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• Introduction
• What are statistics?
• Importance of Statistics
• Descriptive Statistics
• Inferential Statistics
• Sampling Demonstration
• Variables
• Percentiles
• Measurement
• Levels of Measurement
• Measurement Demonstration
• Distributions
• Summation Notation
• Linear Transformations
• Exercises

• Graphing Distributions
• Qualitative Variables
• Quantitative Variables
• Stem and Leaf Displays
• Histograms
• Frequency Polygons
• Box Plots
• Time to move the mouse over a target
• Draft lottery
• Box Plot Demonstration
• Bar Charts
• Line Graphs
• Exercises

• Summarizing Distributions
• Central Tendency
• What is Central Tendency
• Measure of Central Tendency
• Balance Scale Simulation
• Absolute Difference Simulation
• Squared Differences Simulation
• Mean and Median
• Mean and Median Simulation
• Additional Measures
• Comparing Measures
• Variability
• Measures of Variability
• Variability Demo
• Estimating Variance Simulation
• Shape
• Comparing Distributions Demo
• Effects of Transformations
• Variance Sum Law I
• Exercises

• 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
• 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
• 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
• Example Calculations
• Power Demo 1
• Factors Affecting Power
• Exercises

• Prediction
• Introduction to Linear Regression
• Linear Fit Demo
• Partitioning Sums of Squares
• Standard Error of the Estimate
• Prediction Line Demo
• Inferential Statistics for b and r
• Influential Observations
• Regression Toward the Mean
• Introduction to Multiple Regression
• Exercises

• ANOVA
• Introduction
• ANOVA Designs
• One-Factor Anova (BetweenSubjects)
• 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*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
  
• Stroop Interference
  
• TV Violence
  
• Bias Against Associates of the Obese
  
• Shaking and Stirring Martinis
  

• Calculators
• Statistical Calculators
  
• Analysis Lab
  
  • General Instructions
    
  • ANOVA Instructions
    
• Binomial Distribution
  
• Chi Square Distribution
  
• F Distribution
  
• Inverse Normal Distribution
  
• Inverse t Distribution
  
• Normal Distribution
  
• Power Calculator
  
• r to Z’
  
• t Distribution
  
• Studentized Range Distribution
  

• Glossary
• Online Statistics Home

Free Statistics Videos

• The Average

• Sample vs. Population Mean

• Variance of a Population

• Sample Variance

• Standard Deviation

• Alternate Variance Formulas

• Introduction to Random Variables

• Probability Density Functions

• Binomial Distribution 1

• Binomial Distribution 2

• Binomial Distribution 3

• Binomial Distribution 4

• Expected Value: E(X)

• Expected Value of Binomial Distribution

• Poisson Process 1

• Poisson Process 2

• Law of Large Numbers

• Normal Distribution Excel Exercise

• Introduction to the Normal Distribution

• Normal Distribution Problems: Qualitative Sense of Normal Distributions

• Normal Distribution Problems: z-score

• Normal Distribution Problems: Empirical Rule

• Exercise: Standard Normal Distribution and the Empirical Rule

• More Empirical Rule and Z-score practice

• Central Limit Theorem

• Sampling Distribution of the Sample Mean

• Sampling Distribution of the Sample Mean 2

• Standard Error of the Mean

• Sampling Distribution Example Problem

• Confidence Interval 1

• Mean and Variance of Bernoulli Distribution Example

• Bernoulli Distribution Mean and Variance Formulas

• Margin of Error 1

• Margin of Error 2

• Confidence Interval Example

• Small Sample Size Confidence Intervals

• Hypothesis Testing and P-values

• One-Tailed and Two-Tailed Tests

• Z-statistics vs. T-statistics

• Type 1 Errors

• Small Sample Hypothesis Test

• T-Statistic Confidence Interval

• Large Sample Proportion Hypothesis Testing

• Variance of Differences of Random Variables

• Difference of Sample Means Distribution

• Confidence Interval of Difference of Means

• Clarification of Confidence Interval of Difference of Means

• Hypothesis Test for Difference of Means

• Comparing Population Proportions 1

• Comparing Population Proportions 2

• Hypothesis Test Comparing Population Proportions

• Squared Error of Regression Line

• Proof (Part 1) Minimizing Squared Error to…

• Proof (Part 3) Minimizing Squared Error to…

• Proof (Part 4) Minimizing Squared Error to…

• Regression Line Example

• Proof Part 2 Minimizing Squared Error to Line

• R-Squared or Coefficient of Determination

• Second Regression Example

• Calculating R-Squared

• Covariance and the Regression Line

• Chi-Square Distribution Introduction

• Pearson’s Chi Square Test (Goodness of Fit)

• Contingency Table Chi-Square Test

• ANOVA 1 – Calculating SST (Total Sum of Squares)

• ANOVA 2 – Calculating SSW and SSB (Total Sum of…

• ANOVA 3 -Hypothesis Test with F-Statistic

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