Statistics Level 2 Training Course

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

• Introduction
• Confidence Interval for the Mean
• t distribution
• Confidence Interval Simulation
• Confidence Interval for the Difference Between Means
• Confidence Interval for Pearson's Correlation
• Confidence Interval for a Proportion

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

Signficance Testing and Confidence Intervals

Misconceptions

Exercises

Testing Means

Single Mean

t Distribution Demo

Difference between Two Means (Independent Groups)

Robustnes 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

Example Calculations

Power Demo 1

Power Demo 2

Factors Affecting Power

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

Case Studies

Angry Moods

Flatulence

Physicians Reactions to Patient Size

Teacher Ratings

Mediterranean Diet and Health

Smiles and Leniency

Animal Research

ADHD Treatment

Weapons and Aggression

SAT and College GPA

Stereograms

Driving

Guns and Aggression

Stroop Interference

TV Violence

Bias Against Associates of the Obese

Shaking and Stirring Martinis