Course Outline

Describing Bivariate Data

  • 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

  • Introduction
  • Basic Concepts
  • Conditional Probability Demo
  • Gamblers Fallacy Simulation
  • Birthday Demonstration
  • Binomial Distribution
  • Binomial Demonstration
  • Base Rates
  • Bayes' Theorem Demonstration
  • Monty Hall Problem Demonstration
  • Exercises

Normal Distributions

  • Introduction
  • History
  • Areas of Normal Distributions
  • Varieties of Normal Distribution Demo
  • Standard Normal
  • Normal Approximation to the Binomial
  • Normal Approximation Demo
  • Exercises

Sampling Distributions

  • 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

  • Introduction
  • Degrees of Freedom
  • Characteristics of Estimators
  • Bias and Variability Simulation
  • Confidence Intervals
  • Exercises

Logic of Hypothesis Testing

  • 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

  • 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

  • Introduction
  • Factors Affecting Power
  • Why power matters
  • Exercises

Prediction

  • 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

  • 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

  • Chi Square Distribution
  • One-Way Tables
  • Testing Distributions Demo
  • Contingency Tables
  • 2 x 2 Table Simulation
  • Exercises

Requirements

The delegates should have completed Statistics Level 1 course or have equivalent work experience.

  28 Hours
 

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