Difference between revisions of "AP Statistics Curriculum 2007"

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==This is an Outline of a General Advance-Placement (AP) Statistics Curriculum==
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#REDIRECT [[Probability and statistics EBook]]
 
 
===Outline===
 
Each topic discussed in the SOCR AP Curricumum should contain the following subsections:
 
* '''Motivation/Problem''': A real data set and fundamental challenge.
 
* '''Approach''': Models & strategies for solving the problem, data understanding & inference.
 
* '''Model Validation''': Checking/affirming underlying assumptions.
 
* '''Computational Resources''': Internet-based SOCR Tools (offline resources, e.g., tables).
 
* '''Examples''': computer simulations and real observed data.
 
* '''Hands-on activities''': Step-by-step 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: Goodness-of-Fit ====
 
====Contingency Tables: Independence and Homogeneity====
 
 
===Statistical Process Control===
 
====Control Charts for Variation and Mean ====
 
====Control Charts for Attributes====
 

Latest revision as of 22:59, 7 November 2008