Statistics

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Describing Bivariate Data

  1. Introduction to Bivariate Data
  2. Values of the Pearson Correlation
  3. Guessing Correlations Simulation
  4. Properties of Pearson's r
  5. Computing Pearson's r
  6. Restriction of Range Demo
  7. Variance Sum Law II
  8. Exercises

Probability

  1. Introduction
  2. Basic Concepts
  3. Conditional Probability Demo
  4. Binomial Distribution
  5. Binomial Demonstration
  6. Exercises

Normal Distributions

  1. Introduction
  2. History
  3. Areas of Normal Distributions
  4. Varieties of Normal Distribution Demo
  5. Standard Normal
  6. Normal Approximation to the Binomial
  7. Normal Approximation Demo
  8. Exercises

Sampling Distributions (low priority)

  1. Introduction
  2. Basic Demo
  3. Sample Size Demo
  4. Central Limit Theorem Demo
  5. Sampling Distribution of the Mean
  6. Sampling Distribution of Difference Between Means
  7. Sampling Distribution of Pearson's r
  8. Sampling Distribution of a Proportion
  9. Exercises

Estimation

  1. Introduction to Estimation
  2. Degrees of Freedom
  3. Characteristics of Estimators
  4. Bias and Variability Simulation
  5. Confidence Intervals
  6. Introduction
  7. Confidence Interval for the Mean
  8. t distribution
  9. Confidence Interval Simulation
  10. Confidence Interval for the Difference Between Means
  11. Confidence Interval for Pearson's Correlation
  12. Confidence Interval for a Proportion

Hypothesis Testing (important) - DONE

  1. Introduction to Hypothesis Testing
  2. Hypothesis Testing - Presentation
  3. Introduction to Hypothesis Testing
  4. Significance Testing
  5. Type I and II Errors
  6. One- and Two-Tailed Tests
  7. Significant Results
  8. Non-Significant Results
  9. Steps in Hypothesis Testing
  10. Significance Testing and Confidence Intervals
  11. Misconceptions

Testing Means (important) (DONE)

  1. Testing a Single Mean
  2. t Distribution Demo
  3. Differences between Two Means (Independent Groups)
  4. Robustnes Simulation
  5. All Pairwise Comparisons Among Means
  6. Specific Comparisons
  7. Difference between Two Means (Correlated Pairs)
  8. Correlated t Simulation
  9. Specific Comparisons (Correlated Observations)
  10. Pairwise Comparisons (Correlated Observations)

Power (important) DONE

  1. Introduction to Power
  2. Example Calculations
  3. Power Demo 1
  4. Power Demo 2
  5. Factors Affecting Power
  6. Power Exercises

Prediction (low priroity)

  1. Introduction to Simple Linear Regression
  2. Linear Fit Demo
  3. Partitioning Sums of Squares
  4. Standard Error of the Estimate
  5. Prediction Line Demo
  6. Inferential Statistics for b and r

ANOVA (important)

  1. Introduction to ANOVA (DONE)
  2. ANOVA Designs (DONE)
  3. One-Factor ANOVA (Between-Subjects)
  4. One-Way Demo
  5. Multi-Factor ANOVA (Between-Subjects)
  6. Unequal Sample Sizes
  7. Tests Supplementing ANOVA
  8. Within-Subjects ANOVA
  9. Power of Within-Subjects Designs Demo

Chi Square (DONE)

  1. Chi Square Distribution
  2. One-Way Tables
  3. Testing Distributions Demo
  4. Contingency Tables
  5. 2 x 2 Table Simulation
  6. Chi Square Exercises