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