Squares
- Standard Error of the Estimate
- Prediction Line Demonstration
- Inferential Statistics for b and r
- Practice Exercises
ANOVA
- Overview
- ANOVA Designs
- One-Factor ANOVA (Between-Subjects)
- One-Way Demo
- Multi-Factor ANOVA (Between-Subjects)
- Handling Unequal Sample Sizes
- Supplemental Tests for ANOVA
- Within-Subjects ANOVA
- Power of Within-Subjects Designs Demo
- Practice Exercises
Chi Square
- Chi-Square Distribution
- One-Way Tables
- Testing Distributions Demo
- Contingency Tables
- 2 x 2 Table Simulation
- Practice Exercises
Requirements
Participants must have successfully completed the Statistics Level 1 course or possess equivalent professional experience.
28 Hours
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