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Course Outline
Describing Bivariate Data for Government
- Introduction to Bivariate Data
- Values of the Pearson Correlation
- Guessing Correlations Simulation
- Properties of Pearson's r
- Computing Pearson's r
- Restriction of Range Demo
- Variance Sum Law II
- Exercises
Probability for Government
- Introduction
- Basic Concepts
- Conditional Probability Demo
- Gambler's Fallacy Simulation
- Birthday Demonstration
- Binomial Distribution
- Binomial Demonstration
- Base Rates
- Bayes' Theorem Demonstration
- Monty Hall Problem Demonstration
- Exercises
Normal Distributions for Government
- Introduction
- History
- Areas of Normal Distributions
- Varieties of Normal Distribution Demo
- Standard Normal
- Normal Approximation to the Binomial
- Normal Approximation Demo
- Exercises
Sampling Distributions for Government
- Introduction
- Basic Demo
- Sample Size Demo
- Central Limit Theorem Demo
- Sampling Distribution of the Mean
- Sampling Distribution of Difference Between Means
- Sampling Distribution of Pearson's r
- Sampling Distribution of a Proportion
- Exercises
Estimation for Government
- Introduction
- Degrees of Freedom
- Characteristics of Estimators
- Bias and Variability Simulation
- Confidence Intervals
- Exercises
Logic of Hypothesis Testing for Government
- Introduction
- Significance Testing
- Type I and Type II Errors
- One- and Two-Tailed Tests
- Interpreting Significant Results
- Interpreting Non-Significant Results
- Steps in Hypothesis Testing
- Significance Testing and Confidence Intervals
- Misconceptions
- Exercises
Testing Means for Government
- Single Mean
- t Distribution Demo
- 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)
- Exercises
Power for Government
- Introduction
- Factors Affecting Power
- Why Power Matters
- Exercises
Prediction for Government
- Introduction to Simple Linear Regression
- Linear Fit Demo
- Partitioning Sums of Squares
- Standard Error of the Estimate
- Prediction Line Demo
- Inferential Statistics for b and r
- Exercises
ANOVA for Government
- Introduction
- ANOVA Designs
- One-Factor ANOVA (Between-Subjects)
- One-Way Demo
- Multi-Factor ANOVA (Between-Subjects)
- Unequal Sample Sizes
- Tests Supplementing ANOVA
- Within-Subjects ANOVA
- Power of Within-Subjects Designs Demo
- Exercises
Chi Square for Government
- Chi Square Distribution
- One-Way Tables
- Testing Distributions Demo
- Contingency Tables
- 2 x 2 Table Simulation
- Exercises
Requirements
Delegates should have either completed the Statistics Level 1 course or possess equivalent work experience for government roles.
28 Hours
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