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−  ==This is an Outline of a General AdvancePlacement (AP) Statistics Curriculum==
 +  #REDIRECT [[Probability and statistics EBook]] 
−   
−  ===Outline===
 
−  Each topic discussed in teh SOCR AP Curricumum should contain the following subsections:
 
−  * Motivation/Problem: A real data set and fundamental challenge.
 
−  * Approach: Strategies for solving the problem, data understanding & inference.
 
−  * Model Validation: Checking/affirming underlying assumptions.
 
−  * Computational Resources: Internetbased SOCR Tools (offline resources, e.g., tables).
 
−  * Examples: computer simulations and real observed data.
 
−  * Handson activities: Stepbystep practice problems.
 
−   
−  ===Introduction to Statistics===
 
−  ====The Nature of Data & Variation====
 
−  ====Uses and Abuses of Statistics ====
 
−  ====Design of Experiments ====
 
−  ====Statistics with Calculators and Computers====
 
− 
 
−  ===Describing, Exploring, and Comparing Data===
 
−  ====Summarizing data with Frequency Tables ====
 
−  ====Pictures of Data ====
 
−  ====Measures of Central Tendency ====
 
−  ====Measures of Variation ====
 
−  ====Measures of Position ====
 
−  ====Exploratory Data Analysis ====
 
− 
 
−  ===Probability===
 
−  ====Fundamentals====
 
−  ====Addition Rule ====
 
−  ====Multiplication Rule ====
 
−  ====Probabilities through Simulations ====
 
−  ====Counting ====
 
− 
 
−  ===Probability Distributions===
 
−  ====Random Variables ====
 
−  ====Bernoulli & Binomial Experiments ====
 
−  ====Geometric, HyperGeometric & Negative Binomial====
 
−  ====Mean, Variance, and Standard Deviation for the Binomial Distribution ====
 
−  ====Poisson Distribution====
 
− 
 
−  ===Normal Probability Distributions===
 
−  ====The Standard Normal Distribution ====
 
−  ====Nonstandard Normal Distribution: Finding Probabilities ====
 
−  ====Nonstandard Normal Distributions: Finding Scores ====
 
−   
−  ===Relations Between Distributions===
 
−  ====The Central Limit Theorem ====
 
−  ====Law of Large Numbers===
 
−  ====Normal Distribution as Approximation to Binomial Distribution ====
 
−  ====Poisson Approximation to Binomial Distribution ====
 
−  ====Binomial Approximation to HyperGeometric====
 
−  ====Normal Approximation to Poisson====
 
− 
 
−  ===Estimates and Sample Sizes===
 
−  ====Estimating a Population Mean: Large Samples ====
 
−  ====Estimating a Population Mean: Small Samples ====
 
−  ====Estimating a Population Proportion ====
 
−  ====Estimating a Population Variance====
 
− 
 
−  ===Hypothesis Testing===
 
−  ====Fundamentals of Hypothesis Testing ====
 
−  ====Testing a Claim about a Mean: Large Samples ====
 
−  ====Testing a Claim about a Mean: Small Samples ====
 
−  ====Testing a Claim about a Proportion ====
 
−  ====Testing a Claim about a Standard Deviation or Variance====
 
− 
 
−  ===Inferences from Two Samples===
 
−  ====Inferences about Two Means: Dependent Samples ====
 
−  ====Inferences about Two Means: Independent and Large Samples ====
 
−  ====Comparing Two Variances ====
 
−  ====Inferences about Two Means: Independent and Small Samples====
 
−  ====Inferences about Two Proportions ====
 
− 
 
−  ===Correlation and Regression===
 
−  ====Correlation ====
 
−  ====Regression ====
 
−  ====Variation and Prediction Intervals ====
 
−  ====Multiple Regression ====
 
− 
 
−  ===Multinomial Experiments and Contingency Tables===
 
−  ====Multinomial Experiments: GoodnessofFit ====
 
−  ====Contingency Tables: Independence and Homogeneity====
 
− 
 
−  ===Statistical Process Control===
 
−  ====Control Charts for Variation and Mean ====
 
−  ====Control Charts for Attributes====
 