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Course Outline
Analyzing Bivariate Data
- Overview of Bivariate Data
- Understanding Pearson Correlation Coefficients
- Interactive Correlation Guessing Simulation
- Key Properties of Pearson's r
- Calculating Pearson's r
- Demonstration of Range Restriction
- Variance Sum Law II
- Practice Exercises
Probability Theory
- Introduction to Probability
- Fundamental Concepts
- Conditional Probability Demonstration
- Gambler's Fallacy Simulation
- Birthday Paradox Demonstration
- The Binomial Distribution
- Binomial Distribution Demonstration
- Understanding Base Rates
- Bayes' Theorem Demonstration
- Monty Hall Problem Demonstration
- Practice Exercises
Normal Distributions
- Introduction to Normal Distributions
- Historical Context
- Calculating Areas Under Normal Distributions
- Varieties of Normal Distribution Demo
- The Standard Normal Distribution
- Normal Approximation of the Binomial Distribution
- Normal Approximation Demonstration
- Practice Exercises
Sampling Distributions
- Introduction to Sampling Distributions
- Fundamental Demonstrations
- Impact of 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 Techniques
- Introduction to Estimation
- Understanding Degrees of Freedom
- Properties of Estimators
- Bias and Variability Simulation
- Confidence Intervals
- Practice Exercises
The Logic of Hypothesis Testing
- Introduction to Hypothesis Testing
- Significance Testing Methods
- Type I and Type II Errors
- One-Tailed and Two-Tailed Tests
- Interpreting Statistically Significant Results
- Interpreting Non-Significant Results
- Steps in Hypothesis Testing
- Linking Significance Testing and Confidence Intervals
- Common Misconceptions
- Practice Exercises
Testing Means
- Single Mean Analysis
- t-Distribution Demonstration
- Comparing Two Means (Independent Groups)
- Robustness Simulation
- All Pairwise Comparisons Among Means
- Specific Comparisons
- Comparing Two Means (Correlated Pairs)
- Correlated t-Simulation
- Specific Comparisons (Correlated Observations)
- Pairwise Comparisons (Correlated Observations)
- Practice Exercises
Statistical Power
- Introduction to Power
- Factors Influencing Power
- Importance of Statistical Power
- Practice Exercises
Prediction Models
- 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
Analysis of Variance (ANOVA)
- Introduction to ANOVA
- ANOVA Design Types
- One-Factor ANOVA (Between-Subjects)
- One-Way ANOVA Demonstration
- Multi-Factor ANOVA (Between-Subjects)
- Handling Unequal Sample Sizes
- Supplementary Tests for ANOVA
- Within-Subjects ANOVA
- Power of Within-Subjects Designs Demonstration
- Practice Exercises
Chi-Square Analysis
- The Chi-Square Distribution
- One-Way Frequency Tables
- Testing Distributions Demonstration
- Contingency Tables
- 2 x 2 Table Simulation
- Practice Exercises
Requirements
Participants must have completed the Statistics Level 1 course or possess equivalent professional experience.
28 Hours
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