Statistics Foundations: Advanced Topics

Introduction

• The power of advanced statistics

1. Comparing Two Populations: Proportions

• Explanation of two population comparisons
• Two population: Confidence interval example
• Two population: Hypothesis test example

2. Comparing Two Populations: Means

• Explanation of two population mean comparisons
• Visualization: Re-randomizing
• Two population means: Confidence interval example
• Two population means: Hypothesis test example

3. T-Tests

• T-distribution vs. z-distribution
• T-score tables and degrees of freedom
• Use T-scores to develop confidence intervals

4. ANOVA: Analysis of Variance

• ANOVA: What is analysis of variance?
• One-way ANOVA and the sum of squares total (SST)
• Sum of squares within (SSW) and sum of squares between (SSB)
• F-statistic and ANOVA hypothesis test example

5. Regression Analysis

• What is regression?
• Regression best fit line
• Coefficient of determination (R-squared)
• The correlation coefficient

Continuing Your Advanced Statistics Learning Journey

• Next steps and additional resources