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Tutorials

• Tutorial Overview
• AP Statistics
• Statistics and Probability
• Matrix Algebra

Introduction to Quantitative Measures

• Variables in Statistics
• Measures of Central Tendency
• Measures of Variability
• Measures of Position

How to Read and Use Charts and Graphs

• Graphical Display of Data
• Dotplots
• Histograms and Bar Charts
• Stemplots (aka, Stem and Leaf Plots)
• Boxplots (aka, Box and Whisker Plots)
• Cumulative Frequency Plots
• Scatterplots
• Comparing Distributions

Least Squares Linear Regression

• Scales of Measurement
• Pearson Product-Moment Correlation
• Least Squares Linear Regression
• Regression Example
• Residual Analysis
• Outliers and Influential Points
• Transformations to Linearity

Anticipating Patterns

• Difference Between Means
• Difference Between Proportions
• Rules of Probability
• Probability
• Probability Distributions
• Random Variable Attributes
• Combinations of Random Variables
• Linear Transformations of Random Variables
• Random Variables
• Simulation of Random Events

Sampling Theory

• Simple Random Sample
• Central Tendency
• Measures of Variability
• Sampling Distributions
• t Distribution
• Chi-Square Distribution
• F Distribution

Foundations of Statistics

• Statistics Tutorial: Introduction
• Sets and Subsets
• Statistical Experiments
• How to Count Events
• Basic Probability
• Rules of Probability
• Bayes' Theorem (aka, Bayes' Rule)

Probability Distributions

• What is a Probability Distribution?
• Random Variables
• Binomial Distribution
• Negative Binomial Distribution
• Hypergeometric Distribution
• Multinomial Distribution
• Poisson Distribution
• Normal Distribution
• Standard Normal Distribution

How to Solve Estimation Problems

• Estimation Problems
• Standard Error
• Margin of Error
• Confidence Interval
• Estimating Means
• Difference Between Means
• Estimating Proportions
• Difference Between Proportions
• Estimating a Proportion: Small Sample
• Estimate Regression Slope

Sampling and Experimentation

• Data Collection Methods
• Survey Sampling Methods
• Sources of Bias in Survey Sampling
• Experiments
• Experimental Design

How to Test Hypotheses

• Hypothesis Testing
• How to Test Hypotheses
• Mean Score
• Difference Between Means
• Difference Between Paired Means
• Proportion
• Proportion: Small Sample
• Difference Between Proportions
• Chi-Square Goodness of Fit
• Chi-Square Test for Homogeneity
• Chi-Square Test for Independence
• Test Slope of Regression Line
• Region of Acceptance
• Power of a Hypothesis Test
• How to Compute Power

Survey Sampling

• Survey Sampling Into
• Simple Random Sample
• Stratified Sampling
• Stratified Sampling: Analysis
• Cluster Sampling
• Cluster Sampling: Analysis
• Sample Size: Simple Random Sample
• Sample Size: Stratified Sample
• Best Sampling Method

Relationships Between Categorical Variables

• One-Way Tables
• Exploring Categorical Data

Appendices

• AP Statistics Practice Exam
• Notation
• Important Statistics Formulas
• Advanced Placement (AP) Statistics Formulas

Recommended Reading

• Statistics Books
• Probability Books
• Survey Sampling Books
• AP Study Guides
• Analysis and Reporting With Excel
• Statistics and Graphing Calculators
• Book Reviews

Other Resources and Training Aids

• Glossary of Statistics Terms
• Database of Statistics Questions
• Useful Web Sites

Matrix Algebra

• Matrix Basics
• Types of Matrices
• Matrix Addition and Subtraction
• Matrix Multiplication
• Vector Multiplication
• Elementary-matrix-operations
• Echelon Form of a Matrix
• Changing A Matrix to Echelon Form
• Vector Dependence
• Matrix Rank
• Matrix Determinants
• Matrix Inverse
• Matrix Inverse Shortcuts
• How to Find Inverse of Any Matrix
• Simultaneous Linear Equations
• How to Compute Matrix Sums
• Matrix Algebra: Mean Scores
• Matrix Algebra: Deviation Scores
• Matrix Sums of Squares
• Variance-Covariance Matrix
• Matrix Theorems
• Matrix Notation

• Advanced Placement Statistics Exam
• Frequently-Asked Questions

• Review of AP Study Guides
• AP Graphing Calculators

• Sample Planning Wizard: Description
• Wizard Capabilities
• Use the Wizard for Estimation
• Use the Wizard for Hypothesis Tests

• Use the Wizard for Survey Sampling
• Sample Planning Wizard Demo
• Sample Planning Wizard: Full Version

Probability Distribution Calculators

• Binomial
• Chi-Square
• F Distribution
• Hypergeometric Distribution
• Multinomial
• Negative Binomial
• Normal
• Poisson
• t Distribution

Probability Calculators

• Probability Calculator
• Bayes' Rule Calculator

Other Tools

• Random Number Generator
• Event Counter
• Statistical Tables
• Graphing Calculators
• Scientific Calculators
• Financial Calculators